Theses and Dissertations

Issuing Body

Mississippi State University


Clay, Rudolf Torsten

Committee Member

Novotny, Mark A.

Committee Member

Winger, Jeff A.

Date of Degree


Document Type

Graduate Thesis - Open Access

Degree Name

Master of Science


College of Arts and Sciences


Department of Physics and Astronomy


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.



Autocorrelation time for Peierls Extended Hubbard||Spin-Peierls transition||Spin gap||Peierls Extended Hubbard Model at one-quarter fill||Critical Coupling