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Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found -- which have anyonic excitations. We study such systems away from commensuration, i.e. the ground state of an anyon gas…

Strongly Correlated Electrons · Physics 2013-11-13 Evelyn Tang , Xiao-Gang Wen

When the electronic dispersion in a material is independent of momentum, it gives rise to strongly correlated flat bands, with the single particle energy, quenched. Though the notion of flat bands had been known since long, their…

Strongly Correlated Electrons · Physics 2025-08-12 Madhuparna Karmakar

Two topics of high current interest in the field of unconventional superconductivity are non-centrosymmetric superconductors and multiband superconductivity. Half-Heusler superconductors such as YPtBi exemplify both. In this paper, we study…

Superconductivity · Physics 2017-09-27 C. Timm , A. P. Schnyder , D. F. Agterberg , P. M. R. Brydon

We propose a new principle to realize flatbands which are robust in real materials, based on a network superstructure of one-dimensional segments. This mechanism is naturally realized in the nearly commensurate charge-density wave of…

Strongly Correlated Electrons · Physics 2020-04-08 Jongjun M. Lee , Chenhua Geng , Jae Whan Park , Masaki Oshikawa , Sung-Sik Lee , Han Woong Yeom , Gil Young Cho

In this review, we single out selected universal features of high-$T_c$ and related systems, which can be compared with experiment. We start with the concept of real-space pairing, combined with strong correlations. The discussion of…

Strongly Correlated Electrons · Physics 2022-03-23 Józef Spałek , Maciej Fidrysiak , Michał Zegrodnik , Andrzej Biborski

We consider a model for superconductivity in a two-band superconductor, having an anisotropic electronic structure made of two partially overlapping bands with a first hole-like and a second electron-like fermi surface. In this pairing…

Superconductivity · Physics 2010-12-16 Alex A. Schmidt , Jose J. Rodríguez-Núñez , Antonio Bianconi , Andrea Perali

Flat band materials such as the kagome metals or moir\'e superlattice systems are of intense current interest. Flat bands can result from the electron motion on numerous (special) lattices and usually exhibit topological properties. Their…

Strongly Correlated Electrons · Physics 2024-05-28 Joseph G. Checkelsky , B. Andrei Bernevig , Piers Coleman , Qimiao Si , Silke Paschen

In this paper we study the effects of hybridization in the superconducting properties of a two-band system. We consider the cases that these bands are formed by electronic orbitals with angular momentum, such that, the hybridization…

Superconductivity · Physics 2017-10-03 Heron Caldas , F. S. Batista , Mucio A. Continentino , Fernanda Deus , David Nozadze

We investigate the influence of general forms of disorder on the robustness of superconductivity in multiband materials. Specifically, we consider a general two-band system where the bands arise from an orbital degree of freedom of the…

Superconductivity · Physics 2021-07-13 D. C. Cavanagh , P. M. R. Brydon

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

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

Motivated by the abundance of symmetry breaking states in magic-angle twisted bilayer graphene and other two-dimensional materials, we study superconducting (SC) and charge orders in two-dimensional topological flat bands in the strong…

Strongly Correlated Electrons · Physics 2024-09-16 Penghao Zhu , Shi Feng , Yuan-Ming Lu

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

Resonances in the superconducting properties, in a regime of crossover from BCS to mixed Bose-Fermi superconductivity, are investigated in a two-band superconductor where the chemical potential is tuned near the band edge of the second…

We demonstrate that an absolutely flat band retains the superconducting state at $T_c\to 0$. When $T_c>0$ the flat band disappears, since it must be modified by the superconducting state. Thus, a number of the results on ultra-strong…

Superconductivity · Physics 2025-12-05 V. R. Shaginyan , A. Z. Msezane , G. S. Japaridze

Different types of superfluid ground states have been investigated in systems of two species of fermions with Fermi surfaces that do not match. This study is relevant for cold atomic systems, condensed matter physics and quark matter. In…

Superconductivity · Physics 2016-09-21 Mucio A. Continentino , Igor T. Padilha

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…

The first-principles calculations and measurements of the magnetic penetration depths, the upper critical field, and the specific heat were performed for a family of Mo$_5$Si$_{3-x}$P$_x$ superconducotrs. First-principles calculations…

In this work, a two-dimensional one-band Hubbard model is investigated within a two-pole approximation. The model presents a non-local attractive potential $U (U<0)$ that allows the study of d-wave superconductivity and also includes…

Strongly Correlated Electrons · Physics 2011-01-12 E. J. Calegari , S. G. Magalhaes , C. M. Chaves , A. Troper

Flat bands play an important role in the study of strongly correlated phenomena, such as ferromagnetism, superconductivity, and fractional quantum Hall effect. Here we report direct experimental evidence for the presence of flat bands,…

Mesoscale and Nanoscale Physics · Physics 2012-09-28 Lei Feng , Xianqing Lin , Lan Meng , Jia-Cai Nie , Jun Ni , Lin He