Casimir Forces with Periodic Structures: Abrikosov Flux Lattices

We investigate the influence of the Abrikosov vortex lattice on the Casimir force in a setup constituted by high-temperature superconductors subject to an external magnetic field. The Abrikosov lattice is a property of type II superconductors in which normal and superconducting carriers coexist and...

Full description

Saved in:
Bibliographic Details
Published inPhysics (Online) Vol. 6; no. 1; pp. 394 - 406
Main Authors Castillo-López, Shunashi Guadalupe, Esquivel-Sirvent, Raúl, Pirruccio, Giuseppe, Villarreal, Carlos
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2024
Subjects
Online AccessGet full text

Cover

Loading…
Abstract We investigate the influence of the Abrikosov vortex lattice on the Casimir force in a setup constituted by high-temperature superconductors subject to an external magnetic field. The Abrikosov lattice is a property of type II superconductors in which normal and superconducting carriers coexist and the latter define a periodic pattern with square symmetry. We find that the optical properties determined by spatial redistribution of the superconducting order parameter induce Casimir forces with a periodic structure whose minimal strengths coincide with the vortex cores.
AbstractList We investigate the influence of the Abrikosov vortex lattice on the Casimir force in a setup constituted by high-temperature superconductors subject to an external magnetic field. The Abrikosov lattice is a property of type II superconductors in which normal and superconducting carriers coexist and the latter define a periodic pattern with square symmetry. We find that the optical properties determined by spatial redistribution of the superconducting order parameter induce Casimir forces with a periodic structure whose minimal strengths coincide with the vortex cores.
Author Pirruccio, Giuseppe
Castillo-López, Shunashi Guadalupe
Villarreal, Carlos
Esquivel-Sirvent, Raúl
Author_xml – sequence: 1
  givenname: Shunashi Guadalupe
  orcidid: 0000-0002-2251-3961
  surname: Castillo-López
  fullname: Castillo-López, Shunashi Guadalupe
– sequence: 2
  givenname: Raúl
  orcidid: 0000-0002-8168-180X
  surname: Esquivel-Sirvent
  fullname: Esquivel-Sirvent, Raúl
– sequence: 3
  givenname: Giuseppe
  orcidid: 0000-0001-7848-2853
  surname: Pirruccio
  fullname: Pirruccio, Giuseppe
– sequence: 4
  givenname: Carlos
  orcidid: 0000-0003-3569-2820
  surname: Villarreal
  fullname: Villarreal, Carlos
BookMark eNp1UEtLAzEQDlLBWnv1vOB5azavzXqyFKuFgoK9hzSb2NTtpiZZtf_e1Cqo4GmG4XvNdwp6rWs1AOcFHGFcwcvtahesCgwWECJ2BPqIIZLzoiS9H_sJGIawhglCIa0Q7YPriQx2Y302dV7pkL3ZuMoetLeutip7jL5TsfM6XGXjpbfPLrjXbNp079lcxmgT4wwcG9kEPfyaA7CY3iwmd_n8_nY2Gc9zRQoUc6SV0pggTmtJGdK0XBrCZMlKTgpYIswlqXVtuMaQGYYUN4pwiqTiKj2EB2B2kK2dXIuttxvpd8JJKz4Pzj8J6VOgRgttDCaYyAKXBWG8kpwqgzFNltwYBJPWxUFr691Lp0MUa9f5NqUXGEKMCSurvSM5oJR3IXhthLJRRuva6KVtRAHFvnnxu_lEG_2hfYf9h_AB9ayH_A
CitedBy_id crossref_primary_10_3390_physics6030066
crossref_primary_10_1142_S0217751X25430213
crossref_primary_10_1103_PhysRevD_110_016010
Cites_doi 10.1103/PhysRevLett.78.5
10.1103/PhysRevB.38.6683
10.1103/PhysRevLett.98.050403
10.1103/PhysRevB.37.1574
10.1088/0034-4885/58/11/003
10.1007/s10948-018-4916-0
10.1103/PhysRevA.78.012115
10.1093/oso/9780198507550.001.0001
10.1103/PhysRevB.88.075402
