STATICS AND DYNAMICS OF COUPLED ELECTRON–PHONON SYSTEMS
S. A. TrugmanFMF, University of Ljubljana and J. Stefan Institute, 1000, SloveniaJ. BončaFMF, University of Ljubljana and J. Stefan Institute, 1000, SloveniaLi-Chung KuTheory Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
2001en
ABI
Abstract
We review recent variational methods that provide extremely accurate solutions for the problem of one and two electrons coupled to dynamical, quantum phonons, including retardation effects. The dynamics of these systems far from equilibrium is explored, including the dynamics of polaron formation after electron injection by an STM. An examination of three-point functions suggests a qualitative modification of the traditional picture of a polaron. Long-range electron–phonon interactions are studied in some generality, including vector and frustrated Fröhlich models, and bounds are obtained on the possible mass enhancement.
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Cited by 60 references