Kinetic Theory of Infrared Hall Effect in Simple Metals
Abstract
A kinetic theory is developed for the infrared (IR) Hall effect. The dynamic transport coefficients including the conductivity σ, cot θ_{H} (θ_{H}= Hall angle) and the Hall coefficient R_{H} for a system of conduction electrons (``electrons'' or ``holes'') are shown to be obtained by applying the conversion rule: γ_{0}>γ(ω)iω to the expressions for the static coefficients, where γ_{0} [γ(ω)] are static (dynamic) scattering rates which depend on the frequency ω and temperature T. If the real (Re) and imaginary (Im) parts of σ(ω) are measured, the ratio Re[σ(ω)]/Im[σ(ω)] is equal to γ/ω, which directly gives the dynamic rate γ(ω,T). The ratio Re[cotθ_{H}]/Im[cot θ_{H}]=γ_{H}ω,T)/ω yields the dynamic Hall rate γ_{H}(ω,T). The IR Hall effect experiments give a remarkable result: γ_{H}(ω,T)=γ_{H,0}(T), that is, the dynamic Hall scattering rate is equal to the static rate up to midIR ~1000 cm^{1}.
 Publication:

Modern Physics Letters B
 Pub Date:
 2000
 DOI:
 10.1142/S0217984900000653
 Bibcode:
 2000MPLB...14..495F
 Keywords:

 72.10.d;
 72.15.v;
 72.30.+q;
 Theory of electronic transport;
 scattering mechanisms;
 Electronic conduction in metals and alloys;
 Highfrequency effects;
 plasma effects