Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors

JH Pixley, JH Wilson - Annals of Physics, 2021 - Elsevier
Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention
and competing theories in recent years. In this brief review, we discuss the current …

Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition

B Sbierski, EJ Dresselhaus, JE Moore, IA Gruzberg - Physical review letters, 2021 - APS
Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter
physics, describing low-energy excitations in graphene, in certain classes of …

From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation

J Klier, IV Gornyi, AD Mirlin - Physical Review B, 2019 - APS
We analyze theoretically the conductivity of Weyl semimetals within the self-consistent Born
approximation (SCBA) in the full range of disorder strength, from weak to strong disorder. In …

Direct topological insulator transitions in three dimensions are destabilized by nonperturbative effects of disorder

Y Fu, JH Wilson, DA Huse, JH Pixley - Physical Review B, 2024 - APS
We reconsider the phase diagram of a three-dimensional Z 2 topological insulator in the
presence of short-ranged potential disorder, with the insight that nonperturbative rare states …

Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone

JH Wilson, DA Huse, S Das Sarma, JH Pixley - Physical Review B, 2020 - APS
Existing theoretical works differ on whether three-dimensional Dirac and Weyl semimetals
are stable to a short-range-correlated random potential. Numerical evidence suggests the …

Elastic scattering time of matter waves in disordered potentials

J Richard, LK Lim, V Denechaud, VV Volchkov… - Physical Review Letters, 2019 - APS
We report on an extensive study of the elastic scattering time τ s of matter waves in optical
disordered potentials. Using direct experimental measurements, numerical simulations, and …

Surface quantum critical phenomena in disordered Dirac semimetals

E Brillaux, AA Fedorenko, IA Gruzberg - Physical Review B, 2024 - APS
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 …

Multifractality at the Weyl-semimetal–diffusive-metal transition for generic disorder

E Brillaux, D Carpentier, AA Fedorenko - Physical Review B, 2019 - APS
A Weyl semimetal is a three-dimensional topological gapless phase. In the presence of
strong enough disorder it undergoes a quantum transition towards a diffusive metal phase …

Effects of different 3D QED vertex Ansätze on the critical coupling

ME Carrington, AR Frey, BA Meggison - Physical Review D, 2023 - APS
We study the semimetal-insulator phase transition in graphene using a Schwinger-Dyson
approach. We consider various forms of vertex Ansätze to truncate the hierarchy of …

Fermi arcs and surface criticality in dirty Dirac materials

E Brillaux, AA Fedorenko - Physical Review B, 2021 - APS
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 …