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Low-temperature specific heat of the degenerate supersymmetric {ital t}-{ital J} model in one dimension

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.361897· OSTI ID:280110
 [1];  [2]
  1. Department of Physics, Ewha Womans University, Seoul 120-750, South (Korea)
  2. Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)
We consider the one-dimensional SU({ital N})-invariant {ital t}-{ital J} model, which consists of electrons with {ital N} spin components on a lattice with nearest-neighbor hopping {ital t} constrained by the excluded multiple occupancy of the sites and spin-exchange {ital J} between neighboring lattice sites. The model is integrable and has been diagonalized in terms of nested Bethe ansatze at the supersymmetric point {ital t}={ital J}. The low-{ital T} specific heat is proportional to {ital T}. The {gamma}-coefficient is extracted from the thermodynamic Bethe-ansatz equations and is expressed in terms of the spin wave velocities and the group velocity of the charges for arbitrary {ital N}, band filling, and splitting of the levels (magnetic and crystalline fields). Our results contain the following special cases: (i) For {ital N}=2 the traditional spin-1/2 supersymmetric {ital t}-{ital J} model, (ii) for exactly one electron per site the SU({ital N})-Heisenberg chain, and (iii) for {ital N}=4 the two-band supersymmetric {ital t}-{ital J} model with crystalline field splitting. {copyright} {ital 1996 American Institute of Physics.}
OSTI ID:
280110
Report Number(s):
CONF-951101--
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 8 Vol. 79; ISSN JAPIAU; ISSN 0021-8979
Country of Publication:
United States
Language:
English

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