Effective-field-theory model for the fractional quantum Hall effect

Journal Article · Mon Jan 02 04:00:00 EST 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.62.82· OSTI ID:6551814

Zhang, S C; Hansson, T H; Kivelson, S

Starting directly from the microscopic Hamiltonian, we derive a field-theory model for the fractional quantum hall effect. By considering an approximate coarse-grained version of the same model, we construct a Landau-Ginzburg theory similar to that of Girvin. The partition function of the model exhibits cusps as a function of density and the Hall conductance is quantized at filling factors ..nu.. = (2k-1)/sup -1/ with k an arbitrary integer. At these fractions the ground state is incompressible, and the quasiparticles and quasiholes have fractional charge and obey fractional statistics. Finally, we show that the collective density fluctuations are massive.

• Research Organization: Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
• OSTI ID: 6551814
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:1; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COLLECTIVE EXCITATIONS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FLUCTUATIONS
FUNCTIONS
GINZBURG-LANDAU THEORY
GROUND STATES
HALL EFFECT
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTITION FUNCTIONS
QUANTIZATION
QUANTUM OPERATORS
QUASI PARTICLES
VARIATIONS