Dipolar bogolons: from superfluids to Pfaffians

Abstract

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.

5 pages main text + 5 pages supplementary material; 1 figure. Version published in PRL under different title; typos corrected, references added

References in corpus (7)

• Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
• A dipole interpretation of the $\nu =1/2$ state
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Unpaired composite fermion, topological exciton, and zero mode
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• On the Current Carried by `Neutral' Quasiparticles
• The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid

Cited by in corpus (8)

• Many body localization with long range interactions
• Wave packet dynamics of Bogoliubov quasiparticles: quantum metric effects
• Conserved current of nonconserved quantities
• Berry curvature effects on quasiparticle dynamics in superconductors
• Majorana fermions from Landau quantization in a superconductor--topological-insulator hybrid structure
• Detecting Topological Superconductivity via Berry Curvature Effects in Spectral Functions
• Neutral edge modes in a superconductor -- topological-insulator hybrid structure in a perpendicular magnetic field
• Intrinsic Nernst Effect from Berry Curvature in Superconductors