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Edge modes, edge currents, and gauge invariance inpx+ipysuperfluids and superconductors
Open accessAbstract
The excitation spectrum of a two-dimensional ${p}_{x}{+ip}_{y}$ fermionic superfluid, such as a thin film of ${}^{3}\mathrm{He}\ensuremath{-}A,$ includes a gapless Majorana-Weyl fermion which is confined to the boundary by Andreev reflection. There is also a persistent ground-state boundary current which provides a droplet containing N particles with angular momentum $\ensuremath{\Elzxh}N/2.$ Both of these boundary effects are associated with bulk Chern-Simons effective actions. We show that the gapless edge mode is required for the gauge invariance of the total effective action, but the same is not true of the boundary current.
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Cites
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Topological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Topological superconductors: a review
Sato, M., & Ando, Y. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa6ac7 · Cited by 1,614
Sato, M., & Fujimoto, S. (2009) · Physical Review B · doi:10.1103/physrevb.79.094504 · Cited by 597
Majorana Fermions and Topology in Superconductors
Sato, M., & Fujimoto, S. (2016) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.85.072001 · Cited by 373
Metadata
- Authors
- Stone, M., & Roy, R.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2004-05-28
- Volume
- 69
- Issue
- 18
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2023725428
- Cited by
- 279
- References
- 17
- FWCI
- 5.32
- 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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