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The past few years have seen a revived interest in quantum geometrical characterizations of band structures due to the rapid development of topological insulators and semi-metals. Although the metric tensor has been connected to many…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Adrien Bouhon , Abigail Timmel , Robert-Jan Slager

We present a systematic investigation of superconductivity in a topological superconductor candidate $T_{\rm d}$-MoTe$_2$ in the few-layer limit. By examining multiple mechanically exfoliated samples with different thicknesses, substrates…

Motivated by the recent experimental realizations of hyperbolic lattices in circuit quantum electrodynamics and in classical electric-circuit networks, we study flat bands and band-touching phenomena in such lattices. We analyze…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Tomáš Bzdušek , Joseph Maciejko

Recent experiments show how a bilayer graphene twisted around a certain magic angle becomes superconducting as it is doped into a region with approximate flat bands. We investigate the mean-field $s$-wave superconducting state in such a…

Superconductivity · Physics 2018-12-19 T. J. Peltonen , R. Ojajärvi , T. T. Heikkilä

Flatbands play an important role in correlated quantum matter and have novel applications in photonic lattices. Synthetic magnetic fields and destructive interference in lattices are traditionally used to obtain flatbands. However, such…

Recently it has been demonstrated that the pair-exchange coupling of quasi-one-dimensional (Q1D) bands with conventional higher-dimensional bands in one multiband superconducting material can result in the formation of robust aggregate pair…

Superconductivity · Physics 2022-07-26 T. T. Saraiva , L. I. Baturina , A. A. Shanenko

We present general design principles for engineering and discovering periodic systems with flat bands. Our paradigm exploits spin-orbit assisted orbital frustration on a lattice to produce band structures that contain multiplets of narrowly…

Strongly Correlated Electrons · Physics 2023-03-02 Zachariah Addison , Nandini Trivedi

Flat bands have attracted considerable interest in condensed matter physics because they provide a fertile platform for realizing strongly correlated and topological quantum phases. To date, however, most studies have focused on flat bands…

Superconductivity · Physics 2026-03-31 Keiji Yada , Yuri Fukaya , Yukio Tanaka

Understanding the material parameters that control the superconducting transition temperature $T_c$ is a problem of fundamental importance. In many novel superconductors, phase fluctuations determine $T_c$, rather than the collapse of the…

Superconductivity · Physics 2019-09-23 Tamaghna Hazra , Nishchhal Verma , Mohit Randeria

Plaquette lattices with each unit cell containing multiple atoms are good candidates for disconnected Fermi surfaces, which are shown by Kuroki and Arita to be favorable for spin-flucutation mediated superconductivity from electron…

Superconductivity · Physics 2009-11-07 Takashi Kimura , Yuji Zenitani , Kazuhiko Kuroki , Ryotaro Arita , Hideo Aoki

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

In flat bands, superconductivity can lead to surprising transport effects. The superfluid "mobility", in the form of the superfluid weight $D_s$, does not draw from the curvature of the band but has a purely band-geometric origin. In a…

Superconductivity · Physics 2021-01-20 Valerio Peri , Zhida Song , B. Andrei Bernevig , Sebastian D. Huber

We calculate the infrared conductivity of a stack of coupled, two-dimensional superconducting planes within the Fermi liquid theory of superconductivity. We include the effects of random scattering processes and show that the presence of…

Condensed Matter · Physics 2009-10-28 M. J. Graf , Mario Palumbo , D. Rainer , J. A. Sauls

High-$T_c$ superconductors have Fermi energies $E_F$ much smaller than conventional metals comparable to phonon frequencies. In such a situation nonadiabatic effects are important. A generalization of Eliashberg theory in the nonadiabatic…

Superconductivity · Physics 2009-10-31 P. Paci , C. Grimaldi , L. Pietronero , E. Cappelluti

When the Fermi level is near the top of a band the carriers (holes) are maximally dressed by electron-ion and electron-electron interactions. The theory of hole superconductivity predicts that only in that case can superconductivity occur,…

Superconductivity · Physics 2009-11-10 J. E. Hirsch

Magnetic response is a fundamental property of superconducting materials, which helps to distinguish two superconductivity types: the ideally diamagnetic type I and type II, which can develop the mixed state with Abrikosov vortices. We…

Superconductivity · Physics 2016-04-05 S. Wolf , A. Vagov , A. A. Shanenko , V. M. Axt , J. A. Aguiar

The superconducting metal-organic framework Cu-BHT forms a kagome lattice with metals at the vertices and ligands along the bonds. This bipartite motif is common in reticular materials. We show that a tight-binding model on this lattice…

Superconductivity · Physics 2024-12-19 M. F. Ohlrich , E. M. Makaresz , H. L. Nourse , B. J. Powell

We discuss the dispersionless spectrum with zero energy in the linear topological defects - vortices. The flat band emerges inside the vortex living in the bulk medium containing topologically stable Fermi points in momentum space. The…

Strongly Correlated Electrons · Physics 2011-06-24 G. E. Volovik

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

Strongly Correlated Electrons · Physics 2013-09-10 Emil J. Bergholtz , Zhao Liu

The newly discovered iron-based superconductors have attracted lots of interests, and the corresponding theoretical studies suggest that the system should have six bands. In this paper, we study the multiband effects on the conductivity…

Strongly Correlated Electrons · Physics 2009-11-13 Shi-Jian Gu , Junpeng Cao , Shu Chen , Hai-Qing Lin