Classes of holographic Mott gaps

• Published in: The journal of high energy physics Vol. 2024; no. 10; pp. 62 - 19
• Main Authors: Ghorai, Debabrata, Yuk, Taewon, Han, Young-Kwon, Sin, Sang-Jin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 08.10.2024; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Asymmetry; Black holes; Broken symmetry; Classical and Quantum Gravitation; Condensed matter physics; Elementary Particles; Fermi surfaces; Fermions; Gauge-Gravity Correspondence; Gravity; Holography; Holography and Condensed Matter Physics (AdS/CMT); Order parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Symmetry; Valence band; AdS-CFT Correspondence; Gauge-Gravity Correspondence; Holography and Condensed Matter Physics (AdS/CMT)
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2024)062

A bstract The fermion gaps are classified into order gap or Mott gap depending on the presence/absence of the order parameter. We construct the holographic model of the Mott gap using the field that is supported by the density only without introducing any order parameter. We then classify the Mott gap, depending on the shape of the gap in the density of states and whether the Fermi surface is touching the valence bond or not, into three classes: i) Symmetric gap, ii) Asymmetric gap with isolated Fermi sea. iii) Asymmetric gap with Fermi sea touching the valence band. Finally, we identify possible non-minimal gauge interactions that produce a flatband without symmetry breaking.