Bosonic Chern-Simons field theory of anyon superconductivity

Journal Article · Mon Sep 14 04:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392004109· OSTI ID:6967278

Weiss, N ^[1]

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1. British Columbia Univ., Vancouver, BC (Canada). Dept. of Physics

In this paper, the authors study the quantum field theory of non-relativistic bosons coupled to a Chern-Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as bosons with a statistical interaction. The authors show that it is possible to find a mean field solution to the equations of motion for this system which has some of the features of Bose condensation. The mean field solution consists of a lattice of vortices each carrying a single quantum of statistical magnetic flux. The authors speculate on the effects of the quantum corrections to this mean field solution. The authors argue that the mean field solution is only stable under quantum corrections if the Chern-Simons coefficient N = 2[pi][theta]/g[sup 2] is an integer. Consequences for anyon superconductivity are presented. A simple explanation for the Meissner effect in this system is discussed.

• OSTI ID: 6967278
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:28; ISSN 0217-7323; ISSN MPLAEQ
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
665411 -- Basic Superconductivity Studies-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANYONS
BOSONS
CORRECTIONS
COUPLING
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
MAGNETIC FLUX
MEAN-FIELD THEORY
MECHANICS
MEISSNER-OCHSENFELD EFFECT
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
QUASI PARTICLES
STATISTICAL MECHANICS
SUPERCONDUCTIVITY