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An overview is given on how superconductivity with anisotropic pairing can be realised from repulsive electron-electron interaction. (i) We start from the physics in one dimension, where the Tomonaga-Luttinger theory predicts that, while…

Strongly Correlated Electrons · Physics 2015-06-24 Hideo Aoki

The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and superconduct. We review recent and not so recent works aiming to…

Superconductivity · Physics 2015-06-16 Saurabh Maiti , Andrey V. Chubukov

We introduce a new and general mechanism for superconductivity in Fermi systems with strong repulsive interaction. Because kinetic terms are small compared to the bare repulsion, the dynamic of charge carriers is constrained by the the…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Liang Fu

Motivated by a scarcity of simple and analytically tractable models of superconductivity from strong repulsive interactions, we introduce a simple tight-binding lattice model of fermions with repulsive interactions that exhibits…

Superconductivity · Physics 2019-02-12 Kevin Slagle , Yong Baek Kim

We explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices can exhibit staggered $d$-wave and $f$-wave pairing, respectively, at low…

Superconductivity · Physics 2024-04-12 Yuchi He , Kang Yang , Jonas B. Profe , Emil J. Bergholtz , Dante M. Kennes

A simple tight binding model with repulsive interactions is studied. The inclusion of more than one orbital per site leads to assisted hopping effects, and, when the orbitals involved have different symmetries, to an anisotropic…

Superconductivity · Physics 2007-05-23 F. Guinea

Fermion systems with flat bands can boost superconductivity by enhancing the density of states at the Fermi level. We use quasiexact numerical methods to show that repulsive interactions between spinless fermions in a one-dimensional (1D)…

Strongly Correlated Electrons · Physics 2022-10-12 Iman Mahyaeh , Thomas Köhler , Annica M. Black-Schaffer , Adrian Kantian

The Kohn-Luttinger mechanism for unconventional superconductivity (SC) driven by weak repulsive electron-electron interactions on a periodic lattice is generalized to the quasicrystal (QC) via a real-space perturbative approach. The…

Strongly Correlated Electrons · Physics 2020-07-08 Ye Cao , Yongyou Zhang , Yu-Bo Liu , Cheng-Cheng Liu , Wei-Qiang Chen , Fan Yang

Under the assumption that the superconducting state belongs to a single irreducible representation of lattice symmetry, we argue that the pairing symmetry in all measured iron-based superconductors is universally consistent with the A_{1g}…

Superconductivity · Physics 2016-05-10 Jiangping Hu , Jing Yuan

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

We consider fermions on a 2D lattice interacting repulsively on the same site and attractively on the nearest neighbor sites. The model is relevant, for instance, to study the competition between antiferromagnetism and superconductivity in…

Superconductivity · Physics 2009-11-07 F. Pistolesi , Ph. Nozieres

We analyze the pairing instabilities for fermions on hexagonal lattices (both honeycomb and triangular ones) in a wide range of fermionic densities. We argue that for a generic doping in this range, superconductivity at weak coupling is of…

Superconductivity · Physics 2014-04-29 Rahul Nandkishore , Ronny Thomale , Andrey V. Chubukov

A key question in the theory of high-temperature superconductivity is whether Off-diagonal Long-Range Order (ODLRO) can be induced wholly or in large part by repulsive electronic correlations. Electron pairs on Cuprate and the iron-based…

Superconductivity · Physics 2013-03-19 Lawrence J. Dunne , Erkki J. Brändas

In this paper we study a model of s-wave marginal Fermi liquid superconductor at two dimensions. Besides the usual Bardeen-Cooper-Schrieffer(BCS) point attractive interaction, the fermions in our system also interact {\em via} a long range…

Superconductivity · Physics 2007-05-23 Y. L. Liu , T. K. Ng

Bulk superconductivity (SC) has recently been observed in the Al-Zn-Mg quasicrystal (QC). To settle several fundamental issues of the SC on the QC, we use an attractive Hubbard model to perform a systematic study on the Penrose lattice. The…

Superconductivity · Physics 2022-08-01 Yu-Bo Liu , Juan-Juan Hao , Yongyou Zhang , Ye Cao , Wei-Qiang Chen , Fan Yang

We analyze superconducting instabilities in 3D and 2D extended Hubbard model with Coulomb repulsion between electrons on neighboring sites in the limit of low electron density ($n_{el} \rightarrow 0$) on simple cubic (square) lattice. We…

Superconductivity · Physics 2015-05-28 M. Yu. Kagan , D. V. Efremov , M. S. Marienko , V. V. Val'kov

In order to study whether the inter-band nesting can favor superconductivity arising from electron-electron repulsion in a three-dimensional system, we have looked at the repulsive Hubbard model on a stack of honeycomb (i.e., non-Bravais)…

Superconductivity · Physics 2009-11-07 Seiichiro Onari , Kazuhiko Kuroki , Ryotaro Arita , Hideo Aoki

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

We predict that the spin-polarized electrons in a two-dimensional triangular lattice with strong electron-electron repulsion gives rise to f-wave pairing. The key point is that the first-order interaction, which is usually pair-breaking,…

Superconductivity · Physics 2026-01-30 Zhiyu Dong , Patrick A. Lee

We discuss superconducting pairing in a narrow conduction band sandwiched between unoccupied and occupied bands, an arrangement that enables an unconventional pairing mechanism governed by Coulomb repulsion. Pairing interaction originates…

Superconductivity · Physics 2021-03-30 Zhiyu Dong , Leonid Levitov
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