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Permanent link (DOI): https://doi.org/10.7939/R3FN11115
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A Multiorbital DMFT Analysis of the Dynamic Hubbard Model Open Access
- Other title
Dynamic Hubbard Model
Orbital Selective Mott Transition
Strongly Correlated Electron Systems
- Type of item
- Degree grantor
University of Alberta
- Author or creator
Polachic, Christopher J A
- Supervisor and department
Marsiglio, Frank (Physics)
- Examining committee member and department
Sydora, Richard (Physics)
Beamish, John (Physics)
Maciejko, Joseph (Physics)
Jarrell, Mark (Physics & Astronomy, Louisiana State University)
Department of Physics
- Date accepted
- Graduation date
Doctor of Philosophy
- Degree level
The conventional, single band Hubbard model captures the dynamics that arise in strongly correlated electron systems in the competition between electron transport and local Coulomb interactions. However, some of the important physics of real lattices is overlooked by its simplicity. The dynamic Hubbard model (DHM) provides additional degrees of freedom for electron states in a lattice by including a higher energy orbital and hybridization parameters for electrons to take advantage of a reduced Coulomb repulsion in the upper orbital when the lattice is at half-filling.
This ``relaxation'' of the electronic state is accompanied by an asymmetry between electron and hole quasiparticles in the model. In this thesis we employ the computational tool of multiorbital dynamical mean field theory (MODMFT) to study electron-hole asymmetry in the DHM as evidenced in the behaviour of the quasiparticle weight and optical conductivity of electrons. In agreement with previous exact diagonalization work on the DHM, we find that the relaxation of electronic states is associated with quasiparticle dressing in the hole regime of the lower orbital, and a transfer of optical conductivity spectral weight from low to high frequencies. These observations are evidences of the electron-hole asymmetry in the two-orbital system.
In this context, we evaluate the role of two critical variables in the DHM: the local and nonlocal hybridizations which parameterize interorbital electron transitions in the Hamiltonian. We demonstrate that the electron-hole asymmetry of the model has a more complex relationship to these hybridization parameters than previously identified. Mott physics plays an essential role in the quasiparticle dressing due to the local hybridization, while the nonlocal hybridization promotes electron-hole asymmetry by providing a separate channel for electron transport which serves to reduce the quasiparticle weight of holes in the lower band.
We also briefly examine the phenomenon of orbital selective Mott transitions in the DHM within the parameter regime of electron state relaxation, and evaluate the role played by the hybridization parameters in this context.
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File title: Strongly Correlated Electron Systems
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