Crossover from Poisson to Wigner-Dyson level statistics in spin chains with integrability breaking

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 5, 2004, Pages

  Rabson, D A ^a   Narozhny, B N ^b   Millis, A J ^c  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c Howard Hughes Medical Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; CHAOTIC DYNAMICS; CROSSOVER PROCEDURE; ENERGY; MATHEMATICAL ANALYSIS; MEASUREMENT; QUANTUM MECHANICS; STATISTICAL ANALYSIS; THERMODYNAMICS;

EID: 1642272194     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.054403     Document Type: Article

References (24)

1. M.L. Mehta, Random Matrices (Academic, New York, 1991).
2. R.J. Baxter, Exactly Solvable Models in Statistical Mechanics (Academic, New York, 1982).
3. C.W.J. Beenakker Rev. Mod. Phys. 69, 731 (1997);
4. T. Guhr, A. Müller-Groeling, and H.A. Weidenmüller, Phys. Rep. 299, 189 (1998).
5. M. Faas, B.D. Simons, X. Zotos, and B.L. Altshuler, Phys. Rev. B 48, 5439 (1993).
6. X. Zotos and P. Prelovsek, Phys. Rev. B 53, 983 (1996).
7. X. Zotos, F. Naef, and P. Prelovsek, Phys. Rev. B 55, 11 029 (1997);
8. H. Castella, X. Zotos, and P. Prelovsek, Phys. Rev. Lett. 74, 972 (1995).
9. B.N. Narozhny, A.J. Millis, and N. Andrei, Phys. Rev. B 58, R2921 (1998).
10. P.H. Song and D.L. Shepelyansky, Phys. Rev. B 61, 15 546 (2000).
11. R. Berkovits and Y. Avishai, J. Phys.: Condens. Matter 8, 389 (1996);
12. Y. Avishai, J. Richert, and R. Berkovits, Phys. Rev. B 66, 052416 (2002).
13. M. DiStasio and X. Zotos, Phys. Rev. Lett. 74, 2050 (1995).
14. K. Kudo and T. Deguchi, Phys. Rev. B 68, 052510 (2003).
15. W. Kohn, Phys. Rev. 133, A171 (1964).
16. B.S. Shastry and B. Sutherland, Phys. Rev. Lett. 65, 243 (1990).
17. J. des Cloiseaux and M. Gaudin, J. Math. Phys. 7, 1384 (1966).
18. P. Ginsparg, in Champs, Cordes et Phénomènes Critiques=Fields, Strings, and Critical Phenomena, edited by E. Brézin and J. Zinn-Justin (North-Holland, Amsterdam, 1990).
19. K. Fabricius and B.M. McCoy, Phys. Rev. B 57, 8340 (1997).
20. X. Zotos, Phys. Rev. Lett. 82, 1764 (1999)
21. F. Heidrich-Meisner, A. Honecker, D.C. Cabra, and W. Brenig, Phys. Rev. B 68, 134436 (2003).
22. S. Eggert, Phys. Rev. B 54, R9612 (1996).
23. N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, New York, 1992).
24. E.S. Keeping, Introduction to Statistical Inference (Dover, New York, 1995)