WEAK-COUPLING TREATMENT OF THE HUBBARD-MODEL IN THE HIGH-DIMENSIONAL AND LOW-DIMENSIONAL SYSTEMS
SCIE
- Title
- WEAK-COUPLING TREATMENT OF THE HUBBARD-MODEL IN THE HIGH-DIMENSIONAL AND LOW-DIMENSIONAL SYSTEMS
- Authors
- KANG, K; MIN, BI
- Date Issued
- 1995-05
- Publisher
- KOREAN PHYSICAL SOC
- Abstract
- Employing the equation of motion method for the Green's function, we have obtained the self-energy for the Hubbard model in the weak correlation limit up to the 2nd order in U, the on-site interaction strength. The quasi-particle spectral density of states is determined numerically, using the local approximation which is known to be exact for the infinite dimensional Hubbard model. Further, assuming a linear dispersion for the bare electronic spectra for the 1D Hubbard model, we have evaluated analytically the imaginary part of the self-energy, Im Sigma, near the Fermi energy (E(F)) and the renormalization coefficient at E(F), Z(F). It is found that the 1D Hubbard model system exhibits a non-Fermi liquid behavior within the 2nd order perturbational treatment.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/21779
- ISSN
- 0374-4884
- Article Type
- Article
- Citation
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY, vol. 28, page. S390 - S393, 1995-05
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