Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
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 …
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
Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter
physics, describing low-energy excitations in graphene, in certain classes of …
physics, describing low-energy excitations in graphene, in certain classes of …
From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
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 …
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
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 …
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
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 …
are stable to a short-range-correlated random potential. Numerical evidence suggests the …
Elastic scattering time of matter waves in disordered potentials
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 …
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 …
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 …
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 …
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 …
presence of a boundary leads to the formation of either Fermi arcs/rays or Dirac surface …