The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Topological Invariants for Spin-Orbit Coupled Superconductor Nanowires
Open accessAbstract
We show that the Hamiltonian of a multiband spin-orbit coupled semiconductor nanowire with Zeeman splitting and s-wave superconductivity is approximately chiral symmetric. The chiral symmetry becomes exact when only one pair of confinement bands is occupied and the Zeeman splitting is parallel to the nanowire. In this idealized case the Hamiltonian is in the BDI symmetry class of the topological classification of band Hamiltonians, allowing an arbitrary integer number of zero-energy Majorana fermion modes at each end. In the realistic case of multiband wires (Zeeman splitting still parallel to the length) the chiral symmetry is approximate and results in multiple near-zero-energy end states with increasing Zeeman splitting. The existence of such low energy end states implies the vanishing of the minigap with increased Zeeman splitting which can only be restored by breaking the approximate chiral symmetry by a second Zeeman field.
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Citations
Cites
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,770
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Self-citationTopological field theory of time-reversal invariant insulators
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Helical Liquids and Majorana Bound States in Quantum Wires
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The Universe in a Helium Droplet
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Topological insulators and superconductors: tenfold way and dimensional hierarchy
Ryu, S., Schnyder, A. P., Furusaki, A., & Ludwig, A. W. W. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065010 · Cited by 2,045
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Sau, J. D., Lutchyn, R. M., Tewari, S., & Das Sarma, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.040502 · Cited by 1,940
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Cited by
Churchill, H. O. H., Fatemi, V., Grove-Rasmussen, K., Deng, M. T., Caroff, P., Xu, H. Q., & Marcus, C. M. (2013) · Physical Review B · doi:10.1103/physrevb.87.241401 · Cited by 771
Topology of crystalline insulators and superconductors
Shiozaki, K., & Sato, M. (2014) · Physical Review B · doi:10.1103/physrevb.90.165114 · Cited by 507
Evidence of topological superconductivity in planar Josephson junctions
Fornieri, A., Whiticar, A. M., Setiawan, F., Portolés, E., Drachmann, A. C. C., Keselman, A., Gronin, S., Thomas, C., Wang, T., Kallaher, R., et al. (2019) · Nature · doi:10.1038/s41586-019-1068-8 · Cited by 394
Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases
Trifunovic, L., & Brouwer, P. W. (2019) · Physical Review X · doi:10.1103/physrevx.9.011012 · Cited by 299
Metadata
- Authors
- Tewari, S., & Sau, J. D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-10-10
- Volume
- 109
- Issue
- 15
- Pages
- 150408-150408
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2056902350
- Cited by
- 288
- References
- 30
- FWCI
- 12.96
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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