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Cited by 743Topological Materials and Phenomena2D Materials and ApplicationsAdvanced Condensed Matter Physics

Recent developments in transport phenomena in Weyl semimetals

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Hosur, Pavan, Qi, Xiaoliang·2013·Comptes Rendus. Physique
DOI 10.1016/j.crhy.2013.10.010
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Abstract

The last decade has witnessed great advancements in the science and engineering of systems with unconventional band structures, seeded by studies of graphene and topological insulators. While the band structure of graphene simulates massless relativistic electrons in two dimensions, topological insulators have bands that wind non-trivially over momentum space in a certain abstract sense. Over the last couple of years, enthusiasm has been burgeoning in another unconventional and topological (although, not quite in the same sense as topological insulators) phase – the Weyl semimetal. In this phase, electrons mimic Weyl fermions that are well known in high-energy physics, and inherit many of their properties, including an apparent violation of charge conservation known as the chiral anomaly. In this review, we recap some of the unusual transport properties of Weyl semimetals discussed in the literature so far, focusing on signatures whose roots lie in the anomaly. We also mention several proposed realizations of this phase in condensed matter systems, since they were what arguably precipitated activity on Weyl semimetals in the first place.

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  • In the absence of impurities and interactions, the free fermion result for the conductivity in the low energy limit that arises from interband transitions across the Weyl or Dirac node when the chemical potential is at the Weyl or Dirac point is given by Eq. 40.

    “In the absence of impurities and interactions the free fermion result for the conductivity in the low energy limit (where quadratic or higher order terms in the dispersion can be neglected) that arises from interband transitions across the Weyl or Dirac node when the chemical potential (E F ) is at the Weyl or Dirac point is”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Hosur and Qi, 2013

    Section 2, “Electric transport—bad metal or bad insulator?” (page unavailable), gives an optical-conductivity formula linear in frequency per Weyl node, supporting the conductivity result. The passage discusses high frequencies relative to temperature in a treatment of disordered Weyl semimetals; it does not explicitly identify the result as clean, interband conductivity at a chemical potential exactly at a Weyl or Dirac point. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 4

  1. O. Vafek, A. Vishwanath, Dirac fermions in solids -from high Tc cuprates and graphene to topological insulators and Weyl semimetals, arXiv e-prints, June 2013.
  2. F.F. Tafti, J.J. Ishikawa, A. McCollam, S. Nakatsuji, S.R. Julian, Pressure tuned insulator to metal transition in Eu 2 Ir 2 O 7 , arXiv e-prints, July 2011.
  3. K. Landsteiner, Anomaly related transport of Weyl fermions for Weyl semi-metals, arXiv e-prints, June 2013.
  4. Z. Wang, H. Weng, Q. Wu, X. Dai, Z. Fang, Three dimensional dirac semimetal and quantum spin Hall effect in Cd 3 As 2 , arXiv e-prints, May 2013.

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Authors
Hosur, P., & Qi, X.
Affiliations
Stanford University (US)
Corresponding author
Hosur, Pavan
ORCID
Hosur, Pavan
Venue
Comptes Rendus. Physique
Publisher
MathDoc/Centre Mersenne
Published
2013-11-01
Volume
14
Issue
9-10
Pages
857-870
ISSN
  • 1631-0705 (ISSN-L)
  • 1878-1535
DOI
10.1016/j.crhy.2013.10.010
OpenAlex
W2115709125
Cited by
743
References
71
Citations by year
2026: 12 · 2025: 26 · 2024: 36 · 2023: 41 · 2022: 51 · 2021: 66 · 2020: 50 · 2019: 69 · 2018: 85 · 2017: 98 · 2016: 122 · 2015: 66 · 2014: 20
FWCI
35.66
Type
journal article
Language
en
Open access
Locations
  • Comptes Rendus Physique (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Physical Reports (submittedVersion)
  • arXiv (Cornell University)
Funders
David and Lucile Packard Foundation
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Keywords
Weyl semimetals, chiral anomaly, transport phenomena, Weyl fermions, topological band structure

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