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

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Koeln, (Germany)
  2. (Germany)
  3. Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)
Publication Date:
OSTI Identifier:
20216596
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 20; Other Information: PBD: 15 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HEISENBERG MODEL; ANTIFERROMAGNETISM; THERMODYNAMIC PROPERTIES; CHAINS; INTEGRAL EQUATIONS; MAGNETIC SUSCEPTIBILITY; SPECIFIC HEAT; THEORETICAL DATA

Citation Formats

Kluemper, A., Fachbereich Physik, Universitaet Dortmund, 44221 Dortmund,, and Johnston, D. C. Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.4701.
Kluemper, A., Fachbereich Physik, Universitaet Dortmund, 44221 Dortmund,, & Johnston, D. C. Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain. United States. doi:10.1103/PhysRevLett.84.4701.
Kluemper, A., Fachbereich Physik, Universitaet Dortmund, 44221 Dortmund,, and Johnston, D. C. Mon . "Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain". United States. doi:10.1103/PhysRevLett.84.4701.
@article{osti_20216596,
title = {Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain},
author = {Kluemper, A. and Fachbereich Physik, Universitaet Dortmund, 44221 Dortmund, and Johnston, D. C.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.84.4701},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 20,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}