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Energy Relaxation of Nonequilibrium Charge Carriers Due to Variable Range Hopping
Author(s) -
Bleibaum O.,
Böttger H.,
Bryksin V.V.,
Samukhin A.N.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200003)218:1<63::aid-pssb63>3.0.co;2-c
Subject(s) - constant (computer programming) , gaussian , relaxation (psychology) , fick's laws of diffusion , condensed matter physics , physics , diffusion , range (aeronautics) , density of states , probability density function , variable range hopping , energy (signal processing) , quantum mechanics , materials science , electrical resistivity and conductivity , mathematics , statistics , psychology , social psychology , computer science , composite material , programming language
We have investigated relaxation via energy‐loss hopping in tail states at zero temperature, where diffusion is absent. We find that generally energy transport is dispersive, which manifests in spreading of the distribution function for the energy. The spreading is affected by the density of states. On the one hand, there is a package widening due to dispersive transport. On the other hand, there is a package narrowing, if the density of states increases with energy. It is the interplay between these two tendencies that determines the overall evolution. If the density of states is constant the second mechanism is absent. In this case the packet evolves into a Gaussian packet, moving with constant velocity and mean squared deviation increasing with time. If the density of states increases exponentially with energy narrowing becomes prevailing after the packet is formed. For long times the packet's form deviates from Gaussian. In that case we find that the mean square deviation is constant with respect to time, so the motion of the packet is soliton‐like.