Perturbation theory for the Rosenzweig-Porter matrix model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 2, 1997, Pages 1471-1475

  Altland, Alexander ^a,b   Janssen, Martin ^a   Shapiro, Boris ^c  

^a UNIVERSITY OF COLOGNE   (Germany)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038962813     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.1471     Document Type: Article

References (19)

1. M. L. Mehta, Random Matrices (Academic Press, New York, 1991).
2. For a recent review and references see B. Shapiro, Int. J. Mod. Phys. B 10, 3539 (1996).IJPBEV
3. N. Rosenzweig and C. E. Porter, Phys. Rev. 120, 1698 (1960).PHRVAO
4. Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995).PRLTAO
5. Y. V. Fyodorov and A. D. Mirlin, Phys. Rev. B 52, 11 580 (1995).PRBMDO
6. K. Frahm and A. Müller-Groeling, Europhys. Lett. 32, 395 (1995).EULEEJ
7. D. Weinmann and J.-L. Pichard, Phys. Rev. Lett. 77, 1556 (1996).PRLTAO
8. B. I. Shklovskii et al., Phys. Rev. B 47, 11 487 (1993).PRBMDO
9. A. G. Aronov, V. E. Kravtsov, and I. V. Lerner, Pis’ma Zh. Éksp. Teor. Fiz. 59, 40 (1994) [ JETP Lett. 59, 39 (1994)].JTPLA2
10. J. Verbaarshot, H. A. Weidenmüller, and M. Zirnbauer, Ann. Phys. (N.Y.) 153, 367 (1984).APNYA6
11. A. Altland and Y. Gefen, Phys. Rev. B 51, 10 671 (1995).PRBMDO
12. that the Wigner-Dyson statistics is applicable up to (Formula presented).
13. F. Leyvraz and T. H. Seligman, J. Phys. A 23, 1555 (1990).JPHAC5
14. J. B. French, V. K. Kota, A. Pandey, and S. Tomsovic, Ann. Phys. (N.Y.) 181, 198 (1988).APNYA6
15. K. B. Efetov, Adv. Phys. 32, 53 (1983).ADPHAH
16. Y. V. Fyodorov, in Basic Features of Efetov’s Supersymmetry Approach, Les Houches Session LXI, 1994, edited by E. Akkermans, G. Montambaux, J.-L. Pichard, and J. Zinn-Justin (Elsevier Science B.V., New York, 1996).
17. J. T. Chalker, V. E. Kravtsov, and I. V. Lerner, Pis’ma Zh. Éksp. Teor. Fiz. 64, 355 (1996) [ JETP Lett. 64, 386 (1996)].JTPLA2
18. T. Guhr, Phys. Rev. Lett. 76, 2258 (1996)].PRLTAO
19. T. Guhr and A. Müller-Groeling, J. Math. Phys. 38, 7870 (1997). JMAPAQ