Mean-field solution of the continuum Froehlich problem at finite temperature

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

DOI:https://doi.org/10.1103/PhysRevB.50.5160· OSTI ID:6664498

Eremko, A A ^[1]

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1. Bogolyubov Institute for Theoretical Physics of the Ukrainian Academy of Sciences, 252143 Kiev (Ukraine)

The temperature behavior of the charge-density-wave (CDW) state in one-dimensional conductors is studied within the framework of a mean-field approach using the exact solution of the self-consistent equations. The properties of the CDW condensate are found to be dependent on the value of the dimensionless parameter which includes an electron-phonon coupling constant and the density of electrons. The thermal behavior of the CDW is shown to be similar to that of the Bardeen-Cooper-Schrieffer (BCS) superconducting condensate only at sufficiently weak electron-phonon coupling or relatively high electron density. In the case of comparatively strong coupling or sufficiently low electron density, the correct mean-field consideration leads to violation of the BCS relation between the phase transition temperature and electronic gap at [ital T]=0, and also to a variation of the CDW period, which decreases with increasing temperature.

• OSTI ID: 6664498
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 50:8; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
MOLYBDATES
CHARGE DENSITY
COLLECTIVE EXCITATIONS
NIOBIUM SELENIDES
PHOSPHORUS FLUORIDES
SUPERCONDUCTORS
TANTALUM SULFIDES
TMTSF
BCS THEORY
ELECTRON-PHONON COUPLING
ENERGY GAP
MEAN-FIELD THEORY
ONE-DIMENSIONAL CALCULATIONS
POTASSIUM COMPOUNDS
SUPERCONDUCTIVITY
TEMPERATURE DEPENDENCE
TEMPERATURE ZERO K
TRANSITION TEMPERATURE
TRANSPORT THEORY
ALKALI METAL COMPOUNDS
CHALCOGENIDES
COUPLING
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY-LEVEL TRANSITIONS
EXCITATION
FLUORIDES
FLUORINE COMPOUNDS
HALIDES
HALOGEN COMPOUNDS
HETEROCYCLIC COMPOUNDS
MOLYBDENUM COMPOUNDS
NIOBIUM COMPOUNDS
ORGANIC COMPOUNDS
ORGANIC SUPERCONDUCTORS
OXYGEN COMPOUNDS
PHOSPHORUS COMPOUNDS
PHYSICAL PROPERTIES
REFRACTORY METAL COMPOUNDS
SELENIDES
SELENIUM COMPOUNDS
SULFIDES
SULFUR COMPOUNDS
TANTALUM COMPOUNDS
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENT COMPOUNDS
360607* - Other Materials- Superconducting Properties- (1992-)