Lattice Theoretical Approach in Strongly Correlated Electron Systems

• Published in: arXiv.org
• Main Authors: Lee, Mu-Kun, Chern, Chyh-Hong
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 11.06.2018
• Subjects: Antiferromagnetism; Correlation; Expanding universe theory; Ferromagnetism; Physics - Strongly Correlated Electrons; Quantum phenomena; Superconductivity; System effectiveness
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1806.03795

The effective lattice models in strongly correlated electron systems are \emph{derived} in particular for the cuprate superconductors, that incorporate the quantum fluctuations of the spin Berry's phase and the antiferromagnetic fluctuation. Consistent with the field-theoretical approach, the density modulation, the weak ferromagnetism, and the superconductivity are reproduced. We discussed the pros and cons of the effective-model approach and demonstrate that both positive and negative Hubbard model are the effective models subject to the occurrence of the quantum fluctuations of the correlation degrees of freedom.