Localization transition in incommensurate non-Hermitian systems

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

Volumn 63, Issue 3, 2001, Pages

  Jazaeri, Amin ^a   Satija, Indubala I ^a  

^a George Mason University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS;

LOCALIZATION TRANSITION;

QUANTUM THEORY;

EID: 4243535508     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.036222     Document Type: Article

References (21)

1. P. G. Harper, Proc. Phys. Soc., London, Sect. A 68, 874 (1955).
2. For a review, see J. B. Sokoloff, Phys. Rep. 126, 189 (1985).
3. C. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
4. N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996);
5. N. HatanoD. R. NelsonPhys. Rev. B 56, 8651 (1997).
6. P.G. Silvestrov, Phys. Rev. Lett. 82, 3140 (1999);
7. P.G. Silvestrove-print, cond-mat/9804093.
8. M. V. Berry, J. Phys. A 31, 3493 (1998);
9. J. Phys. AM. Berry and O. Dell, 31, 2093 (1998).
10. K. Keller, M. K. Obertaler, S. Bernet, R. Abfalterer, J. Schmiedmayer, and A. Zeilinger, Phys. Rev. Lett. 79, 3327 (1997);
11. Phys. Rev. Lett.K. KellerM. K. ObertalerS. BernetR. AbfaltererJ. SchmiedmayerA. Zeilinger77, 4980 (1996).
12. K. Schaadt and A. Kudrolli, Phys. Rev. E 60, 7203 (1999).
13. D. Ferry and J. R. Barker, Appl. Phys. Lett. 74, 582 (1999).
14. S. Aubry and G. André, Ann. Isr. Phys. Soc. 3, 133 (1980).
15. J. Ketoja and I. Satija, Phys. Rev. Lett. 75, 2762 (1995).
16. Ben Mestel, Andy Osbaldestin, and B. Winn (unpublished).
17. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961);
18. I. I. Satija, Phys. Rev. B 48, 3511 (1993);
19. Phys. Rev. BI. I. Satija49, 3391 (1994).
20. A. Bondeson, E. Ott, and T. M. Antonsen, Phys. Rev. Lett. 55, 2103 (1985);
21. J. Ketoja and I. Satija, Physica D 1761, 1 (1997).