Weyl and Dirac semimetals in three-dimensional solids

NP Armitage, EJ Mele, A Vishwanath - Reviews of Modern Physics, 2018 - APS
Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

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 …

Magnetic and noncentrosymmetric Weyl fermion semimetals in the family of compounds ()

G Chang, B Singh, SY Xu, G Bian, SM Huang, CH Hsu… - Physical Review B, 2018 - APS
Weyl semimetals are novel topological conductors that host Weyl fermions as emergent
quasiparticles. In this Rapid Communication, we propose a new type of Weyl semimetal …

Rare-region-induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals

JH Pixley, DA Huse, S Das Sarma - Physical Review X, 2016 - APS
We numerically study the effect of short-ranged potential disorder on massless
noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of …

Four-dimensional topological Anderson insulator with an emergent second Chern number

R Chen, XX Yi, B Zhou - Physical Review B, 2023 - APS
Four-dimensional (4D) topological insulators, which are impossible in real materials, have
attracted much attention by virtue of the recent progress achieved in quantum simulations of …

Dirty Weyl semimetals: Stability, phase transition, and quantum criticality

S Bera, JD Sau, B Roy - Physical Review B, 2016 - APS
We study the stability of three-dimensional incompressible Weyl semimetals in the presence
of random quenched charge impurities. Combining numerical analysis and scaling theory …

Parton construction of a wave function in the anti-Pfaffian phase

AC Balram, M Barkeshli, MS Rudner - Physical Review B, 2018 - APS
In this work we propose a parton state as a candidate state to describe the fractional
quantum Hall effect in the half-filled second Landau level. The wave function for this parton …

Photogalvanic effect in Weyl semimetals

EJ König, HY **e, DA Pesin, A Levchenko - Physical Review B, 2017 - APS
We theoretically study the impact of impurities on the photogalvanic effect (PGE) in Weyl
semimetals with weakly tilted Weyl cones. Our calculations are based on a two-nodes model …

Global phase diagram of a dirty Weyl liquid and emergent superuniversality

B Roy, RJ Slager, V Juričić - Physical Review X, 2018 - APS
Pursuing complementary field-theoretic and numerical methods, we here paint the global
phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion …

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 …