Duality between the weak and strong interaction limits for randomly interacting fermions

Physical Review Letters

Volumn 89, Issue 13, 2002, Pages 1341011-1341014

  Jacquod, Philippe ^a   Varga, Imre ^b,c  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^c PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC DENSITY OF STATES; ENTROPY; HAMILTONIANS; MATRIX ALGEBRA; QUASICRYSTALS; RANDOM PROCESSES;

RANDOMLY INTERACTING FERMIONS;

FERMIONS;

EID: 0037163824     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/physrevlett.89.134101     Document Type: Article

References (32)

1. S. Åberg, Phys. Rev. Lett. 64, 3119 (1990); Ph. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997); B. Georgeot and D.L. Shepelyansky, Phys. Rev. Lett. 79, 4365 (1997).
2. S. Åberg, Phys. Rev. Lett. 64, 3119 (1990); Ph. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997); B. Georgeot and D.L. Shepelyansky, Phys. Rev. Lett. 79, 4365 (1997).
3. S. Åberg, Phys. Rev. Lett. 64, 3119 (1990); Ph. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997); B. Georgeot and D.L. Shepelyansky, Phys. Rev. Lett. 79, 4365 (1997).
4. D. Kusnezov et al., Phys. Lett. B 385, 5 (1996).
5. Ph. Jacquod, Phys. Rev. Lett. 81, 1913 (1998); R. Berkovits and B.I. Shklovskii, J. Phys. Condens. Matter 11, 779 (1999).
6. Ph. Jacquod, Phys. Rev. Lett. 81, 1913 (1998); R. Berkovits and B.I. Shklovskii, J. Phys. Condens. Matter 11, 779 (1999).
7. X. Waintal et al., Eur. Phys. J. B 7, 451 (1999).
8. P.H. Song, Phys. Rev. E 62, R7575 (2000).
9. V.K.B. Kota and R. Sahu, Phys. Rev. E 64, 016219 (2001).
10. V.V. Flambaum et al., Phys. Rev. A 50, 267 (1994).
11. V. Zelevinsky et al., Phys. Rep. 276, 85 (1996).
12. B.L. Altshuler et al., Phys. Rev. Lett. 78, 2803 (1997); A.D. Mirlin and Y.V. Fyodorov, Phys. Rev. B 56, 13 393 (1997); C. Mejia-Monasterio et al., Phys. Rev. Lett. 81, 5189 (1998); X. Leyronas et al., Phys. Rev. Lett. 82, 4894 (1999).
13. B.L. Altshuler et al., Phys. Rev. Lett. 78, 2803 (1997); A.D. Mirlin and Y.V. Fyodorov, Phys. Rev. B 56, 13 393 (1997); C. Mejia-Monasterio et al., Phys. Rev. Lett. 81, 5189 (1998); X. Leyronas et al., Phys. Rev. Lett. 82, 4894 (1999).
14. B.L. Altshuler et al., Phys. Rev. Lett. 78, 2803 (1997); A.D. Mirlin and Y.V. Fyodorov, Phys. Rev. B 56, 13 393 (1997); C. Mejia-Monasterio et al., Phys. Rev. Lett. 81, 5189 (1998); X. Leyronas et al., Phys. Rev. Lett. 82, 4894 (1999).
15. B.L. Altshuler et al., Phys. Rev. Lett. 78, 2803 (1997); A.D. Mirlin and Y.V. Fyodorov, Phys. Rev. B 56, 13 393 (1997); C. Mejia-Monasterio et al., Phys. Rev. Lett. 81, 5189 (1998); X. Leyronas et al., Phys. Rev. Lett. 82, 4894 (1999).
16. J.B. French and S.S.M. Wong, Phys. Lett. 33B, 447 (1970); 35B, 5 (1971); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971).
17. J.B. French and S.S.M. Wong, Phys. Lett. 33B, 447 (1970); 35B, 5 (1971); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971).
18. J.B. French and S.S.M. Wong, Phys. Lett. 33B, 447 (1970); 35B, 5 (1971); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971).
19. J.B. French and S.S.M. Wong, Phys. Lett. 33B, 447 (1970); 35B, 5 (1971); O. Bohigas and J. Flores, Phys. Lett. 34B, 261 (1971); 35B, 383 (1971).
20. T.A. Brody et al., Rev. Mod. Phys. 53, 385 (1981).
21. V.V. Flambaum et al., Phys. Rev. E 53, 5729 (1996); V.K.B. Kota, Phys. Rep. 347, 223 (2001).
22. V.V. Flambaum et al., Phys. Rev. E 53, 5729 (1996); V.K.B. Kota, Phys. Rep. 347, 223 (2001).
23. See, e.g., L. Kaplan and T. Papenbrock, Phys. Rev. Lett. 84, 4553 (2000); J. Flores et al., Phys. Rev. E 63, 026204 (2001); and [11]. Note that it has recently been suggested that deviations could appear for very large number of particles: L. Benet, T. Rupp, and H.A. Weidenmüller, Phys. Rev. Lett. 87, 010601 (2001).
24. See, e.g., L. Kaplan and T. Papenbrock, Phys. Rev. Lett. 84, 4553 (2000); J. Flores et al., Phys. Rev. E 63, 026204 (2001); and [11]. Note that it has recently been suggested that deviations could appear for very large number of particles: L. Benet, T. Rupp, and H.A. Weidenmüller, Phys. Rev. Lett. 87, 010601 (2001).
25. See, e.g., L. Kaplan and T. Papenbrock, Phys. Rev. Lett. 84, 4553 (2000); J. Flores et al., Phys. Rev. E 63, 026204 (2001); and [11]. Note that it has recently been suggested that deviations could appear for very large number of particles: L. Benet, T. Rupp, and H.A. Weidenmüller, Phys. Rev. Lett. 87, 010601 (2001).
26. V.V. Flambaum and F.M. Izrailev, Phys. Rev. E 56, 5144 (1997).
27. Ph. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995).
28. I. Varga and Ph. Jacquod (to be published).
29. J. Pipek and I. Varga, Phys. Rev. A 46, 3148 (1992); the entropy has been used to measure the complexity of many-body eigenstates, e.g., in Ref. [7]; see also Refs. [8, 12].
30. I. Varga et al., Phys. Rev. B 46, 4978 (1992).
31. S. Aubry and G. André, Ann. Isr. Phys. Soc. 3, 133 (1979).
32. F. Gebhard et al., Phys. Rev. B 49, 10926 (1994).