One-dimensional models of disordered quantum wires: General formalism

Journal of Physics A: Mathematical and General

Volumn 39, Issue 46, 2006, Pages 14303-14327

  Rodríguez, Alberto ^a  

^a UNIVERSITY OF SALAMANCA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947216607     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/46/005     Document Type: Article

References (44)

1. Anderson P W 1958 Absence of difussion in certain random lattices Phys. Rev. 109 1492-505
2. Flores J C 1989 Transport in models with correlated diagonal and off-diagonal disorder J. Phys.: Condens. Matter 1 8471-9
3. Dunlap D H, Wu H-L and Phillips P W 1990 Absence of localization in a random-dimer model Phys. Rev. Lett. 65 88-91
4. Snchez A, Maci E and Domínguez-Adame F 1994 Suppression of localization in Kronig-Penney models with correlated disorder Phys. Rev. B 49 147-57
5. Hilke M 1997 Localization properties of the periodic random Anderson model J. Phys. A: Math. Gen. 30 L367-71
6. Izrailev F M and Krokhin A A 1999 Localization and the mobility edge in one-dimensional potentials with correlated disorder Phys. Rev. Lett. 82 4062-5
7. de Moura F A B F and Lyra M L 1998 Delocalization in the 1D Anderson model with long-range correlated disorder Phys. Rev. Lett. 81 3735-8
8. Izrailev F M and Makarov N M 2005 Anomalous transport in low-dimensional systems with correlated disorder J. Phys. A: Math. Gen. 38 10613-37
9. Bellani V, Diez E, Hey R, Tony L, Tarricone L, Parravicini G B, Domínguez-Adame F and Gómez-Alcal R 1999 Experimental evidence of delocalized states in random dimer superlattices Phys. Rev. Lett. 82 2159-62
10. Krokhin A, Izrailev F, Kuhl U, Stöckmann H J and Ulloa S E 2002 Random 1D structures as filters for electrical and optical signals Physica E 13 695-8
11. Kuhl U, Izrailev F M, Krokhin A A and Stöckmann H J 2000 Experimental observation of the mobility edge in a waveguide with correlated disorder Appl. Phys. Lett. 77 633-5
12. Deych L I, Erementchouk M V and Lisyansky A A 2003 Scaling in one-dimensional Anderson localization problem in the region of fluctuation states Phys. Rev. Lett. 90 126601
13. Deych L I, Lisyansky A A and Altshuler B L 2000 Single parameter scaling in one-dimensional localization revisited Phys. Rev. Lett. 84 2678-81
14. Deych L I, Erementchouk M V and Lisyansky A A 2003 Scaling properties of the one-dimensional Anderson model with correlated diagonal disorder Phys. Rev. B 67 024205
15. Ahmed Z 2001 Schrödinger transmission through one-dimensional complex potentials Phys. Rev. A 64 042716
16. Beam J E 1970 Multiple reflection in potential-barrier scattering Am. J. Phys. 38 1395-401
17. Maci E and Domínguez-Adame F 2000 Electrons, phonons and excitons in low dimensional aperiodic systems (Madrid: Editorial Complutense)
18. Izrailev F M, Kottos T and Tsironis G P 1995 Hamiltonian map approach to resonant states in paired correlated binary alloys Phys. Rev. B 52 3274-3279
19. Izrailev F M, Ruffo S and Tessieri L 1998 Classical representation of the one-dimensional Anderson model J. Phys. A: Math. Gen. 31 5263-70
20. Tabor M 1989 Chaos and Integrability in Nonlinear Dynamics: An Introduction (New York: Wiley)
21. Kramer B and MacKinnon A 1993 Localization: theory and experiment Rep. Prog. Phys. 56 1469-564
22. Crisanti A, Paladin G and Vulpiani A 1993 Products of Random Matrices in Statistical Physics (Berlin: Springer)
23. Arnold L 1998 Random Dynamical Systems (Berlin: Springer)
24. Rodríguez A 2005 Quantum wires in one dimension: disorder, electronic transport and dissipation PhD Thesis Universidad de Salamanca (http://www.usal.es/fnl/argon/downloads/Thesis.pdf)
25. Kirkman P D and Pendry J B 1984 The statistics of one-dimensional resistances J. Phys. C: Solid State Phys. 17 4327-44
26. Johnson R and Kunz H 1983 The conductance of a disordered wire J. Phys. C: Solid State Phys. 16 3895-912
27. Canisius J and van Hemmen J L 1985 Localisation of phonons J. Phys. C: Solid State Phys. 18 4873-84
28. Dean P 1972 The vibrational properties of disordered systems: numerical studies Rev. Mod. Phys. 44 127-68
29. Lee P A and Ramakrishnan T V 1985 Disordered electronic systems Rev. Mod. Phys. 57 287-337
30. Dyson F J 1953 The dynamics of a disordered linear chain Phys. Rev. 92 1331-8
31. Schmidt H 1957 Disordered one dimensional crystals Phys. Rev. 105 425-41
32. Agacy R L 1964 The vibrational spectrum of a disordered linear system Proc. Phys. Soc. 83 591-6
33. Borland R E and Bird N F 1964 A calculation of the density of electron states and degree of localization in a one-dimensional liquid model Proc. Phys. Soc. 83 23-9
34. Dean P 1964 Vibrations of glass-like disordered chains Proc. Phys. Soc. 84 727-44
35. Agacy R L and Borland R E 1964 The electronic structure of a one dimensional random alloy Proc. Phys. Soc. 84 1017-26
36. Gubernatis J E and Taylor P L 1971 Special aspects of the electronic structure of a onedimensional random alloy J. Phys. C: Solid State Phys. 4 L94-6
37. Cerveró J M and Rodríguez A 2002 Infinite chain of N different deltas: a simple model for a quantum wire Eur. Phys. J. B 30 239-51
38. Cerveró J M and Rodríguez A 2003 Simple model for a quantum wire: II. Statistically correlated disorder Eur. Phys. J. B 32 537-43
39. Cerveró J M and Rodríguez A 2005 Simple model for a quantum wire: III. Transmission in finite samples with correlated disorder Eur. Phys. J. B 43 543-8
40. Cerveró J M and Rodríguez A 2004 Absorption in atomic wires Phys. Rev. A 70 052705
41. Rodríguez A and Cerveró J M 2005 Continuum of extended states in the spectrum of a one-dimensional random potential Phys. Rev. B 72 193312
42. Rodríguez A and Cerveró J M 2006 One-dimensional disordered wires with Pöschl-Teller potentials Phys. Rev. B 74 104201
43. Muga J G, Palao J P, Navarrro B and Egusquiza I L 2004 Complex absorbing potentials Phys. Rep. 395 357-426
44. James H and Ginzbarg A 1953 Band structure in disordered alloys and impurity semiconductors J. Phys. Chem. 57 840-8