Universal phase diagrams for the quantum spin Hall systems
Open accessAbstract
We describe how the three-dimensional (3D) quantum spin Hall phase arises from the insulator phase by changing an external parameter. In 3D systems without inversion symmetry, a gapless phase should appear between the two phases with a bulk gap. The gapless points are monopoles and antimonopoles (in $\mathbf{k}$ space), whose topological nature is the source of this gapless phase. In general, when the external parameter is changed from the ordinary insulator phase, two monopole-antimonopole pairs are created and the system becomes gapless. The gap-closing points (monopoles and antimonopoles) then move in the $\mathbf{k}$ space as the parameter is changed further. They eventually annihilate in pairs, with changing partners from the pair creations, and the system opens a gap again entering into the quantum spin Hall phase.
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Tuning an additional parameter to drive the transition involves moving the Weyl nodes towards each other and annihilating them.
“Tuning an additional parameter to drive the transition involves moving the Weyl nodes towards each other and annihilating them as described by Murakami and Kuga, 2008.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Murakami and Kuga, 2008
Cites
Quantum Spin Hall Insulator State in HgTe Quantum Wells
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Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651 · see citing works
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523 · see citing works
Concept of nonintegrable phase factors and global formulation of gauge fields
Wu, T. T., & Yang, C. N. (1975) · Physical Review D · doi:10.1103/physrevd.12.3845 · Cited by 1,196 · see citing works
Murakami, S. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/9/356 · Cited by 1,176 · see citing works
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Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works
“Tuning an additional parameter to drive the transition involves moving the Weyl nodes towards each other and annihilating them as described by Murakami and Kuga, 2008.”
MethodClassification of stable three-dimensional Dirac semimetals with nontrivial topology
Yang, B.-J., & Nagaosa, N. (2014) · Nature Communications · doi:10.1038/ncomms5898 · Cited by 864 · see citing works
Anomalous Hall effect in ZrTe5
Liang, T., Lin, J., Gibson, Q., Kushwaha, S., Liu, M., Wang, W., Xiong, H., Sobota, J. A., Hashimoto, M., Kirchmann, P. S., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0078-z · Cited by 293 · see citing works
Weyl semimetals from noncentrosymmetric topological insulators
Liu, J., & Vanderbilt, D. (2014) · Physical Review B · doi:10.1103/physrevb.90.155316 · Cited by 244 · see citing works
Dispersion of Fermi arcs in Weyl semimetals and their evolutions to Dirac cones
Okugawa, R., & Murakami, S. (2014) · Physical Review B · doi:10.1103/physrevb.89.235315 · Cited by 150 · see citing works
Self-citationWeyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“Tuning an additional parameter to drive the transition involves moving the Weyl nodes towards each other and annihilating them as described by Murakami and Kuga, 2008.”
Method
- Authors
- Murakami, S., & Kuga, S.-I.
- Affiliations
- Tokyo Institute of Technology (JP)
- The University of Tokyo (JP)
- ORCID
- Murakami, Shuichi
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-10-13
- Volume
- 78
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1967786273
- Cited by
- 136
- References
- 5
- Citations by year
- 2025: 3 · 2024: 4 · 2023: 2 · 2022: 5 · 2021: 12 · 2020: 12 · 2019: 7 · 2018: 30 · 2017: 17 · 2016: 6 · 2015: 8 · 2014: 4 · 2013: 5 · 2012: 4
- FWCI
- 3.29
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- Tokyo Tech Research Repository (Tokyo Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- quantum spin Hall effect, three-dimensional topological insulators, phase diagram, monopole-antimonopole pairs, gapless phase, topological phase transition, inversion symmetry breaking
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