# The Electron Glass by Professor M. Pollak, Professor M. Ortuño, Professor A.

By Professor M. Pollak, Professor M. Ortuño, Professor A. Frydman

Providing an up to date record on digital glasses, this booklet examines experiments and theories for a number of disordered fabrics the place electrons convey glassy houses. a few attention-grabbing mathematical versions of idealized structures also are mentioned. The authors study difficulties during this box, highlighting which matters are presently understood and which require extra learn. the place acceptable, the authors specialize in actual arguments over tricky derivations. The publication presents introductory history fabric on glassy platforms, houses of disordered platforms and shipping houses so it may be understood through researchers in condensed topic physics who're new to this box.

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5 Anderson localization and metal–insulator transitions 25 constitute a delocalized state. Thinking this way would make delocalization a percolation problem and miss out on the quantum aspects of it. In particular, the resonance condition is not just a property of i and j alone but depends on hybridization with other sites. The interference effects between closed trajectories traveling in opposite directions also decreases delocalization. Thus, the quantum aspect suppresses delocalization. This is most important in 2D where the pairwise approach would allow for delocalization, which is in fact forbidden.

17) where the exponent s depends on dimensionality s = 1/(d + 1). 17), which becomes s = 1/2 independent of dimensionality. 14). , 1993). 17) with s = 1/2, corresponding to VRH with interactions. To the extent that the fit is adequate to determine well the value s = 1/2, this can be taken as evidence for interaction. 2. Resistivity vs. T −1/2 for ion-implanted Si:P,B samples. 17) with s = 1/2, after Zhang et al. (1993). Copyright by the American Physical Society. 18) where n is the carrier concentration, m is the electron, mass and τ is the mean free time.

A basic observation of glassiness consists of an excitation of the system by some general (intensive) external force followed by measurement of the dependent appropriate (extensive) response function. Therefore, we list the relevant driving force and measured response parameter for each of the glasses. • Structural glasses A representative of these glasses is the silicon oxide glass (window glass) that has been known since antiquity. Usually what is measured in these glasses is the change of viscosity with temperature.