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Related papers: Superconductivity of disordered Dirac fermions

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We present evidence that two dimensional Dirac fermions in the presence of random Abelian gauge potential exhibit a phase transition when the disorder strength exceeds a certain critical value. We argue that this phase transition has novel…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Gurarie

Dirac semimetals, with their protected Dirac points, present an ideal platform for realizing intrinsic topological superconductivity. In this work, we investigate superconductivity in a two-dimensional, square-lattice nonsymmorphic Dirac…

Superconductivity · Physics 2025-12-03 Xiao-Jiao Wang , Yijie Mo , Zhi Wang , Zhigang Wu , Zhongbo Yan

We systematically investigate the intricate interplay between short-range fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. Employing the renormalization…

Superconductivity · Physics 2024-07-17 Wen-Hao Bian , Jing Wang

We study the effects of disorder on semi-infinite Weyl and Dirac semimetals where the presence of a boundary leads to the formation of either Fermi arcs/rays or Dirac surface states. Using a local version of the self-consistent Born…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Eric Brillaux , Andrei A. Fedorenko

We present a renormalization group analysis of the disorder effects on the low-energy behaviors of twodimensional tilted Dirac-fermion systems, in which the fermions have two distinct orbitals unrelated by any symmetry. Four types of…

Disordered Systems and Neural Networks · Physics 2018-08-31 Peng-Lu Zhao , An-Min Wang , Guo-Zhu Liu

The experimental observation of superconductivity in doped semimetals and semiconductors, where the Fermi energy is comparable to or smaller than the characteristic phonon frequencies, is not captured by the conventional theory. In this…

Superconductivity · Physics 2019-09-16 Vladyslav Kozii , Zhen Bi , Jonathan Ruhman

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

Superconductivity · Physics 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

We show that Dirac fermion systems in two dimensions generally exhibit disorder-induced nodal arc replacing the nodal point and tilted Dirac cone, provided that the two components of the Dirac fermion correspond to two distinct orbitals…

Disordered Systems and Neural Networks · Physics 2019-05-22 Michał Papaj , Hiroki Isobe , Liang Fu

We investigate the effects of disorder on a layered superconductor. The clean system is known to have a first order phase transition which is clearly identified by a sharp peak in the specific heat. The peak is lost abruptly as the strength…

Superconductivity · Physics 2009-10-30 N. K. Wilkin , Henrik Jeldtoft Jensen

Disordered noninteracting quasiparticles that are governed by a Majorana-type Hamiltonian -- prominent examples are dirty superconductors with broken time-reversal and spin-rotation symmetry, or the fermionic representation of the 2d Ising…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Bocquet , D. Serban , M. R. Zirnbauer

We investigate Dirac fermions in the antifferomagnetic metallic state of iron-based superconduc- tors. Deriving an effective Hamiltonian for Dirac fermions, we reveal that there exist two Dirac cones carrying the same chirality, contrary to…

Superconductivity · Physics 2010-07-19 Takao Morinari , Eiji Kaneshita , Takami Tohyama

Understanding the correlation effects in unconventional topological materials, in which the fermion excitations take unusual dispersion, is an important topic in recent condensed matter physics. We study the influence of short-range…

Strongly Correlated Electrons · Physics 2024-10-01 Jing-Rong Wang , Wei Li , Chang-Jin Zhang

The superconducting proximity effect on two-dimensional massless Dirac electrons is usually analyzed using a simple model consisting of the Dirac Hamiltonian and an energy-independent pair potential. Although this conventional model is…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yositake Takane , Ryo Ando

Two-dimensional (2D) massless Dirac electrons appear on a surface of three-dimensional topological insulators. The conductivity of such a 2D Dirac electron system is studied for strong topological insulators in the case of the Fermi level…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Yositake Takane

Possible superconductivity of electrons with the Dirac spectrum is analyzed using the BCS model. We calculate the critical temperature, the superconducting energy gap, and supercurrent as functions of the doping level and of the pairing…

Superconductivity · Physics 2019-10-04 N. B. Kopnin , E. B. Sonin

Four-component massive and massless Dirac fermions in the presence of long range Coulomb interaction and chemical potential disorder exhibit striking fermionic quantum criticality. For an odd number of flavors of Dirac fermions, the sign of…

Disordered Systems and Neural Networks · Physics 2015-03-17 Pallab Goswami , Sudip Chakravarty

We consider the effect of weak nonmagnetic disorder on two chains of interacting fermions (with and without spins) coupled by interchain hopping. For the spinless case, interchain hopping increases localization for repulsive interactions…

Condensed Matter · Physics 2009-10-28 E. Orignac , T. Giamarchi

We study the effects of an external magnetic field on thensuperconducting phase diagram of a quasi-two-dimensional system of Dirac electrons at an arbitrary temperature. At zero temperature, there is a quantum phase transition connecting a…

Superconductivity · Physics 2020-10-14 E. C. Marino , Lizardo H. C. M. Nunes

We study the effects of a finite density of negative-$U$ centers (NUCs) on the surface of a three-dimensional topological insulator. The surface Dirac fermions mediate a power-law interaction among the local Cooper pairs at the NUCs, and…

Strongly Correlated Electrons · Physics 2014-09-26 Jian-Huang She , Alexander V. Balatsky

We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac semimetal with a flat boundary. The conformally invariant boundary conditions, which include those that are time-reversal invariant, lead to…

Disordered Systems and Neural Networks · Physics 2024-05-09 Eric Brillaux , Andrei A. Fedorenko , Ilya A. Gruzberg