Abstract

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires under variation of the magnetic field B. A Fourier analysis of aperiodic oscillations observed in the classical experiments by Webb and Washburn reveals a practically discrete spectrum in agreement with the scenario based on the analogy with one-dimensional systems, according to which conductance fluctuations are due to the superposition of incommensurate harmonics. A more detailed analysis reveals the existence of a continuous component, whose smallness is explained theoretically. A lot of qualitative results are obtained that confirm the presented picture: the distribution of phases, frequency differences, and the growth exponents is consistent with theoretical predictions; discrete frequencies weakly depend on the processing procedure; and the discovered shift oscillations confirm the analogy with one-dimensional systems. Microscopic estimates show that the results obtained are consistent with the geometrical dimensions of the sample.

中文翻译：

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通用电导涨落的频谱分析

摘要

在磁场B的变化下，通常以细线的磁阻的非周期性振荡的形式观察到普遍的电导性波动。。Webb和Washburn在经典实验中观察到的非周期性振荡的傅立叶分析显示，与一维系统的类比基于电导的波动是由于不相称的谐波的叠加所导致的，该频谱实际上是离散的，与情景相符。更详细的分析揭示了连续分量的存在，从理论上解释了它的微小性。获得了许多定性结果，证实了所呈现的图像：相位分布，频率差和增长指数与理论预测一致；离散频率几乎取决于处理程序；所发现的移位振荡证实了与一维系统的类比。