Semiclassical theory of nonlinear magneto-optical responses with ...
2016年12月16日 · We study nonlinear magneto-optical responses of metals by a semiclassical Boltzmann equation approach. We derive general formulas for linear and second-order nonlinear optical effects in the presence of magnetic fields that include both the Berry curvature and the orbital magnetic moment.
The Boltzmann equation is valid under assumptions of semi-classical transport: Effective mass approximation (which incorporates the quantum effects due to periodicity of the crystal); Born approximation for the collisions, in the limit of small perturbation for the electron-phonon interaction and instantaneous collisions; no memory effects, i.e....
1. Theoretical tool: Boltzmann equation (review) Given a piece of metal, consider the local electron distribution f(k,r,t) from external fields from scattering processes in the sample (impurity and phonon scattering) Semiclassical phase space picture!
The Boltzmann equation (BE) refers to the density of such particles in (k;r) space f(k;r;t) ddk (2ˇ)d ddr= number of carriers in cell ddkddr (4) with marginal distributions Z ddk (2ˇ)d f(k;r;t) = ˆ(r;t) (real space density) (5) Z ddrf(k;r;t) = n(k;t) (momentum space density) (6) Z ddk (2ˇ)d Z ddrf(k;r;t) = N c (number of carriers) (7)
Unified semiclassical approach to electronic transport from …
In this paper, we show that by integrating out the position-dependent electric field and incorporating proper boundary conditions, a Boltzmann equation can describe electron transport properties of a finite-size conductor, continuously from the diffusive to ballistic regimes.
1 Boltzmann equation Let us consider only the response of electrons (quasiparticles) from the band E(~k) which hosts the Fermi level (we are discussing metals).
1.3 Boltzmann Equation in Solids 1.3.1 Semiclassical Dynamics and Distribution Functions The semiclassical dynamics of a wavepacket in a solid are described by the equations
The “semiclassical” description on which the Boltzmann equation depends consists in introducing the idea of the number n(p, r : t) of particles which at time t have momentum p and position r. 2 More precisely, at time t the total number of particles lying within a cube
4.2 Semiclassical Transport Description - TU Wien
In semiclassical transport theory, electron transport in semiconductor devices is described by the Boltzmann equation given as [ 68] where ν is the subband index. The electron distribution is denoted by the function f ( x,p,t) from which the macroscopic …
Boltzmann Transport Method for Electronic Transport in …
2020年3月17日 · The semiclassical Boltzmann Transport Equation (BTE) is key in theoretical calculations of thermoelectric properties, both for electrons and phonons. The chapter will cover the physics of semiclassical transport methods (mainly the Boltzmann transport in the relaxation time approximation and briefly the Landauer approach).