The spin-1/2 XXZ chain at finite magnetic field: Crossover phenomena driven by temperature

Journal of Statistical Physics

Volumn 102, Issue 3-4, 2001, Pages 937-951

  Klumper A ^a   Reyes Martinez J R ^b   Scheeren, C ^b   Shiroishi, M ^c  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF COLOGNE   (Germany)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

Conformal field theory; Crossover phenomena; Exact solution; Level crossing; Quantum transfer matrix; Strongly correlated systems

Indexed keywords

EID: 0035534205     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004811305534     Document Type: Article

References (19)

1. A. Klümper, Thermodynamics of the anisotropic spin-1 2 Heisenberg chain and related quantum chains, Z. Phys. B 91:507 (1993).
2. K. Fabricius, A. Klümper, and B. M. McCoy, Temperature dependent spatial oscillations in the correlations of the XXZ spin chain, cond-mat 9812012, Phys. Rev. Lett. 82:5365 (1999): Competition of ferromagnetic and antiferromagnetic order in the spin-1 2 XXZ chain at finite temperature, in Statistical Physics on the Eve of the 21st Century, M. T. Batchelor and L. T. Wille, eds. (World Scientific. Singapore. 1999). S. 351 365: cond-mat 9810278.
3. K. Fabricius, A. Klümper, and B. M. McCoy, Temperature dependent spatial oscillations in the correlations of the XXZ spin chain, cond-mat 9812012, Phys. Rev. Lett. 82:5365 (1999): Competition of ferromagnetic and antiferromagnetic order in the spin-1 2 XXZ chain at finite temperature, in Statistical Physics on the Eve of the 21st Century, M. T. Batchelor and L. T. Wille, eds. (World Scientific. Singapore. 1999). S. 351 365: cond-mat 9810278.
4. J. L. Cardy, Conformal invariance and universality in finite-size scaling, J. Phys. A 17:L385 (1984).
5. I. Affleck, Universal term in the free energy at a critical point and the conformal anomaly. Phys. Rev. Lett. 56:746 (1986).
6. c superconductivity, Int. J. Mod. Phys. 3:427-439, 1989.
7. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, 1993).
8. A. Klümper, J. R. Reyes Martinez, C. Seheeren, and M. Shiroishi, to be published.
9. C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions I. Properties of the groundstate energy per site for an infinite system, Phys. Rev. 150:327 (1966).
10. C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions II. Proof of Bethe's hypothesis for ground state in finite system, Phys. Rev. 150: 321 (1966).
11. C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions. III. Applications, Phys. Rev. 150:321 (1966).
12. A. Luther and I. Peschel, Calculation of critical exponents in two dimensions from quantum field theory in one dimension, Phys. Rev. B 12:3908 (1975).
13. H. C. Fogedby, Correlation functions for the Heisenberg Ising chain at T = 0, J. Phys. C 11:4767 (1978).
14. M. Suzuki, Transfer-matrix method and Monte Carlo simulation in quantum spin systems, Phys. Rev. B 31:2957 (1985).
15. M. Suzuki and M. Inoue, The ST-transformation approach to analytic solutions of quantum systems I, Prog. Theor. Phys. 78:787 (1987).
16. J. Suzuki, Y. Akutsu, and M. Wadati, A new approach to quantum spin chains at finite temperature, J. Phys. Soc. Japan 59:2667 (1990).
17. M. Takahashi, Correlation length and free energy of the S = 1/2 XXZ chain in a magnetic field, Phys. Rev. B 44:12382 (1991).
18. A. Kuniba, K. Sakai, and J. Suzuki, Continued fraction TBA and functional relations in XXZ model at root of unity, Nucl. Phys. B 525:597 (1998).
19. K. Sakai, M. Shiroishi, J. Suzuki, and Y. Umeno, Commuting quantum transfer-matrix approach to intrinsic fermion system: Correlation length of a spinless fermion model, Phys. Rev. B 60:5186 (1999).