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We show that interacting electrons in a flat Chern band can form, in addition to fractional Chern insulators, a chiral $f$-wave topological superconductor that hosts neutral Majorana fermion edge modes. Superconductivity emerges from an…

Superconductivity · Physics 2025-10-23 Daniele Guerci , Ahmed Abouelkomsan , Liang Fu

Three band crossings can arise in three dimensional quantum materials with certain space group symmetries. The low energy Hamiltonian supports spin $\textit{one}$ fermions and a flat band. We study the pairing problem in this setting. We…

Strongly Correlated Electrons · Physics 2018-05-02 Yu-Ping Lin , Rahul M. Nandkishore

We show that the topologically protected flat band emerging on a surface of a nodal fermionic system promotes the surface superconductivity due to an infinitely large density of states associated with the flat band. The critical temperature…

Superconductivity · Physics 2015-05-27 N. B. Kopnin , T. T. Heikkilä , G. E. Volovik

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

We show that Majorana fermions associated with Majorana flat bands emerge as zero energy modes on the [110] edge of single layer or multilayer nodal superconductors with $d_{x^2-y^2}$-wave pairing and Rashba spin-orbit coupling. Moreover,…

Superconductivity · Physics 2014-05-29 Noah F. Q. Yuan , Chris L. M. Wong , K. T. Law

We study surface zero-energy flat bands in three-dimensional chiral superconductors with $p_z (p_x +ip_y)^{\nu}$-wave pairing symmetry ($\nu$ is a nonzero integer), based on topological numbers and tunneling conductance. It is shown that…

Superconductivity · Physics 2015-12-31 Shingo Kobayashi , Yukio Tanaka , Masatoshi Sato

Flat-band Majorana bound states of nodal $p$-wave superconductors give rise to striking electromagnetic anomalies, reflecting their high degree of degeneracy at the Fermi level. However, experimental investigations of these states have been…

Superconductivity · Physics 2025-02-17 Yutaro Nagae , Leo Katayama , Satoshi Ikegaya

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

Superconductivity · Physics 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon

Chiral topological semimetals host multifold degenerate band crossing points under the protection of crystalline symmetries. In this paper, we suggest that the recently discovered chiral topological semimetals in space group 198, parts of…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Yingyi Huang , Shao-Kai Jian

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

Topological media are systems whose properties are protected by topology and thus are robust to deformations of the system. In topological insulators and superconductors the bulk-surface and bulk-vortex correspondence gives rise to the…

Strongly Correlated Electrons · Physics 2015-09-28 G. E. Volovik

We consider Majorana fermions tunneling among an array of vortices in a 2D chiral p-wave superconductor or equivalent material. The amplitude for Majorana fermions to tunnel between a pair of vortices is found to necessarily depend on the…

Superconductivity · Physics 2013-11-25 Rudro R. Biswas

Through a systematic symmetry and topology analysis we establish that three-dimensional chiral superconductors with strong spin-orbit coupling and odd-parity pairing generically host low-energy nodal quasiparticles that are…

Superconductivity · Physics 2017-02-07 Vladyslav Kozii , Jörn W. F. Venderbos , Liang Fu

We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized eigenstates for finite range hopping. For a bipartite…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Ajith Ramachandran , Alexei Andreanov , Sergej Flach

Superconducting altermagnets have proven to be a promising ground for emergent phenomena, but their study has involved two-dimensional systems. In this work, we investigate three-dimensional $d$- and $g$-wave altermagnets with spin-singlet…

Superconductivity · Physics 2026-04-22 Yuri Fukaya , Bo Lu , Keiji Yada , Yukio Tanaka , Jorge Cayao

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

We report the emergence of Majorana flat bands (MFBs) in the vortex line of superconducting (SC) time-reversal-symmetry-breaking Weyl semimetals. By considering a Weyl semimetal as a stack of Chern insulators with varying Chern numbers…

Superconductivity · Physics 2026-03-05 Zhicheng Zhang , Kou-Han Ma

We show that a chiral $f+if$-wave superconducting pairing may be induced in the lowest heavy hole band of a hole-doped semiconductor thin film through proximity contact with an \textit{s}-wave superconductor. The chirality of the pairing…

Superconductivity · Physics 2015-03-17 Li Mao , Junren Shi , Qian Niu , Chuanwei Zhang

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

We theoretically investigate the quantum transport properties of three-dimensional spin-1 chiral fermion systems with a curved trivial band. In the multiband system with two distinct characters--a linear Dirac band and a quadratic trivial…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 Risako Kikuchi , Ai Yamakage
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