Amplification and disorder effects in a Kronig-Penney chain of active potentials

Journal of Physics Condensed Matter

Volumn 10, Issue 11, 1998, Pages 2405-2416

  Zekri, N ^a,b   Bahlouli, H ^a,c   Sen, Asok K ^a,d  

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

^b UNIVERSITÉ DES SCIENCES ET DE LA TECHNOLOGIE D ORAN MOHAMED BOUDIAF   (Algeria)

^c KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^d SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043054648     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/10/11/005     Document Type: Article

References (24)

1. Hatano N and Nelson D R 1996 Phys. Rev. Lett. 77 570 See Hatano N and Nelson D R 1997 Phys. Rev. B 56 8651 for further details.
2. Hatano N and Nelson D R 1996 Phys. Rev. Lett. 77 570 See Hatano N and Nelson D R 1997 Phys. Rev. B 56 8651 for further details.
3. Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1997 Phys. Rev. Lett. 79 557 Janik R A, Nowak M A, Papp G and Zahed I 1996 Phys. Rev. Lett. 77 4876 Janik R A, Nowak M A, Papp G and Zahed I 1997 Nucl. Phys. B 501 603 Feinberg J and Zee A 1997 Nucl. Phys. B 501 543 Brezin E and Zee A 1997 Nucl. Phys. B 504 579
4. Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1997 Phys. Rev. Lett. 79 557 Janik R A, Nowak M A, Papp G and Zahed I 1996 Phys. Rev. Lett. 77 4876 Janik R A, Nowak M A, Papp G and Zahed I 1997 Nucl. Phys. B 501 603 Feinberg J and Zee A 1997 Nucl. Phys. B 501 543 Brezin E and Zee A 1997 Nucl. Phys. B 504 579
5. Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1997 Phys. Rev. Lett. 79 557 Janik R A, Nowak M A, Papp G and Zahed I 1996 Phys. Rev. Lett. 77 4876 Janik R A, Nowak M A, Papp G and Zahed I 1997 Nucl. Phys. B 501 603 Feinberg J and Zee A 1997 Nucl. Phys. B 501 543 Brezin E and Zee A 1997 Nucl. Phys. B 504 579
6. Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1997 Phys. Rev. Lett. 79 557 Janik R A, Nowak M A, Papp G and Zahed I 1996 Phys. Rev. Lett. 77 4876 Janik R A, Nowak M A, Papp G and Zahed I 1997 Nucl. Phys. B 501 603 Feinberg J and Zee A 1997 Nucl. Phys. B 501 543 Brezin E and Zee A 1997 Nucl. Phys. B 504 579
7. Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1997 Phys. Rev. Lett. 79 557 Janik R A, Nowak M A, Papp G and Zahed I 1996 Phys. Rev. Lett. 77 4876 Janik R A, Nowak M A, Papp G and Zahed I 1997 Nucl. Phys. B 501 603 Feinberg J and Zee A 1997 Nucl. Phys. B 501 543 Brezin E and Zee A 1997 Nucl. Phys. B 504 579
8. Pradhan P and Kumar N 1994 Phys. Rev. B 50 9644
9. Freilikher V, Pustilnik M and Yurkevich I 1994 Phys. Rev. Lett. 73 810 Freilikher V, Pustilnik M and Yurkevich I 1996 Phys. Rev. B 53 7413
10. Freilikher V, Pustilnik M and Yurkevich I 1994 Phys. Rev. Lett. 73 810 Freilikher V, Pustilnik M and Yurkevich I 1996 Phys. Rev. B 53 7413
11. Beenakker C W, Paasschens J C J and Brouwer P W 1996 Phys. Rev. Lett. 76 1368
12. Zhang Z Q 1995 Phys. Rev. B 52 7960
13. Gupta A K and Jayannavar A M 1995 Phys. Rev. B 52 4156
14. Sen A K 1996 Mod. Phys. Lett. B 10 125 Sen A K 1995 ICTP Preprint IC/95/391 It was shown in this later article both analytically and numerically that the asymptotic decay constants are identical for an absorbing and an amplifying chain with the same magnitude for the strength of the non-Hermitian term. This somewhat surprising duality between the amplifying and the absorbing (ordered) cases was confirmed later in the following article: Paasschens J C J, Misirpashaev T Sh and Beenakker C W J 1996 Phys. Rev. B 54 11 887
15. Sen A K 1996 Mod. Phys. Lett. B 10 125 Sen A K 1995 ICTP Preprint IC/95/391 It was shown in this later article both analytically and numerically that the asymptotic decay constants are identical for an absorbing and an amplifying chain with the same magnitude for the strength of the non-Hermitian term. This somewhat surprising duality between the amplifying and the absorbing (ordered) cases was confirmed later in the following article: Paasschens J C J, Misirpashaev T Sh and Beenakker C W J 1996 Phys. Rev. B 54 11 887
16. Sen A K 1996 Mod. Phys. Lett. B 10 125 Sen A K 1995 ICTP Preprint IC/95/391 It was shown in this later article both analytically and numerically that the asymptotic decay constants are identical for an absorbing and an amplifying chain with the same magnitude for the strength of the non-Hermitian term. This somewhat surprising duality between the amplifying and the absorbing (ordered) cases was confirmed later in the following article: Paasschens J C J, Misirpashaev T Sh and Beenakker C W J 1996 Phys. Rev. B 54 11 887
17. Genack A Z and Drack D M 1994 Nature 368 400 Lawandy N M, Balachandran R M, Gomes A S L and Sauvin E 1994 Nature 368 436 Wiersma D S, van Albada M P and Lagendijk A 1995 Phys. Rev. Lett. 75 1739
18. Genack A Z and Drack D M 1994 Nature 368 400 Lawandy N M, Balachandran R M, Gomes A S L and Sauvin E 1994 Nature 368 436 Wiersma D S, van Albada M P and Lagendijk A 1995 Phys. Rev. Lett. 75 1739
19. Genack A Z and Drack D M 1994 Nature 368 400 Lawandy N M, Balachandran R M, Gomes A S L and Sauvin E 1994 Nature 368 436 Wiersma D S, van Albada M P and Lagendijk A 1995 Phys. Rev. Lett. 75 1739
20. Bellisard J, Formoso A, Lima R and Testardi D 1982 Phys. Rev. B 26 3204
21. Okbani Z, Ouasti R and Zekri N 1996 Physica A 234 38 and references therein
22. Sen A K 1997 ICTP Preprint IC/97/130 See also Sen A K 1997 Preprint cond-mat/9710300
23. Sen A K 1997 ICTP Preprint IC/97/130 See also Sen A K 1997 Preprint cond-mat/9710300
24. Soukoulis C M, José J V, Economou E N and Sheng P 1983 Phys. Rev. Lett. 50 764