pith. sign in

arxiv: 1705.01111 · v3 · pith:TBIM2PTNnew · submitted 2017-05-02 · ❄️ cond-mat.str-el

Weyl and Dirac Semimetals in Three Dimensional Solids

classification ❄️ cond-mat.str-el
keywords dimensionalthreediracelectronicmatterphasesprotectedrecent
0
0 comments X
read the original abstract

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 graphene, they have generated much recent interest. Deep connections exist with particle physics models of relativistic chiral fermions, and -- despite their gaplessness -- to solid-state topological and Chern insulators. Their characteristic electronic properties lead to protected surface states and novel responses to applied electric and magnetic fields. Here we review the theoretical foundations of these phases, their proposed realizations in solid state systems, recent experiments on candidate materials, as well as their relation to other states of matter.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators

    hep-th 2026-04 unverdicted novelty 7.0

    The index of non-Hermitian Dirac operators that anticommute with a chirality operator is topologically protected when the operators are diagonalizable and elliptic.

  2. Anomalous Hall effect in anisotropic type-II Weyl semimetals

    hep-th 2026-05 conditional novelty 6.0

    In anisotropic type-II Weyl semimetals the CPT-odd axion-like response stays finite across the Lifshitz transition, acquiring tilt-dependent renormalizations and cutoff-sensitive terms that produce a finite, strongly ...

  3. When Symmetries Twist: Anomaly Inflow on Monodromy Defects

    hep-th 2026-05 unverdicted novelty 6.0

    Monodromy defects for anomalous symmetries are defined as domain walls between symmetry generators and anomaly-induced topological orders, resulting in protected chiral edge modes and adiabatic pumping of gapless degr...

  4. Crystallography, Lorentz violation, and the Standard-Model Extension

    cond-mat.mes-hall 2026-04 unverdicted novelty 6.0

    Crystal point groups parametrize SME Lorentz-violating coefficients in electromagnetic media, turning birefringent and multiferroic crystals into analogs for high-energy symmetry violations.

  5. Magnetar field dynamics driven by chiral anomalies without magnetic helicity

    astro-ph.HE 2026-05 unverdicted novelty 5.0

    Chiral magnetic effect generates magnetar-strength dipoles independently of initial net helicity via localized structures on decade timescales.

  6. D-instanton Effects on the Holographic Weyl Semimetals

    hep-th 2026-04 unverdicted novelty 5.0

    D-instantons induce a gapped topological insulator phase in holographic Weyl semimetals via phase diagrams from D7 brane free energy and non-linear conductivity calculations.