Granularity in Narrow Wires: Conductance Fluctuations, Diffuse Boundaries and Junction Scattering

作者: T. J. Thornton , M. L. Roukes , A. Scherer , B. P. Van der Gaag

DOI: 10.1007/978-1-4899-3689-9_12

关键词: Density of statesElectrical resistivity and conductivityPhysicsScatteringConductivityQuantum wireCondensed matter physicsFermi energyCoherent backscatteringElectron

摘要: Many factors determine the electrical conductivity of a narrow wire. In weakly disordered system we can begin with Drude conductivity, σ=ne2τ/m, and add corrections which take account various aspects transport not included in this simple expression (see Fig. 1). For instance, disorder induced arise from quantum interference electron-electron interaction, generally lowering conductivity. The arises because coherent backscattering electrons reduces diffusion coefficient below classical result (D = vF l /2 for specular scattering) while interaction lowers density states at Fermi energy. We rewrite terms coefficient, D, states, N(EF), as σ e2DN(EF) provided are small, δσ/σ ~ δD/D + δN/N(EF), so that two additive.

参考文章(25)
Alfred Brian Pippard, Magnetoresistance in metals ,(1989)
M. Büttiker, Absence of backscattering in the quantum Hall effect in multiprobe conductors Physical Review B. ,vol. 38, pp. 9375- 9389 ,(1988) , 10.1103/PHYSREVB.38.9375
B.L. Altshuler, A.G. Aronov, Fermi-liquid theory of the electron-electron interaction effects in disordered metals Solid State Communications. ,vol. 46, pp. 429- 435 ,(1983) , 10.1016/0038-1098(83)90570-7
A. M. Chang, T. Y. Chang, H. U. Baranger, Quenching of the Hall resistance in a novel geometry Physical Review Letters. ,vol. 63, pp. 996- 999 ,(1989) , 10.1103/PHYSREVLETT.63.996
Toshiro Hiramoto, Kazuhiko Hirakawa, Yasuhiro Iye, Toshiaki Ikoma, One-dimensional GaAs wires fabricated by focused ion beam implantation Applied Physics Letters. ,vol. 51, pp. 1620- 1622 ,(1987) , 10.1063/1.98574
C. W. J. Beenakker, H. van Houten, Flux-cancellation effect on narrow-channel magnetoresistance fluctuations Physical Review B. ,vol. 37, pp. 6544- 6546 ,(1988) , 10.1103/PHYSREVB.37.6544
CJB Ford, TJ Thornton, R Newbury, M Pepper, H Ahmed, DC Peacock, DA Ritchie, JEF Frost, GAC Jones, None, Vanishing hall voltage in a quasi-one-dimensional GaAs-AlxGa1-xAs heterojunction Physical Review B. ,vol. 38, pp. 8518- 8521 ,(1988) , 10.1103/PHYSREVB.38.8518
W. J. Skocpol, P. M. Mankiewich, R. E. Howard, L. D. Jackel, D. M. Tennant, A. Douglas Stone, Universal conductance fluctuations in silicon inversion-layer nanostructures. Physical Review Letters. ,vol. 56, pp. 2865- 2868 ,(1986) , 10.1103/PHYSREVLETT.56.2865