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Investigation of Order Parameters and Critical Coupling for the Peierls Extended Hubbard Model at One-Quarter Filling

The determination of the phase boundary between the charge density wave and the Luttinger Liquid phase for the one-dimensional Peierls extended Hubbard model is done using Stochastic Series Expansion and comparison is done with the phase boundary for the Extended Hubbard model. The result of adding an electron-phonon interaction is that the charge density wave phase weakens. par The energy autocorrelation time is reported for the Extended Hubbard Model and the Peierls Hubbard Model. For coupling near and above the critical coupling the autocorrelation time increases exponentially. par Also investigated is the presence of a spin gap and the critical value of phonon coupling with respect to two parameters, (1) the bare phonon frequency and (2) different U, at one-quarter filling.

Identiferoai:union.ndltd.org:MSSTATE/oai:scholarsjunction.msstate.edu:td-3845
Date11 December 2004
CreatorsHardikar, Rahul Padmakar
PublisherScholars Junction
Source SetsMississippi State University
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceTheses and Dissertations

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