States of anyon matter

Journal Article · Mon May 20 00:00:00 EDT 1991 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979291000626· OSTI ID:5201526

Wilczek, F ^[1]

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1. School of Natural Sciences, Inst. for Advanced Study, Princeton, NJ (US)

In this paper the basic definition and elementary properties of anyons are briefly reviewed. Average field theory is introduced as a method to roughly assess the qualitative properties of aggregates of anyons, and is argued to be reliable in certain limits. The basic mechanism of anyon superconductivity is discussed in simple physical terms. The mechanism is argued to be fundamentally different from spontaneous symmetry breaking, and specifically from BCS pairing. The formal principle involved, previously discussed under the rubric spontaneous fact violation, is given a new more precise mathematical formulation: it is the spontaneous projectivization of a linear symmetry. Tight conceptual connections are made between the fractional quantized Hall effect and anyon superconductivity, basically by inverting the average field procedure. Values of the quantum statistical parameter are identified at which anyon superconducting states are likely to occur. Values of the filling fractions are identified, as a function of the quantum statistics parameter, at which anyon quantized Hall states are likely to occur.

• OSTI ID: 5201526
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 5:9; ISSN 0217-9792; ISSN IJPBE
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANYONS
BCS THEORY
DOCUMENT TYPES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FIELD THEORIES
HALL EFFECT
MECHANICS
PHYSICAL PROPERTIES
QUANTIZATION
QUANTUM MECHANICS
QUASI PARTICLES
REVIEWS
STATISTICAL MECHANICS
SUPERCONDUCTIVITY
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS