Patent ID: 9076712
Filing Date: 2015-07-07
Classification: B82Y,H01L

Abstract:
1. An electrical mobility-controlled material comprising: a solid state host material having a controllable Fermi energy level and having free electrical charge carriers with a charge carrier mobility in the host material; a plurality of particles distributed in the host material; at least one particle in the plurality of particles disposed in the host material with a radius, a, given by ka≦1, where k is free electrical charge carrier wave number, given as  where m the at least one particle having an effective mass, m where r is radial distance inside the particle, l has a value 0 for a first partial wave of an electrical charge carrier matter wave, l has a value 1 for a second partial wave of an electrical charge carrier matter wave, and E is an eigenvalue for an R l (r) eigenvector solution, so that a phase shift, δ l , of the l th partial waves meets the criterion of where l=0 and 1, nπ is a multiple, n, of π, k is the free electrical charge carrier wave number, a is the particle radius, and j l (ka) and n l (ka) are spherical Bessel functions of first and second kind as a function of radius, r, up to the particle radius, a, and γ l is a logarithmic derivative of the l th partial wave at the particle radius, where  the at least one particle thereby minimizing scattering potential of the electrical charge carriers for the at least one prespecified Fermi level energy of peak charge carrier mobility in the host material, as the charge carriers conduct through the host material.