Phys. Rev. B 69, 184511 (2004) [12 pages]Edge modes, edge currents, and gauge invariance in px+ipy superfluids and superconductorsReceived 22 August 2003; published 28 May 2004 The excitation spectrum of a two-dimensional px+ipy fermionic superfluid, such as a thin film of 3He-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 ħN/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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.184511
DOI:
10.1103/PhysRevB.69.184511
PACS:
74.20.De, 74.25.Fy, 74.25.Nf
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