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 …

High-dimensional disorder-driven phenomena in Weyl semimetals, semiconductors, and related systems

SV Syzranov, L Radzihovsky - Annual Review of Condensed …, 2018 - annualreviews.org
It is commonly believed that a noninteracting disordered electronic system can undergo only
the Anderson metal-insulator transition. It has been suggested, however, that a broad class …

Topological diffusive metal in amorphous transition metal monosilicides

S Franca, AG Grushin - Physical Review Materials, 2024 - APS
In chiral crystals crystalline symmetries can protect multifold fermions, pseudorelativistic
masless quasiparticles that have no high-energy counterparts. Their realization in transition …

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 …

Breakdown of universality in three-dimensional Dirac semimetals with random impurities

JPS Pires, B Amorim, A Ferreira, İ Adagideli… - Physical Review …, 2021 - APS
Dirac-Weyl semimetals are unique three-dimensional (3D) phases of matter with gapless
electrons and novel electrodynamic properties believed to be robust against weak …

Tilted disordered Weyl semimetals

M Trescher, B Sbierski, PW Brouwer, EJ Bergholtz - Physical Review B, 2017 - APS
Although Lorentz invariance forbids the presence of a term that tilts the energy-momentum
relation in the Weyl Hamiltonian, a tilted dispersion is not forbidden and, in fact, generic for …

Absence of localization in Weyl semimetals

J Yi, AA Burkov - Physical Review B, 2024 - APS
One of the fundamental facts of condensed matter physics is that sufficient amount of
disorder always turns a Fermi-liquid metal into an Anderson insulator: a compressible but …

Quantum phases of disordered three-dimensional Majorana-Weyl fermions

JH Wilson, JH Pixley, P Goswami, S Das Sarma - Physical Review B, 2017 - APS
The gapless Bogoliubov-de Gennes (BdG) quasiparticles of a clean three-dimensional
spinless px+ ipy superconductor provide an intriguing example of a thermal Hall semimetal …

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 …

Strong disorder in nodal semimetals: Schwinger-Dyson–Ward approach

B Sbierski, C Fräßdorf - Physical Review B, 2019 - APS
The self-consistent Born approximation quantitatively fails to capture disorder effects in
semimetals. We present an alternative, simple-to-use nonperturbative approach to calculate …