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      Orbital magnetization of the electron gas on a two-dimensional kagome lattice under a perpendicular magnetic field

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          Abstract

          The orbital magnetization of the electron gas on a two-dimensional kagome lattice under a perpendicular magnetic field is theoretically investigated. The interplay between the lattice geometry and magnetic field induce nontrivial \(k\)-space Chern invariant in the magnetic Brillouin zone, which turns to result in profound effects on the magnetization properties. We show that the Berry-phase term in the magnetization gives a paramagnetic contribution, while the conventional term brought about by the magnetic response of the magnetic Bloch bands produces a diamagnetic contribution. As a result, the superposition of these two components gives rise to a delicate oscillatory structure in the magnetization curve when varying the electron filling factor. The relationship between this oscillatory behavior and the Hofstadter energy spectrum is revealed by selectively discussing the magnetization and its two components at the commensurate fluxes of \(f\)=1/4, 1/3, and 1/6, respectively. In particular, we reveal as a typical example the fractal structure in the magnetic oscillations by tuning the commensurate flux around \(f\)=1/4. The finite-temperature effect on the magnetization is also discussed.

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          Author and article information

          Journal
          2010-01-29
          Article
          1001.5330
          1fe8585a-a4f3-425f-9a84-bb4d73bad4da

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          14 pages, 8 figures
          cond-mat.mes-hall

          Nanophysics
          Nanophysics

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