10.1103/RevModPhys.66.1125
10.1103/PhysRevB.85.165443
10.1088/1751-8113/41/16/164023
10.1103/RevModPhys.81.1827
10.1016/j.aop.2005.03.007
10.1103/PhysRevA.62.052109
10.1103/PhysRevA.69.042109
10.1088/1751-8113/40/17/F04
10.1103/PhysRevA.69.022117
10.1038/nphoton.2011.39
10.1038/s41598-022-06866-5
10.1103/PhysRevLett.121.030405
10.1103/PhysRevA.99.052507
10.1103/PhysRevB.70.195412
10.1209/0295-5075/85/31001
10.1103/PhysRevLett.94.180402
10.3390/universe7040093
10.1142/S0217979213470012
10.1038/ncomms3515
10.1103/RevModPhys.77.721
10.1007/BF00683774
10.1103/PhysRevA.100.042504
10.1103/PhysRevLett.102.230404
10.1103/PhysRevA.75.064901
10.15864/ijiip.1103
10.1103/PhysRevA.100.052511
10.1088/0305-4470/39/21/S06
10.1103/RevModPhys.76.975
10.1209/0295-5075/118/20002
10.1103/RevModPhys.82.109
10.1103/PhysRevLett.88.041804
10.1142/9789812810526
10.1038/nphys2456
10.1016/j.ijheatmasstransfer.2021.121922
10.1038/nphys1909
10.1103/PhysRevLett.91.050402
10.1088/0305-4470/39/21/S07
10.1103/PhysRevA.78.062101
10.1093/acprof:oso/9780199238743.001.0001
10.1103/RevModPhys.72.769
10.1016/j.physrep.2005.02.005
10.1103/PhysRevLett.95.137002
10.1103/PhysRevLett.110.137401
10.1088/0034-4885/79/11/116501
10.1103/PhysRevLett.104.040403
10.1103/PhysRevB.93.184434
10.1209/epl/i2003-10282-0
10.1142/9383
ContentType Journal Article
Copyright 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID AAYXX
CITATION
8FE
8FG
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
P5Z
P62
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
DOA
DOI 10.3390/physics6010026
DatabaseName CrossRef
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One
ProQuest Central Korea
SciTech Premium Collection
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic (New)
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
DOAJ Open Access Journals
DatabaseTitle CrossRef
Publicly Available Content Database
Advanced Technologies & Aerospace Collection
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central
Advanced Technologies & Aerospace Database
ProQuest One Applied & Life Sciences
ProQuest One Academic UKI Edition
ProQuest Central Korea
ProQuest Central (New)
ProQuest One Academic
ProQuest One Academic (New)
DatabaseTitleList
CrossRef
Publicly Available Content Database
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2624-8174
EndPage 406
ExternalDocumentID oai_doaj_org_article_eff3434a13714689a85cf33557b8ff20
10_3390_physics6010026
GroupedDBID AAFWJ
AAYXX
ABDBF
ADMLS
AFKRA
AFPKN
ALMA_UNASSIGNED_HOLDINGS
ARAPS
BENPR
BGLVJ
CCPQU
CITATION
GROUPED_DOAJ
HCIFZ
IAO
IGS
ITC
MODMG
PHGZM
PHGZT
PIMPY
8FE
8FG
ABUWG
AZQEC
DWQXO
P62
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PUEGO
ID FETCH-LOGICAL-c412t-2ecce34285da562e57bf46a76784107238a4dedf8e306f62c8fc4852ac8c0263
IEDL.DBID BENPR
ISSN 2624-8174
IngestDate Wed Aug 27 01:28:43 EDT 2025
Fri Jul 25 23:53:37 EDT 2025
Tue Jul 01 02:31:38 EDT 2025
Thu Apr 24 23:11:42 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License https://creativecommons.org/licenses/by/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c412t-2ecce34285da562e57bf46a76784107238a4dedf8e306f62c8fc4852ac8c0263
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-3569-2820
0000-0001-7848-2853
0000-0002-2251-3961
0000-0002-8168-180X
OpenAccessLink https://www.proquest.com/docview/3003346796?pq-origsite=%requestingapplication%
PQID 3003346796
PQPubID 5046871
PageCount 13
ParticipantIDs doaj_primary_oai_doaj_org_article_eff3434a13714689a85cf33557b8ff20
proquest_journals_3003346796
crossref_citationtrail_10_3390_physics6010026
crossref_primary_10_3390_physics6010026
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2024-03-01
PublicationDateYYYYMMDD 2024-03-01
PublicationDate_xml – month: 03
  year: 2024
  text: 2024-03-01
  day: 01
PublicationDecade 2020
PublicationPlace Basel
PublicationPlace_xml – name: Basel
PublicationTitle Physics (Online)
PublicationYear 2024
Publisher MDPI AG
Publisher_xml – name: MDPI AG
References Zuev (ref_55) 2005; 95
Bonn (ref_57) 1988; 37
Lifshitz (ref_2) 1956; 2
ref_53
ref_52
Brandt (ref_61) 1995; 58
Rosenstein (ref_36) 2010; 82
Bimonte (ref_26) 2006; 39
Suderow (ref_38) 2014; 27
ref_18
ref_17
ref_16
Scheel (ref_40) 2007; 75
Bressi (ref_5) 2002; 88
Chang (ref_11) 2012; 85
Bimonte (ref_21) 2016; 93
Chang (ref_63) 2012; 8
Bimonte (ref_24) 2005; 94
Bimonte (ref_27) 2008; 41
ref_23
Noguez (ref_43) 2004; 70
Klimchitskaya (ref_14) 2009; 81
Jourdan (ref_10) 2009; 85
Neto (ref_45) 2009; 102
ref_20
Noguez (ref_41) 2004; 69
Chen (ref_56) 2005; 412
Chen (ref_7) 2004; 69
Bimonte (ref_25) 2006; 39
Bimonte (ref_30) 2019; 99
Decca (ref_6) 2003; 91
Timusk (ref_58) 1988; 38
Neto (ref_44) 2008; 78
Banishev (ref_12) 2013; 110
Krause (ref_9) 2007; 98
Bimonte (ref_28) 2008; 78
Pal (ref_51) 2019; 1
Bimonte (ref_47) 2017; 118
Kwok (ref_37) 2016; 79
Intravaia (ref_62) 2013; 4
ref_34
Noguez (ref_42) 2004; 67
Klimchitskaya (ref_60) 2007; 40
Sushkov (ref_19) 2011; 7
Villarreal (ref_31) 2019; 100
Harris (ref_4) 2000; 62
Sonier (ref_39) 2000; 72
Casimir (ref_1) 1948; 51
Lamoreaux (ref_3) 1997; 78
Lomnitz (ref_54) 2013; 27
Blatter (ref_35) 1994; 66
Pirruccio (ref_32) 2022; 12
Villarreal (ref_49) 2022; 182
Decca (ref_8) 2005; 318
Abrikosov (ref_33) 2004; 76
(ref_50) 1985; 59
Basov (ref_59) 2005; 77
Rodriguez (ref_15) 2011; 5
Neto (ref_46) 2010; 104
Xu (ref_13) 2013; 88
ref_48
Liu (ref_22) 2019; 100
Norte (ref_29) 2018; 121
Huebener (ref_64) 2019; 32
References_xml – volume: 78
  start-page: 5
  year: 1997
  ident: ref_3
  article-title: Demonstration of the Casimir force in the 0.6 to 6 μm range
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.78.5
– volume: 38
  start-page: 6683
  year: 1988
  ident: ref_58
  article-title: Infrared studies of ab-plane oriented oxide superconductors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.38.6683
– volume: 98
  start-page: 050403
  year: 2007
  ident: ref_9
  article-title: Experimental investigation of the Casimir force beyond the proximity-force approximation
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.98.050403
– volume: 37
  start-page: 1574
  year: 1988
  ident: ref_57
  article-title: Far-infrared properties of ab-plane oriented YBa2Cu3O7-δ
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.37.1574
– volume: 58
  start-page: 1465
  year: 1995
  ident: ref_61
  article-title: The flux-line lattice in superconductors
  publication-title: Rep. Prog. Phys.
  doi: 10.1088/0034-4885/58/11/003
– volume: 32
  start-page: 475
  year: 2019
  ident: ref_64
  article-title: The Abrikosov vortex lattice: Its discovery and impact
  publication-title: J. Supercond. Nov. Magn.
