Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain

Journal Article · Mon May 15 04:00:00 EDT 2000 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.84.4701· OSTI ID:20216596

Kluemper, A ^[1]; Johnston, D C ^[2]

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1. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Koeln, (Germany)
2. Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)

We present a new application of the traditional thermodynamic Bethe ansatz to the spin-1/2 antiferromagnetic uniform Heisenberg chain and derive exact nonlinear integral equations for just two functions describing the elementary excitations. By using this approach, the magnetic susceptibility {chi} and specific heat C versus temperature T are calculated to high accuracy for 5x10{sup -25}{<=}T/J{<=}5 . The {chi}(T) data agree very well at low T with the asymptotically exact theoretical low-T prediction of Lukyanov [Nucl. Phys. B522, 533 (1998)]. The unknown coefficients of the second and third lowest-order logarithmic correction terms in Lukyanov's theory for C(T) are estimated from the C(T) data. (c) 2000 The American Physical Society.

• OSTI ID: 20216596
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 84; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
CHAINS
HEISENBERG MODEL
INTEGRAL EQUATIONS
MAGNETIC SUSCEPTIBILITY
SPECIFIC HEAT
THEORETICAL DATA
THERMODYNAMIC PROPERTIES