Edge modes, edge currents, and gauge invariance in p x + i p y superfluids and superconductors

By M. Stone, Rahul Roy. 2003

159 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/89bddb824d8f183eee5cdf25ad448866e6442402

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In Atomic and Molecular Physics, and Optics

1. J. Alicea
2. N. Lindner
3. A. Stern
4. C. Nayak
5. P. Fendley
6. Roger S. K. Mong
7. Erez Berg
8. Y. Oreg

In Condensed Matter Physics

1. J. Alicea
2. Roger S. K. Mong
3. A. Stern
4. C. Nayak
5. Matthew Fisher
6. P. Fendley
7. N. Lindner
8. Erez Berg

Citations in the corpus

• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure (2013, methodology): “Before turning to this problem it will be useful to briefly recall the corresponding physics in a spinless 2D p + ip superconductor [54, 147–149].”