Collective excitations in the Ginzburg-Landau theory of the fractional quantum Hall effect

Journal Article · Mon Mar 04 00:00:00 EST 1991 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.66.1220· OSTI ID:6197151

Lee, D ^[1]; Zhang, S ^[2]

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1. IBM Research Division, Thomas J. Watson Research Center, Yorktown Heights, New York 10598 (US)
2. IBM Research Division, Almaden Research Center, San Jose California (US)

The collective excitations of the fractional-quantum-Hall liquid are studied within the Ginzburg-Landau theory. We show that (1) Gaussian fluctuations of the phase of the order parameter correspond to the cyclotron mode with an energy gap of {h bar}{omega}{sub {ital c}} at {bold q}=0 and a contribution to the static structure factor proportional to {vert bar}{bold q}{vert bar}{sup 2} as {bold q}{r arrow}0, in accordance with Kohn's theorem, and (2) vortex-antivortex fluctuations give rise to the lowest-Landau-level collective mode with an energy gap that depends only on the Coulomb energy and a static structure factor that vanishes as {vert bar}{bold q}{vert bar}{sup 4} as {bold q}{r arrow}0.

• OSTI ID: 6197151
• Journal Information: Physical Review Letters; (USA), Vol. 66:9; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HALL EFFECT
COLLECTIVE EXCITATIONS
COULOMB FIELD
FLUCTUATIONS
GAUSS FUNCTION
GINZBURG-LANDAU THEORY
ORDER PARAMETERS
QUANTUM FLUIDS
STRUCTURE FACTORS
ELECTRIC FIELDS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FLUIDS
FUNCTIONS
VARIATIONS
656000* - Condensed Matter Physics
656100 - Condensed Matter Physics- Superconductivity