  doi: 10.1007/s10948-018-4916-0
– volume: 78
  start-page: 012115
  year: 2008
  ident: ref_44
  article-title: Casimir energy between a plane and a sphere in electromagnetic vacuum
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.78.012115
– ident: ref_34
  doi: 10.1093/oso/9780198507550.001.0001
– volume: 88
  start-page: 075402
  year: 2013
  ident: ref_13
  article-title: Casimir interaction at liquid nitrogen temperature: Comparison between experiment and theory
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.88.075402
– ident: ref_16
– volume: 66
  start-page: 1125
  year: 1994
  ident: ref_35
  article-title: Vortices in hightemperature superconductors
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.66.1125
– volume: 85
  start-page: 165443
  year: 2012
  ident: ref_11
  article-title: Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using an atomic force microscope in a frequency-shift technique
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.85.165443
– volume: 41
  start-page: 164023
  year: 2008
  ident: ref_27
  article-title: Low noise cryogenic system for the measurement of the Casimir energy in rigid cavities
  publication-title: J. Phys. A Math. Theor.
  doi: 10.1088/1751-8113/41/16/164023
– volume: 81
  start-page: 1827
  year: 2009
  ident: ref_14
  article-title: The Casimir force between real materials: Experiment and theory
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.81.1827
– volume: 27
  start-page: 063001
  year: 2014
  ident: ref_38
  article-title: Imaging superconducting vortex cores and lattices with a scanning tunneling microscope
  publication-title: SuST
– volume: 318
  start-page: 37
  year: 2005
  ident: ref_8
  article-title: Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions
  publication-title: Ann. Phys.
  doi: 10.1016/j.aop.2005.03.007
– volume: 62
  start-page: 052109
  year: 2000
  ident: ref_4
  article-title: Precision measurement of the Casimir force using gold surfaces
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.62.052109
– volume: 69
  start-page: 042109
  year: 2004
  ident: ref_41
  article-title: Spectral representation of the nonretarded dispersive force between a sphere and a substrate
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.69.042109
– volume: 40
  start-page: F339
  year: 2007
  ident: ref_60
  article-title: Kramers–Kronig relations for plasma-like permittivities and the Casimir force
  publication-title: J. Phys. A Math. Theor.
  doi: 10.1088/1751-8113/40/17/F04
– volume: 69
  start-page: 022117
  year: 2004
  ident: ref_7
  article-title: Theory confronts experiment in the Casimir force measurements: Quantification of errors and precision
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.69.022117
– volume: 5
  start-page: 211
  year: 2011
  ident: ref_15
  article-title: The Casimir effect in microstructured geometries
  publication-title: Nat. Phot.
  doi: 10.1038/nphoton.2011.39
– volume: 12
  start-page: 2905
  year: 2022
  ident: ref_32
  article-title: Casimir forces out of thermal equilibrium near a superconducting transition
  publication-title: Sci. Rep.
  doi: 10.1038/s41598-022-06866-5
– ident: ref_52
– volume: 121
  start-page: 030405
  year: 2018
  ident: ref_29
  article-title: Platform for measurements of the Casimir force between two superconductors
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.121.030405
– volume: 99
  start-page: 052507
  year: 2019
  ident: ref_30
  article-title: Casimir effect between superconductors
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.99.052507
– ident: ref_48
– volume: 70
  start-page: 195412
  year: 2004
  ident: ref_43
  article-title: Dispersive force between dissimilar materials: Geometrical effects
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.70.195412
– volume: 85
  start-page: 31001
  year: 2009
  ident: ref_10
  article-title: Quantitative non-contact dynamic Casimir force measurements
  publication-title: EPL (Europhys. Lett.)
  doi: 10.1209/0295-5075/85/31001
– volume: 94
  start-page: 180402
  year: 2005
  ident: ref_24
  article-title: Towards measuring variations of Casimir energy by a superconducting cavity
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.94.180402
– volume: 51
  start-page: 793
  year: 1948
  ident: ref_1
  article-title: On the attraction between two perfectly conducting plates
  publication-title: Proc. Kon. Ned. Akad. Wet. B
– ident: ref_23
  doi: 10.3390/universe7040093
– volume: 27
  start-page: 1347001
  year: 2013
  ident: ref_54
  article-title: BEC model of high-Tc superconductivity in layered cuprates
  publication-title: Int. J. Mod. Phys. B
  doi: 10.1142/S0217979213470012
– volume: 4
  start-page: 2515
  year: 2013
  ident: ref_62
  article-title: Strong Casimir force reduction through metallic surface nanostructuring
  publication-title: Nat. Commun.
  doi: 10.1038/ncomms3515
– volume: 77
  start-page: 721
  year: 2005
  ident: ref_59
  article-title: Electrodynamics of high-Tc superconductors
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.77.721
– volume: 59
  start-page: 195
  year: 1985
  ident: ref_50
  article-title: Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity
  publication-title: J. Low Temp. Phys.
