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By using the recursion relation of discrete Schrödinger equation we investigate the transport properties of nonlinear chains with random dimer nonlinearity parameters. It is shown that there is a resonance state, which is just the product of the nonlinearity and the square of the incident wave amplitude modulus. The transmission coefficients are calculated in two conditions. One is that the transmission wave amplitude is a certain value, the other is that the incident wave amplitude modulus is a certain value. There are obvious differences in non-resonant states between the two kinds of conditions. The transmission is a single value function of the electronic energy for the former. However, it will be multi-stability for the latter. It is pointed out that the influence of the nonlinearity parameters on the transport properties can be exactly reflected only when the modulus of incident wave is set to be a certain value.
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Keywords:
- disordered structures /
- delocalization processes /
- multistability
[1] Anderson P W 1958 Phys. Rev. 109 1492
[2] Abrahams E, Anderson P W, Licciardello D C, Ramakrishnan T V 1979 Phys. Rev. Lett. 42 673
[3] Dunlap D, Wu H L, Philips P W 1990 Phys. Rev. Lett. 65 88
[4] Xiong S J 1993 Appl. Phys. Lett. 63 81
[5] Ojeda P, Huerta-Quintanilla R, Rodríguez-Achach M 2002 Phys. Rev. B 65 233102
[6] Sedrakyan T 2004 Phys. Rev. B 69 085109
[7] de Moura F A B F, Lyra M L 1998 Phys. Rev. Lett. 81 3735
[8] Zhang G P, Xiong S J 2002 Eur. Phys. J. B 29 491
[9] Kivshar Y S, Gredeskul S A, Sánchez A, Vásquez L 1990 Phys. Rev. Lett. 64 1693
[10] Hu D S, Lu X J, Zhang Y M, Zhu C P 2009 Chin. Phys. B 18 2498
[11] Hu D S, Zhu C P, Zhang Y M 2011 Chin. Phys. B 20 017104
[12] Molina M I, Tsinoris G P 1994 Phys. Rev. Lett. 73 464
[13] Kottos T, Weiss M 2004 Phys. Rev. Lett. 93 190604
[14] Davids P S 1995 Phys. Rev. B 52 4146
[15] Liu X L, Xu H, Ma S S, Song Z Q 2006 Acta Phys. Sin. 55 2949 (in Chinese) [刘小良, 徐慧, 马松山, 宋招权 2006 55 2949]
[16] Bellani V, Diez E, Hey P, Toni L, Tarńcone L, Parravicini G B, Dominguez-Adame F, Gómez-Alcala R 1999 Phys. Rev. Lett. 82 2159
[17] Hostein T 1959 Ann. Phys. (N. Y.) 8 325
[18] Trombettoni A, Smerzi A 2001 Phys. Rev. Lett. 86 2353
[19] Hopkins V A, Keat J, Meegan G D, Zhang T M, Maynard J D 1996 Phys. Rev. Lett. 76 1102
[20] Molina M I 1998 Phys. Rev. B 58 12547
[21] Senouci K, Zekri N 2000 Phys. Rev. B 62 2987
[22] Cota E C, José J V, Maytorena J, Monsivais G 1995 Phys. Rev. Lett. 74 3302
[23] Senouci K, Zekri N, Bahlouli H, Sen A K 1999 J. Phys.: Condens. Matter 11 1823
[24] García-Mata I, Shepelyansky D L 2009 Phys. Rev. E 79 026205
[25] Zhang Z J, Tong P Q, Gong J B, Li B W 2011 Phys. Rev. E 83 056205
[26] Delyon F, Lévy Y E, Souillard B 1986 Phys. Rev. Lett. 57 2010
[27] Cota E, José J V, Maytorena J, Monsivais G 1995 Phys. Rev. Lett. 74 3302
[28] Shadrivov I V, Bliokh K Y, Bliokh Y P, Freilikher V, Kivshar Y S 2010 Phys. Rev. Lett. 104 123902
[29] Datta P K 2007 Phys. Rev. B 75 205127
[30] Senouci K 2007 J. Phys.: Condens. Matter 19 076202
[31] Senouci K 2010 Physica B 405 694
-
[1] Anderson P W 1958 Phys. Rev. 109 1492
[2] Abrahams E, Anderson P W, Licciardello D C, Ramakrishnan T V 1979 Phys. Rev. Lett. 42 673
[3] Dunlap D, Wu H L, Philips P W 1990 Phys. Rev. Lett. 65 88
[4] Xiong S J 1993 Appl. Phys. Lett. 63 81
[5] Ojeda P, Huerta-Quintanilla R, Rodríguez-Achach M 2002 Phys. Rev. B 65 233102
[6] Sedrakyan T 2004 Phys. Rev. B 69 085109
[7] de Moura F A B F, Lyra M L 1998 Phys. Rev. Lett. 81 3735
[8] Zhang G P, Xiong S J 2002 Eur. Phys. J. B 29 491
[9] Kivshar Y S, Gredeskul S A, Sánchez A, Vásquez L 1990 Phys. Rev. Lett. 64 1693
[10] Hu D S, Lu X J, Zhang Y M, Zhu C P 2009 Chin. Phys. B 18 2498
[11] Hu D S, Zhu C P, Zhang Y M 2011 Chin. Phys. B 20 017104
[12] Molina M I, Tsinoris G P 1994 Phys. Rev. Lett. 73 464
[13] Kottos T, Weiss M 2004 Phys. Rev. Lett. 93 190604
[14] Davids P S 1995 Phys. Rev. B 52 4146
[15] Liu X L, Xu H, Ma S S, Song Z Q 2006 Acta Phys. Sin. 55 2949 (in Chinese) [刘小良, 徐慧, 马松山, 宋招权 2006 55 2949]
[16] Bellani V, Diez E, Hey P, Toni L, Tarńcone L, Parravicini G B, Dominguez-Adame F, Gómez-Alcala R 1999 Phys. Rev. Lett. 82 2159
[17] Hostein T 1959 Ann. Phys. (N. Y.) 8 325
[18] Trombettoni A, Smerzi A 2001 Phys. Rev. Lett. 86 2353
[19] Hopkins V A, Keat J, Meegan G D, Zhang T M, Maynard J D 1996 Phys. Rev. Lett. 76 1102
[20] Molina M I 1998 Phys. Rev. B 58 12547
[21] Senouci K, Zekri N 2000 Phys. Rev. B 62 2987
[22] Cota E C, José J V, Maytorena J, Monsivais G 1995 Phys. Rev. Lett. 74 3302
[23] Senouci K, Zekri N, Bahlouli H, Sen A K 1999 J. Phys.: Condens. Matter 11 1823
[24] García-Mata I, Shepelyansky D L 2009 Phys. Rev. E 79 026205
[25] Zhang Z J, Tong P Q, Gong J B, Li B W 2011 Phys. Rev. E 83 056205
[26] Delyon F, Lévy Y E, Souillard B 1986 Phys. Rev. Lett. 57 2010
[27] Cota E, José J V, Maytorena J, Monsivais G 1995 Phys. Rev. Lett. 74 3302
[28] Shadrivov I V, Bliokh K Y, Bliokh Y P, Freilikher V, Kivshar Y S 2010 Phys. Rev. Lett. 104 123902
[29] Datta P K 2007 Phys. Rev. B 75 205127
[30] Senouci K 2007 J. Phys.: Condens. Matter 19 076202
[31] Senouci K 2010 Physica B 405 694
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