Magnetic Response of Interacting Electrons in a Fractal Network: A Mean Field Approach

Details Magnetic Response of Interacting Electrons in a Fractal Network: A Mean Field Approach Magnetic Response of Interacting Electrons in a Fractal Network: A Mean Field Approach

2010-07-06

arxiv.org/abs/1007.0935v2

Physics Review B, Volume 82, Page 184201 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 8 figures

Scientific paper

10.1103/PhysRevB.82.184201

The Hubbard model on a Sierpinski gasket fractal is carefully examined within a Hartree-Fock mean field approach. We examine the influence of a magnetic flux threading the gasket on its ground state energy, persistent current and the Drude weight. Both an isotropic gasket and its anisotropic counterpart have been examined. The variance in the patterns of the calculated physical quantities are discussed for two situations, viz, at half-filling and when the `band' is less than half-filled. The phase reversal of the persistent currents and the change of the Drude weight as a function of the Hubbard interaction are found to exhibit interesting patterns that have so far remained unaddressed.

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