Resistivity and superconductivity from anharmonic phonons

Journal Article · Thu Apr 01 04:00:00 EST 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.47.8050· OSTI ID:6941089

Mahan, G D; Sofo, J O ^[1]

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1. Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996-1200 (United States) Solid State Division, Oak Ridge National Laboratory, P. O. Box 2008, Oak Ridge, Tennessee 37831-6030 (United States)

The electrical resistivity is calculated for electron scattering from anharmonic phonons. We consider phonon potential energies of the form [similar to][ital Q][sup [ital n]], as well as double-well potentials [similar to][ital Q][sup 4][minus][alpha][ital Q][sup 2]. For phonon potential energies with a power law [similar to][ital Q][sup [ital n]], the resistivity at high temperature is proportional to [ital T][sup 2/[ital n]]. At low temperature, the resistivity rises rapidly and then flattens, thereby forming a knee shape. This behavior explains the resistivity of cuprate superconductors in the normal state. We also correlate resistivity with the superconducting transition temperature [ital T][sub [ital c]], to see whether anharmonic phonons cause the pair binding in the superconductor. Our results show that a reasonable set of parameters to explain the resistivity is unable to explain the [ital T][sub [ital c]] of these materials.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 6941089
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 47:13; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BINDING ENERGY
COPPER COMPOUNDS
COUPLING CONSTANTS
CUPRATES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY
HIGH-TC SUPERCONDUCTORS
MATHEMATICAL MODELS
OXYGEN COMPOUNDS
PAIRING ENERGY
PHONONS
PHYSICAL PROPERTIES
QUASI PARTICLES
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENT COMPOUNDS
TRANSITION TEMPERATURE