Conductance fluctuations and distribution in disordered chains in the presence of an electric field

Localization and absorption of the local field in two-dimensional composite metal-dielectric films at the percolation threshold

“…Furthermore, other peaks of small field strengths appear in the distributions obtained by the RSRG method, particularly for small losses and at the characteristic frequency (ω = 1), while for larger losses and different frequencies these peaks seem to move to larger field strengths and overlap with the main one, contributing to its broadening. This behaviour strongly affects the IPR calculations since the broadening of the field distribution means an increase of the degree of localization [19,20]. However, the additional peaks appearing for small losses in the RSRG method should contribute only slightly to the IPR since they are many orders of magnitude smaller than the main peak.…”

“…We conclude then that the local transmission also has a log-normal distribution for high field strengths in such films. Therefore, if we use the analogy between the electric field in the Helmholtz equation and the electronic wave-function in the Schrödinger equation [7], the local transmission of the electromagnetic waves is equivalent to the electronic conductance at zero temperature [18] where a log-normal distribution is a signature of localization [19,20].…”

The transmission properties of nonlinear superlattice in the presence of a weak electric field

“…On the other hand, there has been a continuous interest in the study of electrical field-induced effects in crystals or other periodic and random structures [10][11][12][13][14][15][16][17]. The external electrical field-induced transport phenomena of ballistic electrons in a superlattice were studied [1,18,19].…”

Density of states in structurally disordered 1D chains of atoms

“…This simple model in its generalized form proved to be useful also for disordered systems [7,8], especially when the external field [9] and various kinds of disorder need to be included [10]. Another application of the model for disordered systems is the problem of dimer impurities [11].…”