Level statistics in a Heisenberg chain with random magnetic field

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 5, 2002, Pages 524161-524164

  Avishai, Y ^a,b   Richert, J ^b   Berkovits, R ^c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITÉ DE STRASBOURG   (France)

^c BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; CALCULATION; ELECTRON; MAGNETIC FIELD; NORMAL DISTRIBUTION; STATISTICS; THEORY; TIME; VARIANCE;

EID: 0036694665     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.052416     Document Type: Article

References (18)

1. E. P. Wigner, Ann. Phys. (N.Y.) 53, 36 (1951); 62, 548 (1955); 67, 325 (1958); F. J. Dyson, J. Math. Phys. 3, 140 (1962); M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1967).
2. E. P. Wigner, Ann. Phys. (N.Y.) 53, 36 (1951); 62, 548 (1955); 67, 325 (1958); F. J. Dyson, J. Math. Phys. 3, 140 (1962); M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1967).
3. E. P. Wigner, Ann. Phys. (N.Y.) 53, 36 (1951); 62, 548 (1955); 67, 325 (1958); F. J. Dyson, J. Math. Phys. 3, 140 (1962); M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1967).
4. E. P. Wigner, Ann. Phys. (N.Y.) 53, 36 (1951); 62, 548 (1955); 67, 325 (1958); F. J. Dyson, J. Math. Phys. 3, 140 (1962); M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1967).
5. E. P. Wigner, Ann. Phys. (N.Y.) 53, 36 (1951); 62, 548 (1955); 67, 325 (1958); F. J. Dyson, J. Math. Phys. 3, 140 (1962); M. L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1967).
6. G. M. Eliashberg and L. P. Gorkov, Zh. Éksp. Teor. Fiz. 48, 1407 (1965) [Sov. Phys. JETP 21, 940 (1965)]; K. Efetov, Adv. Phys. 32, 53 (1983); B. L. Altshuler and B. I. Shklovski, Zh. Éksp. Teor. Fiz. 91, 220 (1986) [Sov. Phys. JETP 64, 127 (1985)].
7. G. M. Eliashberg and L. P. Gorkov, Zh. Éksp. Teor. Fiz. 48, 1407 (1965) [Sov. Phys. JETP 21, 940 (1965)]; K. Efetov, Adv. Phys. 32, 53 (1983); B. L. Altshuler and B. I. Shklovski, Zh. Éksp. Teor. Fiz. 91, 220 (1986) [Sov. Phys. JETP 64, 127 (1985)].
8. G. M. Eliashberg and L. P. Gorkov, Zh. Éksp. Teor. Fiz. 48, 1407 (1965) [Sov. Phys. JETP 21, 940 (1965)]; K. Efetov, Adv. Phys. 32, 53 (1983); B. L. Altshuler and B. I. Shklovski, Zh. Éksp. Teor. Fiz. 91, 220 (1986) [Sov. Phys. JETP 64, 127 (1985)].
9. O. Bohigas, M. J. Giannoni, and C. Schimt, Phys. Rev. Lett. 52, 1 (1984).
10. G. Montambaux, D. Poilblanc, J. Bellissard, and C. Sire, Phys. Rev. Lett. 70, 497 (1993); D. Poilblanc, T. Ziman, J. Bellissard, F. Mila, and G. Montambaux, Europhys. Lett. 22, 537 (1993).
11. G. Montambaux, D. Poilblanc, J. Bellissard, and C. Sire, Phys. Rev. Lett. 70, 497 (1993); D. Poilblanc, T. Ziman, J. Bellissard, F. Mila, and G. Montambaux, Europhys. Lett. 22, 537 (1993).
12. R. Berkovits and Y. Avishai, J. Phys.: Condens. Matter 8, 389 (1996).
13. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 1997).
14. Estelle L. Basor, Craig A. Tracy, and H. Widom, Phys. Rev. Lett. 69, 5 (1992).
15. U. Grimm, R. A. Römer, M. Schreiber, and J. X. Zhong, cond-mat/9908063 (unpublished).
16. M. Schreiber, U. Grimm, R. A. Römer, and J. X. Zhong, cond-mat/9809370 (unpublished).
17. C. Herring, in Magnetism, edited by G. T. Rado and H. Suhl (Academic Press, NY, 1966), Vol. 2b.
18. E. Brezin and S. Hikami, Phys. Rev. E 58, 7176 (1998).