Superfluidity in the two-dimensional gauge-field model: A renormalization-group analysis

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.13762· OSTI ID:5990825

Ubbens, M U; Lee, P A ^[1]; Nagaosa, N ^[2]

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1. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. Department of Applied Physics, University of Tokyo, Tokyo 113 (Japan)

We study an effective action of bosons interacting with a gauge field, which is derived from the [ital t]-[ital J] model in the slave-boson approach. We use a renormalization-group (RG) scheme to calculate the temperature [ital T][sub BE] below which the bosons start to condense in a superfluid state. One expects that a strongly fluctuating gauge field tends to destroy this superfluid state. Our numerical calculations indeed show that the presence of a gauge field suppresses the onset of superfluidity. This suppression is partly due to quantum fluctuations, and partly due to thermal excitations of the gauge field. An analytical calculation of the flow in the classical regime [ital T]([ital l])[much gt]1 shows that our perturbative RG scheme provides an expansion of the suppression of [ital T][sub BE] in powers of [ital q][sub 00][sup 2]/[ital u][sub 0], where [ital q][sub 00][sup 2] is the coupling constant of the gauge field, and [ital u][sub 0] is the short-range repulsion between the bosons. The RG scheme breaks down if [ital q][sub 00][sup 2]/[ital u][sub 0][approx gt]1, in which case one gets into the strong-coupling limit. Thus unfortunately the RG scheme is not reliable for the strong-coupling problem, which is appropriate for the [ital t]-[ital J] model with [ital t]/[ital J][similar to]1.

• OSTI ID: 5990825
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:18; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSE-EINSTEIN CONDENSATION
COUPLING
CRYSTAL MODELS
GAUGE INVARIANCE
HIGH-TC SUPERCONDUCTORS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
RENORMALIZATION
SUPERCONDUCTORS
SUPERFLUIDITY
TWO-DIMENSIONAL CALCULATIONS