Quantized Hall conductance as a topological invariant

Technical Report · Mon Oct 01 04:00:00 EDT 1984

OSTI ID:5918985

Niu, Q; Thouless, Ds J; Wu, Y S

Whenever the Fermi level lies in a gap (or mobility gap) the bulk Hall conductance can be expressed in a topologically invariant form showing the quantization explicitly. The new formulation generalizes the earlier result by TKNN to the situation where many body interaction and substrate disorder are also present. When applying to the fractional quantized Hall effect we draw the conclusion that there must be a symmetry breaking in the many body ground state. The possibility of writing the fractionally quantized Hall conductance as a topological invariant is also carefully discussed. 19 references.

• Research Organization: Washington Univ., Seattle (USA). Dept. of Physics
• DOE Contract Number: AC06-81ER40048
• OSTI ID: 5918985
• Report Number(s): DOE/ER/40048-28-P4; ON: DE85007796
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CARRIER MOBILITY
ELECTRIC CONDUCTIVITY
ELECTRIC CONDUCTORS
ELECTRICAL PROPERTIES
ENERGY GAP
ENERGY LEVELS
FERMI LEVEL
GROUND STATES
HALL EFFECT
MANY-BODY PROBLEM
MAPPING
MOBILITY
PHYSICAL PROPERTIES
QUANTIZATION
SYMMETRY BREAKING
TOPOLOGICAL MAPPING
TRANSFORMATIONS