TY - JOUR

T1 - Effective theory of vortices in two-dimensional spinless chiral p -wave superfluids

AU - Ariad, Daniel

AU - Grosfeld, Eytan

AU - Seradjeh, Babak

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/7/20

Y1 - 2015/7/20

N2 - We propose a U(1)×Z2 effective gauge theory for vortices in a px+ipy superfluid in two dimensions. The combined gauge transformation binds U(1) and Z2 defects so that the total transformation remains single-valued and manifestly preserves the particle-hole symmetry of the action. The Z2 gauge field introduces a complete Chern-Simons term in addition to a partial one associated with the U(1) gauge field. The theory reproduces the known physics of vortex dynamics such as a Magnus force proportional to the superfluid density. More importantly, it predicts a universal Abelian phase, exp(iπ/8), upon the exchange of two vortices. This phase is modified by nonuniversal corrections due to the partial Chern-Simon term, which are nevertheless screened in a charged superfluid at distances that are larger than the penetration depth.

AB - We propose a U(1)×Z2 effective gauge theory for vortices in a px+ipy superfluid in two dimensions. The combined gauge transformation binds U(1) and Z2 defects so that the total transformation remains single-valued and manifestly preserves the particle-hole symmetry of the action. The Z2 gauge field introduces a complete Chern-Simons term in addition to a partial one associated with the U(1) gauge field. The theory reproduces the known physics of vortex dynamics such as a Magnus force proportional to the superfluid density. More importantly, it predicts a universal Abelian phase, exp(iπ/8), upon the exchange of two vortices. This phase is modified by nonuniversal corrections due to the partial Chern-Simon term, which are nevertheless screened in a charged superfluid at distances that are larger than the penetration depth.

UR - http://www.scopus.com/inward/record.url?scp=84938919372&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.92.035136

DO - 10.1103/PhysRevB.92.035136

M3 - Article

AN - SCOPUS:84938919372

SN - 1098-0121

VL - 92

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 3

M1 - 035136

ER -