  doi: 10.1007/BF00683774
– ident: ref_53
– volume: 100
  start-page: 042504
  year: 2019
  ident: ref_31
  article-title: Casimir forces and high-Tc superconductors
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.100.042504
– volume: 102
  start-page: 230404
  year: 2009
  ident: ref_45
  article-title: Casimir interaction between plane and spherical metallic surfaces
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.230404
– volume: 75
  start-page: 064901
  year: 2007
  ident: ref_40
  article-title: Feasibility of studying vortex noise in two-dimensional superconductors with cold atoms
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.75.064901
– volume: 1
  start-page: 17
  year: 2019
  ident: ref_51
  article-title: Gorter-Casimir two fluid model revisited and possible applications to superconductivity
  publication-title: Int. J. Innov. Res. Phys.
  doi: 10.15864/ijiip.1103
– volume: 100
  start-page: 052511
  year: 2019
  ident: ref_22
  article-title: Precision measurements of the gradient of the Casimir force between ultraclean metallic surfaces at larger separations
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.100.052511
– volume: 39
  start-page: 6153
  year: 2006
  ident: ref_25
  article-title: The Aladin2 experiment: Status and perspectives
  publication-title: J. Phys. A Math. Gen.
  doi: 10.1088/0305-4470/39/21/S06
– volume: 76
  start-page: 975
  year: 2004
  ident: ref_33
  article-title: Nobel Lecture: Type-II superconductors and the vortex lattice
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.76.975
– volume: 118
  start-page: 20002
  year: 2017
  ident: ref_47
  article-title: Going beyond PFA: A precise formula for the sphere-plate Casimir force
  publication-title: EPL (Europhys. Lett.)
  doi: 10.1209/0295-5075/118/20002
– volume: 82
  start-page: 109
  year: 2010
  ident: ref_36
  article-title: Ginzburg-Landau theory of type II superconductors in magnetic field
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.82.109
– volume: 88
  start-page: 041804
  year: 2002
  ident: ref_5
  article-title: Measurement of the Casimir force between parallel metallic surfaces
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.88.041804
– ident: ref_17
  doi: 10.1142/9789812810526
– volume: 8
  start-page: 871
  year: 2012
  ident: ref_63
  article-title: Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67
  publication-title: Nat. Phys.
  doi: 10.1038/nphys2456
– volume: 182
  start-page: 121922
  year: 2022
  ident: ref_49
  article-title: Enhancing near-field radiative heat transfer by means of superconducting thin films
  publication-title: Int. J. Heat Mass Transf.
  doi: 10.1016/j.ijheatmasstransfer.2021.121922
– volume: 7
  start-page: 230
  year: 2011
  ident: ref_19
  article-title: Observation of the thermal Casimir force
  publication-title: Nat. Phys.
  doi: 10.1038/nphys1909
– volume: 91
  start-page: 050402
  year: 2003
  ident: ref_6
  article-title: Measurement of the Casimir force between dissimilar metals
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.91.050402
– volume: 39
  start-page: 6161
  year: 2006
  ident: ref_26
  article-title: Casimir energy and the superconducting phase transition
  publication-title: J. Phys. A Math. Gen.
  doi: 10.1088/0305-4470/39/21/S07
– volume: 78
  start-page: 062101
  year: 2008
  ident: ref_28
  article-title: Casimir effect in a superconducting cavity and the thermal controversy
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.78.062101
– ident: ref_18
  doi: 10.1093/acprof:oso/9780199238743.001.0001
– volume: 72
  start-page: 769
  year: 2000
  ident: ref_39
  article-title: μSR studies of the vortex state in type-II superconductors
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.72.769
– volume: 412
  start-page: 1
  year: 2005
  ident: ref_56
  article-title: BCS–BEC crossover: From high temperature superconductors to ultracold superfluids
  publication-title: Phys. Rep.
  doi: 10.1016/j.physrep.2005.02.005
– volume: 2
  start-page: 73
  year: 1956
  ident: ref_2
  article-title: The theory of molecular attractive forces between solids
  publication-title: Sov. Phys. JETP
– volume: 95
  start-page: 137002
  year: 2005
  ident: ref_55
  article-title: Correlation between superfluid density and Tc of underdoped YBa2 Cu3 O6+x near the superconductor-insulator transition
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.95.137002
– volume: 110
  start-page: 137401
  year: 2013
  ident: ref_12
  article-title: Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.110.137401
– volume: 79
  start-page: 116501
  year: 2016
  ident: ref_37
  article-title: Vortices in high-performance high-temperature superconductors
  publication-title: Rep. Prog. Phys.
