Hofstadter butterfly for a finite correlated system

Abstract

We investigate a finite two-dimensional system in the presence of external magnetic field. We discuss how the energy spectrum depends on the system size, boundary conditions and Coulomb repulsion. On one hand, using these results we present the field dependence of the transport properties of a nanosystem. In particular, we demonstrate that these properties depend on whether the system consists of even or odd number of sites. On the other hand, on the basis of exact results obtained for a finite system we investigate whether the Hofstadter butterfly is robust against strong electronic correlations. We show that for sufficiently strong Coulomb repulsion the Hubbard gap decreases when the magnetic field increases.

7 pages, 5 figures, revtex

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• Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
• Translational symmetry breaking and the disintegration of the Hofstadter butterfly
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• Electron structure of the Falicov-Kimball model with a magnetic field
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Orbital Magnetic Field Driven Metal-Insulator Transition in Strongly Correlated Electron Systems
• Magnetic-field effect on excitonic condensation emergent in extended Falicov-Kimball model
• Interacting fermions in two dimension in simultaneous presence of disorder and magnetic field
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background