Abstract
Experimental and theoretical results concerning the statistical properties of the conductance of electron systems at very low temperatures are reported. In the metallic regime the conductance fluctuations are of the order of e 2/h, independent of the size, and other parameters that characterize the system. The magnitude of these universal conductance fluctuations are determined by symmetry properties. In the insulating regime the configurational average of the conductance decreases much faster with the size of the system than its fluctuations such that the latter dominate transport in the thermodynamic limit at sufficiently low temperatures. The relation between the most probable value of the conductance, its configurational average, and the experimentally measured value are discussed. Conditions for the experimental observability of the fluctuations are briefly reviewed.
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Kramer, B. (1994). Reproducible quantum conductance fluctuations in disordered systems. In: Helbig, R. (eds) Advances in Solid State Physics 33. Advances in Solid State Physics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107883
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