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Dynamical mean field theory for the Dynamic Hubbard model Open Access


Other title
Dynamic Hubbard model
hole superconductivity
Dynamical mean field theory
electron-hole asymmetry
Type of item
Degree grantor
University of Alberta
Author or creator
Bach, Giang Huong
Supervisor and department
Frank Marsiglio (Physics)
Examining committee member and department
Richard Scalettar (Physics)
Kim Chow (Physics)
Kevin Beach (Physics)
Mark Freeman (Physics)
Alex Brown (Chemistry)
Department of Physics

Date accepted
Graduation date
Doctor of Philosophy
Degree level
Dynamical mean field theory is applied to the Dynamic Hubbard model. The Dynamic Hubbard model describes the orbital relaxation that occurs when two electrons occupy the same site, by using a pseudospin field at each site. Near half-filling the Mott physics associated with the static Hubbard model is enhanced by the coupling to this auxiliary field. More importantly, the Dynamic Hubbard model is strongly electron-hole asymmetric, as can be readily seen for a number of properties. We compute the quasiparticle spectral weight and the frequency dependent spectral function to illustrate some generic features of this model. In particular, holes tend to be heavier than electrons. In the antiadiabatic limit $\omega_0 \rightarrow \infty$, where $\omega_0$ is the pseudospin characteristic energy, the linear dependence of the quasiparticle weight on filling shows good agreement with a previously known analytical result in the correlated hopping model. The optical conductivity is also calculated analytically in a dimer with various number of particles. Further understanding of the optical conductivity is achieved by the two-site dynamical mean field theory in the thermodynamic limit. The dependence of optical conductivity on the number of particles reveals the effect of the pseudospin on the spectral weight distribution as a function of frequency.
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for the purpose of private, scholarly or scientific research. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
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File title: Dynamical mean field theory for the Dynamic Hubbard model
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