Regularly alternating spin-1/2 anisotropic XY chains: The ground-state and thermodynamic properties

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 2, 2004, Pages

  Derzhko, Oleg ^a,b   Richter, Johannes ^c   Krokhmalskii, Taras ^a   Zaburannyi, Oles ^a  

^a INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

^b IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

^c OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DIMERS; FERMIONS; FREE ENERGY; GROUND STATE; HAMILTONIANS; MAGNETIC SUSCEPTIBILITY; MAGNETIZATION; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PHASE TRANSITIONS; RANDOM PROCESSES; SET THEORY; SPECTRUM ANALYSIS;

GROUND-STATE ENERGY; HAMILTONIAN PARAMETERS; ISING CHAINS; TRANSFER MATRIX;

QUANTUM THEORY;

EID: 42749106317     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066112     Document Type: Article

References (39)

1. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
2. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, California 1991).
3. B. K. Chakrabarti, A. Dutta, and P. Sen, Quantum Ising Phases and Transitions in Transverse Ising Models (Springer-Verlag, Berlin, 1996).
4. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
5. P. Pfeuty, Ann. Phys. (N.Y.) 57, 79 (1970).
6. J. M. Luck, J. Stat. Phys. 72, 417 (1993).
7. D. S. Fisher, Phys. Rev. Lett. 69, 534 (1992); Phys. Rev. B 51, 6431 (1995).
8. D. S. Fisher, Phys. Rev. Lett. 69, 534 (1992); Phys. Rev. B 51, 6431 (1995).
9. F. Iglói, L. Turban, D. Karevski, and F. Szalma, Phys. Rev. B 56, 11031 (1997).
10. Jong-Won Lieh, J. Math. Phys. 11, 2114 (1970).
11. J. H. H. Perk, H. W. Capel, M. J. Zuilhof, and Th. J. Siskens, Physica A 81, 319 (1975).
12. K. Okamoto and K. Yasumura, J. Phys. Soc. Jpn. 59, 993 (1990).
13. L. L. Gonçalves and J. P. de Lima, J. Phys.: Condens. Matter 9, 3447 (1997).
14. F. F. B. Filho, J. P. de Lima, and L. L. Gonçalves, J. Magn. Magn. Mater. 226-230, 638 (2001).
15. P. Tong and M. Zhong, Physica B 304, 91 (2001).
16. F. Ye, G.-H. Ding, and B.-W. Xu, e-print cond-mat/0105584.
17. M. Arlego, D. C. Cabra, J. E. Drut, and M. D. Grynberg, Phys. Rev. B 67, 144426 (2003).
18. O. Derzhko, J. Phys. A 33, 8627 (2000); Czech. J. Phys. 52, A277 (2002).
19. O. Derzhko, J. Phys. A 33, 8627 (2000); Czech. J. Phys. 52, A277 (2002).
20. D. C. Mattis, The Theory of Magnetism II. Thermodynamics and Statistical Mechanics (Springer-Verlag, Berlin, 1985).
21. H. Braeter and J. M. Kowalski, Physica A 87, 243 (1977).
22. P. Henelius and S. M. Girvin, Phys. Rev. B 57, 11457 (1998).
23. O. V. Derzhko and T. Ye. Krokhmalskii, Visn. L'viv. Univ., Ser. Fiz. (L'viv) 26, 47 (1993) (in Ukrainian); O. Derzhko and T. Krokhmalskii, Ferroelectrics 153, 55 (1994).
24. O. V. Derzhko and T. Ye. Krokhmalskii, Visn. L'viv. Univ., Ser. Fiz. (L'viv) 26, 47 (1993) (in Ukrainian); O. Derzhko and T. Krokhmalskii, Ferroelectrics 153, 55 (1994).
25. J. Slechta, J. Phys. C 10, 2047 (1977).
26. P. Pfeuty, Phys. Lett. 72, 245 (1979).
27. O. Derzhko, J. Richter, and O. Zaburannyi, Physica A 282, 495 (2000).
28. J. P. de Lima and L. L. Gonçalves, J. Magn. Magn. Mater. 206, 135 (1999).
29. G. S. Joyce, Phys. Rev. Lett. 155, 478 (1967).
30. P. Kumar, D. Hall, and R. G. Goodrich, Phys. Rev, Lett. 82, 4532 (1999); P. Kumar, e-print cond-mat/0207373.
31. P. Kumar, D. Hall, and R. G. Goodrich, Phys. Rev, Lett. 82, 4532 (1999); P. Kumar, e-print cond-mat/0207373.
32. O. Derzhko and T. Krokhmalskii, Phys. Rev. B 56, 11659 (1997); Phys. Status Solidi B 208, 221 (1998).
33. O. Derzhko and T. Krokhmalskii, Phys. Rev. B 56, 11659 (1997); Phys. Status Solidi B 208, 221 (1998).
34. O. Derzhko, J. Richter, T. Krokhmalskii, and O. Zaburannyi, Phys. Rev. B 66, 144401 (2002); Acta Phys. Pol. B B34, 1387 (2003).
35. O. Derzhko, J. Richter, T. Krokhmalskii, and O. Zaburannyi, Phys. Rev. B 66, 144401 (2002); Acta Phys. Pol. B B34, 1387 (2003).
36. S.-K. Ma, Modern Theory of Critical Phenomena (Addison-Wesley, Reading, MA, 1976).
37. P. Pincus, Solid State Commun, 9, 1971 (1971).
38. J. H. Taylor and G. Müller, Physica A 130, 1 (1985).
39. n=0) and assuming I to be a free parameter (in such a case, e.g., the quantum phase transition is driven by tuning the exchange interaction I rather than the transverse field Ω) we recover the "violated" symmetry between transverse field and exchange interaction.