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d Polarisation by hopping charge carriers
1 Fourier transform of the convolution
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activation energy admittance amplitude arising atoms bonds capacitance capacitor charge carriers circuit complex conduction band constant corresponding dc conductivity Debye response defined density diagram dielectric loss dielectric materials dielectric permittivity dielectric relaxation dielectric response dielectric system dipolar direct current displacement distribution domain effect electric field electrons equation equilibrium example excitation exponent Fermi level finite Fourier transform frequency dependence frequency range frequency-domain frequency-independent given by eqn ideal Debye imaginary components impedance induced interactions ions Jonscher A K Kramers-Kronig Kramers-Kronig relations lattice limit linear logarithmic loss peak frequency low frequencies low-frequency dispersion many-body measurements mechanism molecules normalisation obtain orientational p-n junction parallel parameter particles permittivity phenomena Phys plane plot polarisation positive power law present processes real and imaginary relation representation represents result semiconductor shown in Figure shows slope solids space charge space charge region susceptibility temperature dependence thermal time-dependent time-domain transitions trapping valence band voltage zero