Quantum coherence effects for strongly localized electrons

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We examine the role of quantum coherence phenomena for strongly localized electrons. The probability distribution for tunneling between two sites separated by a distance t is computed numerically and analytically by summing all forward scattering paths. We find a universal probability distribution with mean proportional to t, its variance growing as t, where ω depends on dimension D. We find that two parameters are needed to describe the tunneling probability. We also study the response of the system to an external magnetic field B. A magnetic field (in the absence of spin orbit scattering) leads to an increased localization length ξ i.e. a positive magneto-conductance (MC). The above results are explained within a replica formalism from which we derive average behavior and fluctuations. Finally we analyze the critical hop directional averaging depending on disorder and the possibility of bulk MC anisotropy.

Idioma originalInglés
Páginas (desde-hasta)130-135
Número de páginas6
PublicaciónRevista Mexicana de Fisica
EstadoPublicada - dic. 1998
Publicado de forma externa


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