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A critical result in superconductivity is that flat bands, though dispersionless, can still host nonzero superfluid weight due to quantum geometry. We show that the derivation of the mean field superfluid weight in previous literature is…

We propose a new route to induce flat bands with a strong superconducting instability in graphene bilayers with heteroshear, where the 1D character of the moir\'e leads to stronger correlations than in twisted bilayer graphene. We adopt an…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Jose Gonzalez , Tobias Stauber

In a flat band superconductor, bosonic excitations can disperse while unpaired electrons are immobile. To study this strongly interacting system, we construct a family of multi-band Hubbard models with exact eta-pairing ground states in all…

Strongly Correlated Electrons · Physics 2022-09-02 Jonah Herzog-Arbeitman , Aaron Chew , Kukka-Emilia Huhtinen , Päivi Törmä , B. Andrei Bernevig

Moir\'e materials have enabled the realization of flat electron bands and quantum phases that are driven by strong correlations associated with flat bands. Superconductivity has been observed, but solely, in graphene moir\'e materials. The…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Yiyu Xia , Zhongdong Han , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Recently, superconductivity was discovered at very low densities in slightly misaligned graphene multilayers. Surprisingly, despite extremely low electronic density (about $10^{-4}$ electrons per unit cell), these systems realize…

Strongly Correlated Electrons · Physics 2020-04-01 Ivar Martin

Superconductivity is traditionally viewed as a low-temperature phenomenon. Within the BCS theory this is understood to result from the fact that the pairing of electrons takes place only close to the usually two-dimensional Fermi surface…

Materials Science · Physics 2017-11-22 Tero T. Heikkila , Grigori E. Volovik

A model for high temperature superconductors based on the idea of Cooper pairs comprised of electrons from different bands is studied. We propose that the two bands relevant for the cuprates are comprised of Cu dx2-y2, dz2, planar O psigma,…

Superconductivity · Physics 2009-10-30 Jamil Tahir-Kheli

High-temperature superconductivity emerges in a host of different quantum materials, often in a region of the phase diagram where the electronic kinetic energy is comparable in magnitude with the electron-electron Coulomb repulsion.…

Strongly Correlated Electrons · Physics 2020-12-14 Morten H. Christensen , Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

We study conditions for the emergence of the preformed Cooper pairs in materials hosting flat bands. As a particular example, we consider a semimetal, with a pair of three-band crossing points at which a flat band intersects with a Dirac…

Superconductivity · Physics 2022-09-23 Alexander A. Zyuzin , A. Yu. Zyuzin

The criteria for bosonization of Cooper pairs and novel Bose-liquid superconductivity and superfluidity in high-$T_c$ cuprates and other pseudogap matters are formulated by using the uncertainty principle and the boson mean field theory. We…

Superconductivity · Physics 2017-10-03 S. Dzhumanov

In multi-band metals quasi-particles arising from different atomic orbitals coexist at a common Fermi surface. Superconductivity in these materials may appear due to interactions within a band (intra-band) or among the distinct metallic…

Strongly Correlated Electrons · Physics 2015-05-19 Aline Ramires , Mucio A. Continentino

We study a two-dimensional model of an isolated narrow topological band at partial filling with local attractive interactions. Numerically exact quantum Monte Carlo calculations show that the ground state is a superconductor with a critical…

Strongly Correlated Electrons · Physics 2020-11-18 Johannes S. Hofmann , Erez Berg , Debanjan Chowdhury

Superconducting electron systems of solids hosting flat bands are studied, with a view to improved understanding of the fundamental physics giving rise to high-temperature superconductivity. We present a modified form of the set of Gor'kov…

Strongly Correlated Electrons · Physics 2017-02-03 V. A. Khodel , J. W. Clark , M. V. Zverev

A new approach based on macro-orbital representation of a conduction electron in a solid has been used to discover some untouched aspects of the phonon induced attraction between two electrons and to lay the basic foundations of a general…

Superconductivity · Physics 2007-05-23 Yatendra S. Jain

A consistent microscopic theory of pseudogap phenomena and novel Bose-liquid superconductivity (superfluidity) is presented, based on the fact that in high-$T_c$ cuprates and related systems the energy $\varepsilon_A$ of the effective…

Superconductivity · Physics 2020-01-22 S. Dzhumanov

The discovery of superconductivity in twisted bilayer and twisted trilayer graphene has generated tremendous interest. The key feature of these systems is an interplay between interlayer coupling and a moir\'e superlattice that gives rise…

We investigate superconducting transport in the DC field induced Wannier-Stark flat bands in the presence of interactions. Flat bands offer the possibility of unconventional high temperature superconductivity, where the superfluid weight,…

Superconductivity · Physics 2024-02-28 Si Min Chan , Alexei Andreanov , Sergej Flach , G. George Batrouni

Using the variational Monte-Carlo method we find that a relatively weak long-range electron-phonon interaction induces a d-wave superconducting state of doped Mott-Hubbard insulators and/or strongly-correlated metals with a condensation…

Superconductivity · Physics 2009-07-21 T. M. Hardy , J. P. Hague , J. H. Samson , A. S. Alexandrov

The nature of superconductivity in monolayer transition metal dichalcogenides is still an object of debate. It has already been argued that repulsive Coulomb interactions, combined with the disjoint Fermi surfaces around the $K$, $K'$…

Superconductivity · Physics 2022-06-15 Sebastian Hörhold , Juliane Graf , Magdalena Marganska , Milena Grifoni
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