Holstein model in infinite dimensions

Journal Article · Wed Sep 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.6302· OSTI ID:6022929

Freericks, J K ^[1]; Jarrell, M ^[2]; Scalapino, D J ^[1]

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1. Institute for Theoretical Physics and Department of Physics, University of California, Santa Barbara, California 93106-4030 (United States)
2. Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221 (United States)

Monte Carlo simulations are performed to examine superconductivity and charge-density-wave fluctuations in the infinite-dimensional electron-phonon Holstein model. The electron-phonon system interpolates between an attractive, static, Falicov-Kimball model that always exhibits charge-density-wave order and an attractive, instantaneous, Hubbard model that always superconducts as a function of phonon frequency. The maximum charge-density-wave transition temperature at half-filling is an order of magnitude smaller than the effective electronic bandwidth and is virtually independent of the phonon frequency. The maximum superconducting transition temperature depends strongly on phonon frequency and is bounded from above by the maximum charge-density-wave transition temperature. The exact solution is compared to both weak-coupling expansions and strong-coupling expansions. The effective phonon potential becomes anharmonic and develops a double-well structure that deepens as the electron-phonon interaction increases.

• OSTI ID: 6022929
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:9; 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
CALCULATION METHODS
COMPUTERIZED SIMULATION
COUPLING
CRYSTAL MODELS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTRON-PHONON COUPLING
FLUCTUATIONS
HUBBARD MODEL
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PHYSICAL PROPERTIES
SIMULATION
SUPERCONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VARIATIONS