Aharonov-Bohm and statistical phases in the fractional quantum Hall effect

Journal Article · Sat Jun 01 00:00:00 EDT 1991 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979291001632· OSTI ID:5366283

Su, W P ^[1]

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1. Houston Univ., TX (United States). Dept. of Physics

The {nu} = 1/q quantum Hall states are characterized by a perfect cancellation of the magnetic (Aharonov-Bohm) and the Fermi statistical phases. In this paper the lowering of the ground state energy due to this phase cancellation is illustrated by using a partial analogy with the Helium II problem and via a path integral formulation. For general filling fractions {nu} = p/q, a cluster of p electrons is considered instead of a single electron. There is again a perfect cancellation of the effective Aharonov-Bohm phase and the statistical phase of the clusters provided that q is odd.

• OSTI ID: 5366283
• Journal Information: International Journal of Modern Physics B; (United States), Vol. 5:10; ISSN 0217-9792
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTIVITY
AHARONOV-BOHM EFFECT
HALL EFFECT
ELECTRONS
ENERGY
FEYNMAN PATH INTEGRAL
GROUND STATES
HELIUM II
QUANTUM MECHANICS
STATISTICAL MECHANICS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELEMENTARY PARTICLES
ENERGY LEVELS
EVEN-EVEN NUCLEI
FERMIONS
FLUIDS
HELIUM 4
HELIUM ISOTOPES
INTEGRALS
ISOTOPES
LEPTONS
LIGHT NUCLEI
MECHANICS
NUCLEI
PHYSICAL PROPERTIES
QUANTUM FLUIDS
STABLE ISOTOPES
665411* - Basic Superconductivity Studies- (1992-)