Anisotropy of Yu-Shiba-Rusinov states in NbSe\(_2\)
The spatial structure of in-gap Yu-Shiba-Rusinov (YSR) bound states induced by a magnetic impurity in a superconductor is the essential ingredient for the possibility of engineering collective impurity states. Recently, a saddle-point approximation [Phys. Rev. B 105, 144503] revealed how the spatial...
Saved in:
Published in | arXiv.org |
---|---|
Main Authors | , , , , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
20.06.2024
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | The spatial structure of in-gap Yu-Shiba-Rusinov (YSR) bound states induced by a magnetic impurity in a superconductor is the essential ingredient for the possibility of engineering collective impurity states. Recently, a saddle-point approximation [Phys. Rev. B 105, 144503] revealed how the spatial form of a YSR state is controlled by an anisotropic exponential decay length, and an anisotropic prefactor, which depends on the Fermi velocity and Fermi-surface curvature. Here we analyze STM data on YSR states in NbSe\(_2\), focusing on a key issue that the exponential decay length predicted theoretically from the small superconducting gap is much larger than the observed extent of YSR states. We confirm that the exponential decay can be neglected in the analysis of the anisotropy. Instead, we extract the anisotropic prefactor directly from the data, matching it to the theoretical prediction, and we establish that the theoretical expression for the prefactor alone captures the characteristic flower-like shape of the YSR state. Surprisingly, we find that up to linear order in the superconducting gap the anisotropic prefactor that determines the shape of YSR states is the same as the anisotropic response to the impurity in the underlying normal metal. Our work points out the correct way to analyze STM data on impurities in small-gap superconductors, and reveals the importance of the normal band structure's curvature and Fermi velocity in designing multi-impurity in-gap states in superconductors. |
---|---|
AbstractList | The spatial structure of in-gap Yu-Shiba-Rusinov (YSR) bound states induced by a magnetic impurity in a superconductor is the essential ingredient for the possibility of engineering collective impurity states. Recently, a saddle-point approximation [Phys. Rev. B 105, 144503] revealed how the spatial form of a YSR state is controlled by an anisotropic exponential decay length, and an anisotropic prefactor, which depends on the Fermi velocity and Fermi-surface curvature. Here we analyze STM data on YSR states in NbSe\(_2\), focusing on a key issue that the exponential decay length predicted theoretically from the small superconducting gap is much larger than the observed extent of YSR states. We confirm that the exponential decay can be neglected in the analysis of the anisotropy. Instead, we extract the anisotropic prefactor directly from the data, matching it to the theoretical prediction, and we establish that the theoretical expression for the prefactor alone captures the characteristic flower-like shape of the YSR state. Surprisingly, we find that up to linear order in the superconducting gap the anisotropic prefactor that determines the shape of YSR states is the same as the anisotropic response to the impurity in the underlying normal metal. Our work points out the correct way to analyze STM data on impurities in small-gap superconductors, and reveals the importance of the normal band structure's curvature and Fermi velocity in designing multi-impurity in-gap states in superconductors. |
Author | Massee, Freek Cren, Tristan Simon, Pascal Mesaros, Andrej Mateo Uldemolins |
Author_xml | – sequence: 1 fullname: Mateo Uldemolins – sequence: 2 givenname: Freek surname: Massee fullname: Massee, Freek – sequence: 3 givenname: Tristan surname: Cren fullname: Cren, Tristan – sequence: 4 givenname: Andrej surname: Mesaros fullname: Mesaros, Andrej – sequence: 5 givenname: Pascal surname: Simon fullname: Simon, Pascal |
BookMark | eNrjYmDJy89LZWLgNDI2NtS1MDEy4mDgLS7OMjAwMDIzNzI1NeZkMHbMyyzOLynKL6hUyE9TiCzVDc7ITErUDSotzszLL1MoLkksSS1WyMxT8EsKTo3RiDeK0eRhYE1LzClO5YXS3AzKbq4hzh66BUX5haWpxSXxWfmlRXlAqXhjA3MDCwsgMjcmThUA6Sc09w |
ContentType | Paper |
Copyright | 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
Copyright_xml | – notice: 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS |
DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea SciTech Premium Collection ProQuest Engineering Collection Engineering Database Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection |
DatabaseTitle | Publicly Available Content Database Engineering Database Technology 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 China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic Engineering Collection |
DatabaseTitleList | Publicly Available Content Database |
Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Physics |
EISSN | 2331-8422 |
Genre | Working Paper/Pre-Print |
GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PIMPY PQEST PQQKQ PQUKI PRINS PTHSS |
ID | FETCH-proquest_journals_30708808873 |
IEDL.DBID | BENPR |
IngestDate | Tue Sep 24 23:34:28 EDT 2024 |
IsOpenAccess | true |
IsPeerReviewed | false |
IsScholarly | false |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-proquest_journals_30708808873 |
OpenAccessLink | https://www.proquest.com/docview/3070880887/abstract/?pq-origsite=%requestingapplication% |
PQID | 3070880887 |
PQPubID | 2050157 |
ParticipantIDs | proquest_journals_3070880887 |
PublicationCentury | 2000 |
PublicationDate | 20240620 |
PublicationDateYYYYMMDD | 2024-06-20 |
PublicationDate_xml | – month: 06 year: 2024 text: 20240620 day: 20 |
PublicationDecade | 2020 |
PublicationPlace | Ithaca |
PublicationPlace_xml | – name: Ithaca |
PublicationTitle | arXiv.org |
PublicationYear | 2024 |
Publisher | Cornell University Library, arXiv.org |
Publisher_xml | – name: Cornell University Library, arXiv.org |
SSID | ssj0002672553 |
Score | 3.54148 |
SecondaryResourceType | preprint |
Snippet | The spatial structure of in-gap Yu-Shiba-Rusinov (YSR) bound states induced by a magnetic impurity in a superconductor is the essential ingredient for the... |
SourceID | proquest |
SourceType | Aggregation Database |
SubjectTerms | Anisotropy Curvature Data analysis Decay Impurities Saddle points Superconductivity Superconductors |
Title | Anisotropy of Yu-Shiba-Rusinov states in NbSe\(_2\) |
URI | https://www.proquest.com/docview/3070880887/abstract/ |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3dS8MwED-2FcE3P_FjjoI-6ENom6TVPYlKZxFWxqYwYVCSJmV9aWvbCb74t5uUVh-EPYZAQsLd_ZK7390BXCWYJkwwiXjMKKLUlkhpkUAY2xJzTl3RlFKahl7wRl-W7rIHQZcLo2mVnU1sDLXIY-0jt7RsKllTOmExrr0AcW3dFx9I94_Scda2mUYfDOxQHbA1Hv1wNv_1t2DvVr2eyT-T2-DIZA-MGStkuQ89mR3ATkO_jKtDIA9ZWuV1mRdfZp6Y7xu0WKecobmmpeefZpP2U5lpZoZ8IVfXEV7dHMHlxH99ClC3U9TKRRX9nYIcw0B98OUJmFyBbEIwk1gm1BFjRghLYoePXSYo9-gpDLetdLZ9-hx2sQJiTW_C9hAGdbmRFwpIaz6C_t3kedTelBpNv_0fMnB-Vw |
link.rule.ids | 786,790,12792,21416,33408,33779,43635,43840 |
linkProvider | ProQuest |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3PS8MwFH7ohujNn_hjakAPegh2SVrZSUSsVbcibsKEQUmaBHtpa9sJ_vcmodODsHMgCeG970tevvcewLkmTHPJFRYpZ5gxT2HjRRIT4ikiBPOlK6U0ioPojT1N_WkbcKtbWeUCEx1QyyK1MfIra5vG1oxP3JSf2HaNsr-rbQuNVegyaqjTZoqHD78xFhJcmxsz_QezjjvCTei-8FJVW7Ci8m1Yc5LLtN4BeptnddFURfmNCo3e53j8kQmOX60UvfhCLtWnRlmOYjFWs4uEzC534Sy8n9xFeLFS0tpCnfztnO5Bxzzq1T4gYYhVU8IVUZr15YBTynXaFwOfSyYCdgC9ZTMdLh8-hfVoMhomw8f4-Qg2iCFiK28iXg86TTVXx4ZIG3HiTusHFZB6DQ |
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=Anisotropy+of+Yu-Shiba-Rusinov+states+in+NbSe%5C%28_2%5C%29&rft.jtitle=arXiv.org&rft.au=Mateo+Uldemolins&rft.au=Massee%2C+Freek&rft.au=Cren%2C+Tristan&rft.au=Mesaros%2C+Andrej&rft.date=2024-06-20&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422 |