Time-reversal invariant realization of the Weyl semimetal phase
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We propose a realization of the Weyl semimetal phase that is invariant under time reversal and occurs due to broken inversion symmetry. We consider both a simple superlattice model and a more realistic tight-binding model describing an experimentally reasonable HgTe/CdTe multilayer structure. The two models have the same underlying symmetry, therefore their low-energy features are equivalent. We find a Weyl semimetal phase between the normal insulator and the topological insulator phases that exists for a finite range of the system parameters and exhibits a finite number of Weyl points with robust band touching at the Fermi level. This phase is experimentally characterized by a strong conductivity anisotropy and topological surface states. The principal conductivities change in a complementary fashion as the system parameters are varied, and the surface states only exist in a region of momentum space that is determined by the positions of the Weyl points.
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Time reversal symmetry requires that nodes at these momenta are time reversed partners which carry the same topological charge (Halász and Balents, 2012).
“Conversely, time reversal symmetry requires that nodes at these momenta are time reversed partners which carry the same topological charge (Hal´ asz and Balents, 2012).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Halász and Balents, 2012
Since the net topological charge enclosed within Brillouin is zero, the time-reversal situation further requires the existence of two additional compensating partner Weyl nodes (Halász and Balents, 2012; Murakami, 2007).
“Since the net topological charge enclosed within Brillouin is zero, this latter situation further requires the existence of two additional compensating partner Weyl nodes (Hal´ asz and Balents, 2012; Murakami, 2007).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Halász and Balents, 2012
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“However, we note that it may also be excluded even in magnetic WSMs where, for example, cubic symmetry is preserved.”
BackgroundInfluential
- Authors
- Halász, G. B., & Balents, L.
- Affiliations
- University of California, Santa Barbara (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-01-09
- Volume
- 85
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1988505308
- Cited by
- 372
- References
- 6
- Citations by year
- 2026: 5 · 2025: 10 · 2024: 8 · 2023: 8 · 2022: 20 · 2021: 26 · 2020: 24 · 2019: 38 · 2018: 35 · 2017: 38 · 2016: 46 · 2015: 47 · 2014: 31 · 2013: 24 · 2012: 10
- FWCI
- 18.54
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Funders
- National Science 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, time-reversal symmetry, inversion symmetry breaking, HgTe/CdTe superlattices, tight-binding model, Weyl points, band touching, anisotropic conductivity, topological surface states, topological phase transition
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