Truncation method for Green{close_quote}s functions in time-dependent fields

Journal Article · Tue Jul 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.1213· OSTI ID:526990

Brandes, T ^[1]

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1. Institute of Physics, University of Tokyo, Komaba 3-8-1, Tokyo 153 (Japan)

We investigate the influence of a time-dependent, homogeneous electric field on scattering properties of noninteracting electrons in an arbitrary static potential. We develop a method to calculate the (Keldysh) Green{close_quote}s function in two complementary approaches. Starting from a plane-wave basis, a formally exact solution is given in terms of the inverse of a matrix containing infinitely many {open_quotes}photoblocks,{close_quotes} which can be evaluated approximately by truncation. In the exact eigenstate basis of the scattering potential, we obtain a version of the Floquet state theory in the Green{close_quote}s-functions language. The formalism is checked for cases such as a simple model of a double barrier in a strong electric field. Furthermore, an exact relation between the inelastic scattering rate due to the microwave and the ac conductivity of the system is derived, which in particular holds near or at a metal-insulator transition in disordered systems. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 526990
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 3 Vol. 56; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CALCULATION METHODS
DYSON REPRESENTATION
ELECTRIC FIELDS
ELECTRONS
FLOQUET FUNCTION
GREEN FUNCTION
POTENTIAL SCATTERING
QUANTUM MECHANICS
TIME DEPENDENCE