Scaling theory of phase-coherent metallic conductors
作者： A. M. S. Macêdo
DOI: 10.1103/PHYSREVB.66.033306
关键词: Crossover 、 Electrical conductor 、 Network analysis 、 Conjecture 、 Conductor 、 Non-linear sigma model 、 Metal 、 Physics 、 Quantum mechanics 、 Phase (waves)
摘要: We present a scaling theory for describing the smooth crossover from ballistic to diffusive transport in phase-coherent metallic conductors. The confirms recent conjecture by Beenakker [Rev. Mod. Phys. 69, 731 (1997)], and represents substantial improvement two-terminal version of Nazarov's circuit [Phys. Rev. Lett. 73, 134 (1994); 1420 (1994)]. In addition, our approach allows explicit inclusion interfaces arbitrary transparency, which are described using supersymmetric nonlinear σ model. problem two identical barriers separated conductor is solved exactly, expressions both normal Andreev conductances presented.
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sci-hub.se 参考文章(15)
D.J. Thouless, Electrons in disordered systems and the theory of localization Physics Reports. ,vol. 13, pp. 93- 142 ,(1974) , 10.1016/0370-1573(74)90029-5
E. Abrahams, P. W. Anderson, D. C. Licciardello, T. V. Ramakrishnan, Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions Physical Review Letters. ,vol. 42, pp. 673- 676 ,(1979) , 10.1103/PHYSREVLETT.42.673
Elihu Abrahams, Scaling at the metal–insulator transition in two dimensions Physica E-low-dimensional Systems & Nanostructures. ,vol. 3, pp. 69- 78 ,(1998) , 10.1016/S1386-9477(98)00220-3
P.A Mello, P Pereyra, N Kumar, Macroscopic approach to multichannel disordered conductors Annals of Physics. ,vol. 181, pp. 290- 317 ,(1988) , 10.1016/0003-4916(88)90169-8
Pier A. Mello, Jean-Louis Pichard, Maximum-entropy approaches to quantum electronic transport Physical Review B. ,vol. 40, pp. 5276- 5278 ,(1989) , 10.1103/PHYSREVB.40.5276
C. W. J. Beenakker, B. Rejaei, J. A. Melsen, Scaling theory of conduction through a normal-superconductor microbridge. Physical Review Letters. ,vol. 72, pp. 2470- 2473 ,(1994) , 10.1103/PHYSREVLETT.72.2470
C. W. J. Beenakker, Random-matrix theory of quantum transport Reviews of Modern Physics. ,vol. 69, pp. 731- 808 ,(1997) , 10.1103/REVMODPHYS.69.731
Yu. V. Nazarov, Limits of universality in disordered conductors. Physical Review Letters. ,vol. 73, pp. 134- 137 ,(1994) , 10.1103/PHYSREVLETT.73.134
Yuli V. Nazarov, Circuit theory of Andreev conductance. Physical Review Letters. ,vol. 73, pp. 1420- 1423 ,(1994) , 10.1103/PHYSREVLETT.73.1420
Yuli V. Nazarov, Novel circuit theory of Andreev reflection Superlattices and Microstructures. ,vol. 25, pp. 1221- 1231 ,(1999) , 10.1006/SPMI.1999.0738