Mesoscopic Physics of Electrons and Photons

Abstract

How to use this book xv 1 Introduction: mesoscopic physics 1 1.1 Interference and disorder 1 1.2 The Aharonov-Bohm effect 4 1.3 Phase coherence and the effect of disorder 7 1.4 Average coherence and multiple scattering 9 1.5 Phase coherence and seif-averaging: universal fluctuations 12 1.6 Spectral correlations 14 1.7 Classical probability and quantum crossings 15 1.7.1 Quantum crossings 17 1.8 Objectives 18 2 Wave equations in random media 31 2.1 Wave equations 2.1.1 Electrons in a disordered metal 31 2.1.2 Electromagnetic wave equation-Helmholtz equation 32 2.1.3 Other examples of wave equations 2.2 Models of disorder 36 2.2.1 The Gaussian model 2.2.2 Localized impurities: the Edwards model 39 2.2.3 The Anderson model Appendix A2.1: Theory of elastic collisions and single scattering A2.1.1 Asymptotic form of the solutions 44 A2.

Angle dependence of the frequency correlation in random photonic media: Diffusive regime and its breakdown near localization

“…29 L and C are ladder and Cooperon vertices, H indicates the Hikami-box vertex consisting of three terms. 10 weak-scattering limit for the C (1) correlation is thus expected to occur far above the localization limit k e B ∼ 1 in the wings of the CBS cone. The line in Fig.…”

“…A crucial point is that self-interference due to the intersection of paths is associated with a finite intersection volume of order λ 2 B , with λ being the optical wavelength. 10 This is especially relevant in the wings of the CBS cone, where the transverse distance between the path ends is only one mean free path B . Following the scaling of Eq.…”

“…The narrowing of the spectral correlation at large angles can be attributed to the dephasing contribution of Eq. (10). As the path length distribution in reflection is governed by short light paths of the order of the mean free path B , this angle-dependent narrowing stays prominent even when L increases to infinity, i.e., for semi-infinite slabs.…”

“…3(a)]. 10 The spectral correlation function consists of four diagrams, consisting of two diffusons (LL*), two Cooperons (CC*), and two mixeddiagram contributions (LC* and CL*). We write the correlation as the sum of two mixed-frequency bistatic coefficients γ l u,0 (ω, ) and γ ĉ u,0 (ω, ) :…”

Enhanced quantum interference transport in gold films with random antidot arrays

“…However, a MR peak appeared around zero field strength, which indicates the weak localization (WL) effect. 23,24 WL describes the corrections to the classical electrical conductivity of disordered metals caused by quantum coherence interference of time-reversed paths. The application of a magnetic field influences this interference and results in a suppression of the resistivity.…”