  doi: 10.1088/0034-4885/79/11/116501
– volume: 104
  start-page: 040403
  year: 2010
  ident: ref_46
  article-title: Thermal Casimir effect in the plane-sphere geometry
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.104.040403
– volume: 93
  start-page: 184434
  year: 2016
  ident: ref_21
  article-title: Isoelectronic determination of the thermal Casimir force
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.93.184434
– volume: 67
  start-page: 191
  year: 2004
  ident: ref_42
  article-title: High-multipolar effects on the Casimir force: The non-retarded limit
  publication-title: EPL (Europhys. Lett.)
  doi: 10.1209/epl/i2003-10282-0
– ident: ref_20
  doi: 10.1142/9383
SSID ssj0002505925
Score 2.2761617
Snippet We investigate the influence of the Abrikosov vortex lattice on the Casimir force in a setup constituted by high-temperature superconductors subject to an...
SourceID doaj
proquest
crossref
SourceType Open Website
Aggregation Database
Enrichment Source
Index Database
StartPage 394
SubjectTerms Abrikosov lattice
Casimir force
Electrons
Equilibrium
fluxon
High temperature superconductors
Investigations
Lattices
Magnetic fields
Magnetic properties
Optical properties
Order parameters
Periodic structures
quantum vortex
Superconductivity
superconductor
Temperature
vortex matter
SummonAdditionalLinks – databaseName: DOAJ Open Access Journals
  dbid: DOA
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3fS8MwEA4iCL6IP3E6JQ-CT2FbkmapT85hGSIycMLeSpomMJyrrJv453vXdGMi4ouvJbTNXS73fcnxHSFXGUACFcWaOSNjJmXOmYmsY6gu551x2EEaqy2e1OBFPoyj8UarL6wJC_LAwXAt572QQpoOSsspHRsdWS8gS3Yz7T2v2DrkvA0yhXswJvaYR0GlUQCvb4WDghL5R6WksJGFKrH-H3txlWCSfbJXI0PaC390QLbc7JDsDMMLj8ht35STt8mcJsUcYpviASodwvop8omlz5UM7BK48w3tZfPJa1EWHzSZLj_po1lggVt5TEbJ_ag_YHX7A2Zlhy8YB-s6AfQgyg2gFAcz9lKZrsKrwjY2CzMyd7nXDmC_V9xqb6WOuLHawhTFCdmeFTN3SqjMbKebqZxLrwAwQUhybn0unYjBH23XIGxljdTW0uDYoWKaAkVA66Xfrdcg1-vx70EU49eRd2jc9SgUs64egIvT2sXpXy5ukObKNWkdYWUqsAudxFOws__4xjnZ5QBXQnVZk2yD19wFwI1FdlmtrC_d-9Je
  priority: 102
  providerName: Directory of Open Access Journals
Title Casimir Forces with Periodic Structures: Abrikosov Flux Lattices
URI https://www.proquest.com/docview/3003346796
https://doaj.org/article/eff3434a13714689a85cf33557b8ff20
Volume 6
