Active Transmission Channels and Universal Conductance Fluctuations

作者: Y Imry

DOI: 10.1209/0295-5075/1/5/008

关键词: Random matrixUniversality (dynamical systems)Statistical physicsElectrical resistivity and conductivitySpectral lineEigenvalues and eigenvectorsUniversal conductance fluctuationsPhysicsConductanceTransmission channel

摘要: The transport through a segment of disordered system is determined by the eigenvalues large random matrix. effectively independent active transmission channels are associated with these which closest to unity. A decreasing number those survives when system's length increases. They determine conductance and its fluctuations, found be independent, within broad limits, size, disorder nature system. This universality due strong correlations in spectra matrices, providing new insight on generalizing extremely interesting recent results Altschuler, Lee Stone.

参考文章(10)
R. F. Kwasnick, M. A. Kastner, J. Melngailis, P. A. Lee, Nonmonotonic Variations of the Conductance with Electron Density in ∼70-nm-Wide Inversion Layers Physical Review Letters. ,vol. 52, pp. 224- 227 ,(1984) , 10.1103/PHYSREVLETT.52.224
V. Chandrasekhar, M. J. Rooks, S. Wind, D. E. Prober, Observation of Aharonov-Bohm electron interference effects with periods h/e and h/2e in individual micron-size, normal-metal rings. Physical Review Letters. ,vol. 55, pp. 1610- 1613 ,(1985) , 10.1103/PHYSREVLETT.55.1610
Yuval Gefen, Yoseph Imry, M. Ya. Azbel, Quantum Oscillations and the Aharonov-Bohm Effect for Parallel Resistors Physical Review Letters. ,vol. 52, pp. 129- 132 ,(1984) , 10.1103/PHYSREVLETT.52.129
R. A. Webb, S. Washburn, C. P. Umbach, R. B. Laibowitz, Observation of h/e Aharonov-Bohm oscillations in normal-metal rings. Physical Review Letters. ,vol. 54, pp. 2696- 2699 ,(1985) , 10.1103/PHYSREVLETT.54.2696
W. J. Skocpol, L. D. Jackel, E. L. Hu, R. E. Howard, L. A. Fetter, One-Dimensional Localization and Interaction Effects in Narrow (0.1-μm) Silicon Inversion Layers Physical Review Letters. ,vol. 49, pp. 951- 955 ,(1982) , 10.1103/PHYSREVLETT.49.951
S K Sinha, P Vora, P Dutta, L Passell, Studies of the melting of a 2D solid Journal of Physics C: Solid State Physics. ,vol. 15, pp. 003- ,(1982) , 10.1088/0022-3719/15/10/003
C. P. Umbach, S. Washburn, R. B. Laibowitz, R. A. Webb, Magnetoresistance of Small, Quasi-One-Dimensional, Normal-Metal Rings and Lines Physical Review B. ,vol. 30, pp. 4048- 4051 ,(1984) , 10.1103/PHYSREVB.30.4048
R. G. Wheeler, K. K. Choi, A. Goel, R. Wisnieff, D. E. Prober, Localization and Electron-Electron Interaction Effects in Submicron-Width Inversion Layers Physical Review Letters. ,vol. 49, pp. 1674- 1677 ,(1982) , 10.1103/PHYSREVLETT.49.1674
Yoseph Imry, Physics of Mesoscopic Systems Directions in Concensed Matter Physics: Memorial Volume in Honor of Shang-Keng Ma. Edited by GRINSTEIN S ET AL. Published by World Scientific Publishing Co. Pte. Ltd. ,vol. 1, pp. 101- 163 ,(1986) , 10.1142/9789814415309_0004