TY - JOUR

T1 - Microscopic model of quasiparticle wave packets in superfluids, superconductors, and paired hall states

AU - Parameswaran, S. A.

AU - Kivelson, S. A.

AU - Shankar, R.

AU - Sondhi, Shivaji Lal

AU - Spivak, B. Z.

PY - 2012/12/5

Y1 - 2012/12/5

N2 - We study the structure of Bogoliubov quasiparticles, bogolons, the fermionic excitations of paired superfluids that arise from fermion (BCS) pairing, including neutral superfluids, superconductors, and paired quantum Hall states. The naive construction of a stationary quasiparticle in which the deformation of the pair field is neglected leads to a contradiction: it carries a net electrical current even though it does not move. However, treating the pair field self-consistently resolves this problem: in a neutral superfluid, a dipolar current pattern is associated with the quasiparticle for which the total current vanishes. When Maxwell electrodynamics is included, as appropriate to a superconductor, this pattern is confined over a penetration depth. For paired quantum Hall states of composite fermions, the Maxwell term is replaced by a Chern-Simons term, which leads to a dipolar charge distribution and consequently to a dipolar current pattern.

AB - We study the structure of Bogoliubov quasiparticles, bogolons, the fermionic excitations of paired superfluids that arise from fermion (BCS) pairing, including neutral superfluids, superconductors, and paired quantum Hall states. The naive construction of a stationary quasiparticle in which the deformation of the pair field is neglected leads to a contradiction: it carries a net electrical current even though it does not move. However, treating the pair field self-consistently resolves this problem: in a neutral superfluid, a dipolar current pattern is associated with the quasiparticle for which the total current vanishes. When Maxwell electrodynamics is included, as appropriate to a superconductor, this pattern is confined over a penetration depth. For paired quantum Hall states of composite fermions, the Maxwell term is replaced by a Chern-Simons term, which leads to a dipolar charge distribution and consequently to a dipolar current pattern.

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U2 - 10.1103/PhysRevLett.109.237004

DO - 10.1103/PhysRevLett.109.237004

M3 - Article

C2 - 23368246

AN - SCOPUS:84870602843

SN - 0031-9007

VL - 109

JO - Physical review letters

JF - Physical review letters

IS - 23

M1 - 237004

ER -