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3fa9swED6WhsJeyvqLZeuMHgp9Eklk2ZH3sqZdvDLaEvoD8mZkWRphXdza6eifvztbSTtG92oLg-90p-87Hd8BHOYICeIoUdxqmXApC8F1ZCwndTlntaUJ0tRtcRmf3crvs2jmC261b6tc5cQmUReloRp5P6SpY5KqHl_uHzhNjaLbVT9CowNdTMEKyVf3ZHI5vVpXWeiAT0TUqjWGyO_7bcGgJh7SKCq8OI0a0f5_cnJz0KTvYMsjRDZuXboNb-xiBzan7Qd34fhU1_Nf84qlZYUxzqiQyqa4j8pibth1Iwf7iBz6Mxvn1fxnWZe_WXr3-MTO9ZIa3eo9uEknN6dn3I9B4EYOxZILtLINkSZEhUa0YqNR7mSsRzFdGQ5oaJiWhS2csgj_XSyMckaqSGijDP5iuA8bi3Jh3wOTuRmO8rgQ0sUInDA0hTCukDZM0C8D2wO-skZmvEQ4Taq4y5AqkPWyv63Xg6P1-vtWHOPVlSdk3PUqErVuHpTVj8zHSGadC2Uo9ZBUBGOVaBUZFyIgGuXKOTHowcHKNZmPtDp73hcf_v_6I7wVCEja_rED2EB_2E8IKJZ5AB2VfgugO_56cX4d-D0UNPT8DwWoz0I
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3dTxQxEJ8AxuCLUYFwCtgHjU8Nd213r2ti5EOXQ05CwpHw1nS7rbmIt3h7-PFH-T86sx8nhsAbr9um2Uyn09_Mzv5-AK8yhARxlGjurUq4UrngNnKeE7tc8NaTgjR1WxzHgzP16Tw6X4A_7b8w1FbZxsQqUOeFoxr5tiTVMUVVj_eX3zmpRtHX1VZCo3aLI__7J6Zs5bvDD7i_r4VIP472B7xRFeBO9cSMC3xpLxF1R7nFy99H_Syo2PZj-gLXJQ0uq3KfB-0RTYdYOB2c0pGwTjtMWCQuuwgPlJQJHSidHsxLOoQmEhHV1JA43t2uqxMlJT0VfcO1q69SCLhxAVS3WvoEHjdwlO3W_vMUFvzkGTw8qRdcgZ19W46_jacsLaYYUBhVbdkJOm2Rjx07rbhnrzBhf8t2s-n4a1EWP1h6cfWLDe2MuurKVRjdh3XWYGlSTPw6MJW5Xj-Lc6FCjCgN44AQLuTKywSdoOs7wFtrGNfwkZMsxoXBvISsZ_63XgfezOdf1kwct87cI-POZxGDdvWgmH4xzYE0PgSppLI9oiyMdWJ15IJE9NXPdAii24GNdmtMc6xL888Jn989_BKWB6PPQzM8PD56AY8EIqG6cW0DlnBv_CYimVm2VfkPA3PP_voXFlAGbA
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwEB6VrUC9oJaH2LYUH0CcrM3azgsJQV9RS6vVCorUm-U4Nlq13bSbbQs_jX_HTB4LFYJbr4llKePx-Jvx5PsAXucICaIwTbgzKuVKFYKb0DpO7HLeGUcK0tRtMYoOvqpPp-HpEvzs_oWhtsouJtaBuigt1cgHklTHFFU9Br5tixjvZR8urzgpSNFNayen0bjIkftxi-lb9f5wD9f6jRDZ_snuAW8VBrhVQzHnAj_ASUTgYWEQCLgwzr2KTBzRbVxAelxGFa7wiUNk7SNhE29VEgpjE4vJi8RpH8ByjElR0IPlnf3R-POiwEPYIhVhQxQpZRoMmlpFRSlQTebwx0FY6wX8dRzUZ1y2Co9bcMq2G29agyU3fQIPx82ET-HjrqkmF5MZy8oZhhdGNVw2Rhcui4llX2om2mtM39-x7Xw2OSur8oZl59ff2bGZU49d9QxO7sM-z6E3LafuBTCV22GcR4VQPkLMhlFBCOsL5WSKLhG4PvDOGtq27OQkknGuMUsh6-m71uvD28X4y4aX458jd8i4i1HEp10_KGffdLs9tfNeKqnMkAgMoyQ1SWi9RCwW54n3IujDZrc0ut3klf7tkuv_f_0KHqGv6uPD0dEGrAiERU0X2yb0cGncS4Q183yrdSAG-p5d9hd2nwv-
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Casimir+Forces+with+Periodic+Structures%3A+Abrikosov+Flux+Lattices&rft.jtitle=Physics+%28Online%29&rft.au=Castillo-L%C3%B3pez%2C+Shunashi+Guadalupe&rft.au=Esquivel-Sirvent%2C+Ra%C3%BAl&rft.au=Pirruccio%2C+Giuseppe&rft.au=Villarreal%2C+Carlos&rft.date=2024-03-01&rft.issn=2624-8174&rft.eissn=2624-8174&rft.volume=6&rft.issue=1&rft.spage=394&rft.epage=406&rft_id=info:doi/10.3390%2Fphysics6010026&rft.externalDBID=n%2Fa&rft.externalDocID=10_3390_physics6010026
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2624-8174&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2624-8174&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2624-8174&client=summon