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Title: Nonequilibrium approach to Bloch-Peierls-Berry dynamics

Abstract

We examine Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal-momentum space are treated on an equal footing. Explicit demonstrations of no (naive) Liouville theorem and of the validity of the Darboux theorem are given. Regardless, the explicit equilibrium-distribution function is obtained. Similarities and differences to previous approaches are discussed, and in particular, an interesting singular situation becomes nonsingular in the presence of dissipation. Our results confirm the richness of Bloch-Peierls-Berry dynamics.

Authors:
;  [1]
  1. Mechanical Engineering Department, University of Washington, Seattle, Washington 98195 (United States)
Publication Date:
OSTI Identifier:
20976654
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevB.75.035114; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN-VLASOV EQUATION; COORDINATES; CRYSTALS; DISTRIBUTION FUNCTIONS; DYNAMICS; EQUILIBRIUM; LIOUVILLE THEOREM; PHASE SPACE

Citation Formats

Olson, John C., and Ao Ping. Nonequilibrium approach to Bloch-Peierls-Berry dynamics. United States: N. p., 2007. Web. doi:10.1103/PHYSREVB.75.035114.
Olson, John C., & Ao Ping. Nonequilibrium approach to Bloch-Peierls-Berry dynamics. United States. doi:10.1103/PHYSREVB.75.035114.
Olson, John C., and Ao Ping. Mon . "Nonequilibrium approach to Bloch-Peierls-Berry dynamics". United States. doi:10.1103/PHYSREVB.75.035114.
@article{osti_20976654,
title = {Nonequilibrium approach to Bloch-Peierls-Berry dynamics},
author = {Olson, John C. and Ao Ping},
abstractNote = {We examine Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal-momentum space are treated on an equal footing. Explicit demonstrations of no (naive) Liouville theorem and of the validity of the Darboux theorem are given. Regardless, the explicit equilibrium-distribution function is obtained. Similarities and differences to previous approaches are discussed, and in particular, an interesting singular situation becomes nonsingular in the presence of dissipation. Our results confirm the richness of Bloch-Peierls-Berry dynamics.},
doi = {10.1103/PHYSREVB.75.035114},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 3,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
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  • Competition between ordered phases, and their associated phase transitions, are significant in the study of strongly correlated systems. Here, we examine one aspect, the nonequilibrium dynamics of a photoexcited Mott-Peierls system, using an effective Peierls-Hubbard model and exact diagonalization. Near a transition where spin and charge become strongly intertwined, we observe antiphase dynamics and a coupling-strength-dependent suppression or enhancement in the static structure factors. The renormalized bosonic excitations coupled to a particular photoexcited electron can be extracted, which provides an approach for characterizing the underlying bosonic modes. The results from this analysis for different electronic momenta show an uneven softeningmore » due to a stronger coupling near k F. Lastly, this behavior reflects the strong link between the fermionic momenta, the coupling vertices, and ultimately, the bosonic susceptibilities when multiple phases compete for the ground state of the system.« less
  • We discuss the Berry phase for Bloch functions that are composed of Gaussian orbitals. We derive analytic expressions both for the case of strongly localized functions and for weakly localized functions. It is shown that the Berry phases converge to a finite nonzero value in the limit of extremely delocalized electrons. Moreover, we show that the Berry phase depends very sensitively on small deviations from inversion symmetry. {copyright} {ital 1996 The American Physical Society.}
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