Anderson localization in strongly anisotropic metals

Journal Article · Fri Jul 15 00:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.50.1415· OSTI ID:7282970

Abrikosov, A A ^[1]

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1. Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)

Conditions for Anderson localization are derived for three cases: (1) anisotropic three-dimensional metal, (2) quasi-two-dimensional metal, and (3) quasi-one-dimensional metal. For all these cases the conductivity at [ital T]=0 as well as the interference correction are calculated. The simplest models are used. From the estimate [Delta][sigma]/[sigma][similar to]1, localization conditions are obtained. It is shown that localization takes place in all three cases but in cases (2) and (3) the critical value of the random potential is essentially reduced if the overlap integrals are small. In a two-dimensional metal this refers to the conductivity along the planes whereas for the conductivity perpendicular to the planes the three-dimensional condition applies, i.e., contrary to common wisdom localization in this direction is more difficult to reach than along the planes.

• DOE Contract Number: W-31-109-ENG-38
• OSTI ID: 7282970
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 50:3; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
METALS
ELECTRIC CONDUCTIVITY
ANISOTROPY
ELASTIC SCATTERING
IMPURITIES
INTERFERENCE
TEMPERATURE ZERO K
ELECTRICAL PROPERTIES
ELEMENTS
PHYSICAL PROPERTIES
SCATTERING
665400* - Quantum Physics Aspects of Condensed Matter- (1992-)