Superconducting fluctuations in the Hubbard model with an attractive on-site interaction in one dimension

Journal Article · Tue May 01 00:00:00 EDT 1990 · Journal of Applied Physics; (USA)

DOI:https://doi.org/10.1063/1.345948· OSTI ID:6825807

Schlottmann, P; Lee, K ^[1]

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1. Department of Physics, Temple University, Philadelphia, Pennsylvania 19122 (USA)

The low-temperature thermodynamics of the one-dimensional Hubbard model with attractive on-site interaction of the electrons is discussed within the framework of the Bethe ansatz for the wave function. At low {ital T} the dominant states consist of spin-paired electrons (Cooper-pair-like) and excitations of such pairs (without breaking up the singlet bound states). A critical field {ital H}{sub {ital c}} (energy required to depair a Cooper pair) is obtained at {ital T}=0 (note that the superconducting {ital T}{sub {ital c}} =0), which disappears for {ital T}{ne}0. There is no magnetic response at {ital T}=0 for {ital H}{lt}{ital H}{sub {ital c}} . The one-electron correlation function falls off exponentially with distance, while the singlet pair--singlet pair correlation decreases with a power law. The specific heat is linear in temperature, which is possibly a consequence of the dimension. The elementary excitations of the system are discussed. The excitation spectrum shows some analogies to that of resonant valence bonds in two dimensions.

• DOE Contract Number: FG02-87ER45333
• OSTI ID: 6825807
• Journal Information: Journal of Applied Physics; (USA), Vol. 67:9; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTORS
CORRELATION FUNCTIONS
EXCITATION
ONE-DIMENSIONAL CALCULATIONS
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
656100* - Condensed Matter Physics- Superconductivity