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We study the interplay between on-site disorder and fermion pairing on the quasi one-dimensional flat band Creutz lattice. Both disorder and flat bands localize particles, but an attractive interaction results in pair formation and…

Superconductivity · Physics 2025-06-16 Si Min Chan , Benoît Grémaud , G. George Batrouni

Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases. In two dimensions, the superfluid weight, which determines the critical temperature through the Berezinksii-Kosterlitz-Thouless…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Jonah Herzog-Arbeitman , Valerio Peri , Frank Schindler , Sebastian D. Huber , B. Andrei Bernevig

The ground state and transport properties of the Lieb lattice flat band in the presence of an attractive Hubbard interaction are considered. It is shown that the superfluid weight can be large even for an isolated and strictly flat band.…

Quantum Gases · Physics 2016-07-27 Aleksi Julku , Sebastiano Peotta , Tuomas Vanhala , Dong-Hee Kim , Päivi Törmä

We study the peculiarities of coherency in the superconductivity of two-orbital system. The superconducting phase transition is caused here by the on-site intra-orbital attractions (negative-U Hubbard model) and inter-orbital pair-transfer…

Superconductivity · Physics 2023-07-19 G. Litak , T. Ord , K. Rago , A. Vargunin

Fully occupied or unoccupied bands in a solid are often considered inert and irrelevant to a material's low-energy properties. But the discovery of enhanced superconductivity in heavily electron-doped FeSe-derived superconductors poses…

Strongly Correlated Electrons · Physics 2021-07-30 Seher Karakuzu , Steven Johnston , Thomas A. Maier

The Mielke checkerboard is known to be one of the simplest two-band lattice models exhibiting an energetically flat band that is in touch with a quadratically dispersive band in the reciprocal space, i.e., its flat band is not isolated.…

Quantum Gases · Physics 2019-06-10 M. Iskin

We investigate aspects of the relation between the quantum geometry of the normal state (NS) and the superconducting phase, through the lens of non-locality. By relating band theory to quantum estimation theory, we derive a direct…

Superconductivity · Physics 2025-09-11 Florian Simon

Recent experimental progress in the fields of cold quantum gases and ultrafast optical spectroscopy of quantum materials allows to controllably induce and probe non-adiabatic dynamics of superconductors and superfluids. The time-evolution…

Superconductivity · Physics 2019-11-27 Tianbai Cui , Michael Schütt , Peter P. Orth , Rafael M. Fernandes

Hubbard ladders are an important stepping stone to the physics of the two-dimensional Hubbard model. While many of their properties are accessible to numerical and analytical techniques, the question of whether weakly hole-doped Hubbard…

Strongly Correlated Electrons · Physics 2015-11-23 Michele Dolfi , Bela Bauer , Sebastian Keller , Matthias Troyer

The two-orbital superconducting state is modeled by on-site intra-orbital negative-U Hubbard correlations together with inter-orbital pair-transfer interactions. The critical temperature is mainly governed by intra-orbital attractive…

Superconductivity · Physics 2015-06-05 Grzegorz Litak , Teet Örd , Küllike Rägo , Artjom Vargunin

We study the influence of the band structure on the symmetry and superconducting transition temperature in the (solvable) weak-coupling limit of the repulsive Hubbard model. Among other results we find: 1) As a function of increasing…

Superconductivity · Physics 2015-11-11 Weejee Cho , Ronny Thomale , Srinivas Raghu , Steven A. Kivelson

The density functional theory calculations and tight-binding models for the copper-doped lead apatite support flat bands, which could be susceptible to the emergence of high-temperature superconductivity. We develop theory for the geometric…

Superconductivity · Physics 2023-08-28 Wojciech Brzezicki , Timo Hyart

The two-dimensional Hubbard model exhibits superconductivity with d-wave symmetry even at half-filling in the presence of next-nearest neighbor hopping. Using plaquette cluster dynamical mean-field theory with a continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-09-27 Michael Sentef , Philipp Werner , Emanuel Gull , Arno P. Kampf

Coulomb repulsion can, counterintuitively, mediate Cooper pairing via the Kohn-Luttinger mechanism. However, it is commonly believed that observability of the effect requires special circumstances -- e.g., vicinity of the Fermi level to van…

Superconductivity · Physics 2025-05-01 Gal Shavit , Jason Alicea

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

To explore whether a flat-band system can accommodate superconductivity, we consider repulsively interacting fermions on the diamond chain, a simplest quasi-one-dimensional system that contains a flat band. Exact diagonalization and the…

Superconductivity · Physics 2017-01-03 Keita Kobayashi , Masahiko Okumura , Susumu Yamada , Masahiko Machida , Hideo Aoki

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

We construct quasi one-dimensional topological and non-topological three-band lattices with tunable band gap and winding number of the flat band. Using mean field (MF) and exact density matrix renormalization group (DMRG) calculations, we…

Superconductivity · Physics 2022-10-11 Si Min Chan , B. Grémaud , G. G. Batrouni

Superfluidity and superconductivity are genuine many-body manifestations of quantum coherence. For finite-size systems the associated pairing gap fluctuates as a function of size or shape. We provide a parameter free theoretical description…

Superconductivity · Physics 2011-11-09 H. Olofsson , S. Åberg , P. Leboeuf