Mass flows and angular momentum density for px + ipy paired fermions in a harmonic trap

Michael Stone; Inaki Anduaga

doi:10.1016/j.aop.2007.04.020

Mass flows and angular momentum density for p_x + ip_y paired fermions in a harmonic trap

Michael Stone, Inaki Anduaga

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a simple two-dimensional model of a p_x + ip_y superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diagonalization of the Bogoliubov-de Gennes operator. We find that, at zero temperature and for constant director l, the mass flow closely follows the Ishikawa-Mermin-Muzikar formula j_mass = frac(1, 2) curl / (ρ ℏ l / 2).

Original language	English (US)
Pages (from-to)	2-16
Number of pages	15
Journal	Annals of Physics
Volume	323
Issue number	1
DOIs	https://doi.org/10.1016/j.aop.2007.04.020
State	Published - Jan 2008

Keywords

Superconductivity
Superfluidity

ASJC Scopus subject areas

General Physics and Astronomy

Online availability

10.1016/j.aop.2007.04.020

Library availability

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Cite this

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title = "Mass flows and angular momentum density for px + ipy paired fermions in a harmonic trap",

abstract = "We present a simple two-dimensional model of a px + ipy superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diagonalization of the Bogoliubov-de Gennes operator. We find that, at zero temperature and for constant director l, the mass flow closely follows the Ishikawa-Mermin-Muzikar formula jmass = frac(1, 2) curl / (ρ ℏ l / 2).",

keywords = "Superconductivity, Superfluidity",

author = "Michael Stone and Inaki Anduaga",

note = "This work was supported by the National Science Foundation under Grant DMR-06-03528. We would like to thank Rahul Roy and Shizhong Zhang for the original suggestion that we investigate p x + ip y fermions in a harmonic trap, and for discussions in the early stages of the project.",

year = "2008",

month = jan,

doi = "10.1016/j.aop.2007.04.020",

language = "English (US)",

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AU - Stone, Michael

AU - Anduaga, Inaki

N1 - This work was supported by the National Science Foundation under Grant DMR-06-03528. We would like to thank Rahul Roy and Shizhong Zhang for the original suggestion that we investigate p x + ip y fermions in a harmonic trap, and for discussions in the early stages of the project.

PY - 2008/1

Y1 - 2008/1

N2 - We present a simple two-dimensional model of a px + ipy superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diagonalization of the Bogoliubov-de Gennes operator. We find that, at zero temperature and for constant director l, the mass flow closely follows the Ishikawa-Mermin-Muzikar formula jmass = frac(1, 2) curl / (ρ ℏ l / 2).

AB - We present a simple two-dimensional model of a px + ipy superfluid in which the mass flow that gives rise to the intrinsic angular momentum is easily calculated by numerical diagonalization of the Bogoliubov-de Gennes operator. We find that, at zero temperature and for constant director l, the mass flow closely follows the Ishikawa-Mermin-Muzikar formula jmass = frac(1, 2) curl / (ρ ℏ l / 2).

KW - Superconductivity

KW - Superfluidity

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