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Current theories of high-temperature superconductivity in flat-band systems predict a linear dependence of the transition temperature on the attractive interaction, $T_c(U) = c|U|$. However, neither the value of $c$ nor the full nonlinear…

Superconductivity · Physics 2026-04-08 I. S. Tupitsyn , B. Currie , B. V. Svistunov , E. Kozik , N. V. Prokof'ev

The superconducting transition temperature $T_c$ of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-law) Van Hove singularities using determinant quantum Monte…

Strongly Correlated Electrons · Physics 2026-04-16 Gustav Romare , Daniel Shaffer , Alex Levchenko , Edwin Huang , Ilya Esterlis

We employ the weak-coupling renormalization group approach to study unconventional superconducting phases emerging in the extended, repulsive Hubbard model on paradigmatic two-dimensional lattices. Repulsive interactions usually lead to…

Superconductivity · Physics 2019-01-10 Sebastian Wolf , Thomas L. Schmidt , Stephan Rachel

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

Superconductivity · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We obtain a complete and exact in the weak-coupling limit ($U \rightarrow 0$) ground state phase diagram of the repulsive fermionic Hubbard model on the square lattice for filling factors $0 < n < 2$ and next-nearest-neighbour hopping…

Strongly Correlated Electrons · Physics 2016-08-10 Fedor Simkovic , Xuan-Wen Liu , Youjin Deng , Evgeny Kozik

The understanding of the mechanisms responsible for superconductivity in strongly correlated systems is an interesting and important subject in condensed matter physics. Several theoretical proposals were considered for these systems. The…

The possibility of the superconducting transition in the two-dimensional repulsive Hubbard model is studied using the ladder approximation of the strong coupling diagram technique. The $t$-$U$ and $t$-$t'$-$t''$-$U$ models are considered in…

Strongly Correlated Electrons · Physics 2021-06-04 A. Sherman

It has been proposed that the superconducting transition temperature $T_{\mathrm{c}}$ of an unconventional superconductor with a large pairing scale but strong phase fluctuations can be enhanced by coupling it to a metal. However, the…

Superconductivity · Physics 2022-12-05 Philip M. Dee , Steven Johnston , Thomas Maier

We study the phase diagram for the attractive ({\it i.e.,} negative-$U$) Hubbard model on a simple cubic lattice, through Monte Carlo simulations. We obtain the critical temperature, $T_c$, for superconductivity from a finite-size scaling…

Condensed Matter · Physics 2007-05-23 Raimundo R dos Santos

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

The attractive Hubbard model has become a model readily realizable with ultracold atoms on optical lattices. However, the superconducting (superfluid) critical temperatures, $T_c$'s, are still somewhat smaller than the lowest temperatures…

We study the basic thermodynamic and electromagnetic properties of the superconductor described by the negative-$U$ Hubbard model (gap parameter $\Delta$, critical temperature $T_c$, London penetration depth $\lambda$, thermodynamic…

Superconductivity · Physics 2016-08-31 W. R. Czart , T. Kostyrko , S. Robaszkiewicz

The suppression of the mean field temperature of the superconducting transition, $T_c$, in homogeneous amorphous wires is studied. We develop a theory that gives $T_c$ in situations when the dynamically enhanced Coulomb repulsion competes…

Superconductivity · Physics 2009-10-31 Yuval Oreg , Alexander M. Finkel'stein

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long

The superconducting instabilities of the doped repulsive 2D Hubbard model are studied in the intermediate to strong coupling regime with help of the Dynamical Cluster Approximation (DCA). To solve the effective cluster problem we employ an…

Superconductivity · Physics 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller

A platform that serves as an ideal playground for realizing ``high'' temperature superconductors are materials where the electrons' kinetic energy is completely quenched, and interactions provide the only energy scale in the problem for…

Strongly Correlated Electrons · Physics 2023-03-14 Dan Mao , Debanjan Chowdhury

It is shown, using asymptotically exact methods, that the two dimensional repulsive Hubbard model with strongly modulated interactions exhibits ``high temperature superconductivity". Specifically, the explicit modulation, which has the same…

Strongly Correlated Electrons · Physics 2009-11-10 E. Arrigoni , E. Fradkin , S. A. Kivelson

The superconducting transition temperatures of high-Tc compounds based on copper, iron, ruthenium and certain organic molecules are discovered to be dependent on bond lengths, ionic valences, and Coulomb coupling between electronic bands in…

Superconductivity · Physics 2012-07-03 Dale R. Harshman , Anthony T. Fiory

We develop a non-perturbative approach for calculating the superconducting transition temperatures ($T_{c}$) of liquids. The electron-electron scattering amplitude induced by electron-phonon coupling (EPC), from which the effective pairing…

Superconductivity · Physics 2020-03-25 Huiying Liu , Ying Yuan , Donghao Liu , Xin-Zheng Li , Junren Shi

By taking advantage of a stability criterion established recently, the critical temperature $T_c$ is reckoned with help of the microscopic parameters, characterising the normal and superconducting electrons, namely the independent-electron…

General Physics · Physics 2021-08-11 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous , Muhammad El-Saba
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