2004/08/20 by V. Turkowski, Volodymyr Turkowski, J. K. Freericks · 1 citation
Physics and Astronomy · #Bloch equations #Condensed matter physics #Electric field #Electron #Formalism (music) #Lattice (music) #Magnetic field #Non-equilibrium thermodynamics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Semiconductor Quantum Structures and Devices #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.71.085104
published as Phys. Rev. B 71, 085104--1-11 (2005) · 11 pages 6 figures
arxiv created 2004/08/20 · openalex publication_date 2005/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field (ignoring magnetic-field effects). The electronic Green's functions, Wigner density of states, and time-varying current are all determined and analyzed. We study both constant and pulsed electric fields, focusing on the transient response region and on local properties. These noninteracting Green's functions are an important input into nonequilibrium dynamical mean field theory for the nonlinear response of strongly correlated electrons.