Anomalous low-temperature properties of the degenerate one-dimensional Hubbard model

Journal Article · Mon Nov 13 04:00:00 EST 1989 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.63.2299· OSTI ID:5212394

Lee, K; Schlottmann, P ^[1]

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

Unusual properties of the Hubbard chain of arbitrary degeneracy {ital N} and excluded-site occupations of more than two electrons are presented: (i) In zero field and in the limit of large {ital N} the ground state resembles an interacting Bose gas. The 1/{ital N} contributions vanish identically, so that corrections to leading order are 1/{ital N}{sup 2}. (ii) The susceptibility at {ital T}=0 shows logarithmic singularities as {ital H}{r arrow}0. (iii) The Hubbard model and the Heisenberg chain have the same low-energy spin excitations for all {ital U}. (iv) The specific-heat coefficient {gamma} is singular. These properties hold for arbitrary band filling and (ii)--(iv) hold for all {ital N}{ge}2.

• OSTI ID: 5212394
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 63:20; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

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36 MATERIALS SCIENCE
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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
CHALCOGENIDES
COPPER COMPOUNDS
COPPER OXIDES
CRYSTAL MODELS
ENERGY LEVELS
EQUATIONS
GROUND STATES
HEISENBERG MODEL
INTEGRAL EQUATIONS
MAGNETIC FIELDS
MAGNETS
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
OXIDES
OXYGEN COMPOUNDS
PHYSICAL PROPERTIES
SINGULARITY
SPECIFIC HEAT
SPIN WAVES
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENT COMPOUNDS