Topological nature of Hubbard bands in strongly correlated systems

Abstract

The topological nature of the Mott-Hubbard state in strongly correlated systems is treated. These systems are described in terms of spin-charge separation, i.e. spinon-holon deconfinement in the gauge field. Analogies with the quantum Hall effect and Landau quantization are considered, the presence of the Chern-Simons term being important for proper description of the Hubbard splitting. Occurrence of topological frustrations with doping in an effective two-band model is demonstrated. The role of orbital degrees of freedom and possible occurrence of orbital currents are discussed.

arXiv comment5 pages

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• Orbital effects in solids: basics, recent progress and opportunities
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• Electronic States and Anomalous Hall Effect in Strongly Correlated Topological Systems
• Topological states in strongly correlated systems
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• Bilayer, hydrogenated and fluorinated graphene: QED vs SU(2) QCD theory
• Localized excitons in 1D half-filled paramagnetic Hubbard model