Chiral orbital current and anomalous magnetic moment in gapped graphene
arXiv:1105.5919 · doi:10.1103/PhysRevB.84.125427
Abstract
We present a low-energy effective-mass theory to describe chiral orbital current and anomalous magnetic moment in graphenes with band gap and related materials. We show that a Bloch electron generally contains an anomalous current density due to inter-band matrix elements, which describes a chiral current circulation associated with magnetic moment. In gapped graphenes, the chiral current is opposite between different valleys, and corresponding magnetic moment accounts for valley splitting of Landau levels. In gapped bilayer graphene, in particular, the valley-dependent magnetic moment is responsible for divergence of paramagnetic susceptibility at the band bottom, and full valley polarization is achieved in relatively small magnetic field range. The formulation also applies to the gapped surface states of three-dimensional topological insulator, where the anomalous current is related to the magneto-electric response in spatially-modulated potential.
10 pages, 3 figures
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- Electron-hole crossover in gate-controlled bilayer graphene quantum dots
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- Spin polarized nematic order, quantum valley Hall states, and field tunable topological transitions in twisted multilayer graphene systems
- Manipulation of Dirac band curvature and momentum-dependent g-factor in a kagome magnet YMn6Sn6
- Emergence of Chern insulating states in non-Magic angle twisted bilayer graphene
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- Colossal orbital Zeeman effect driven by tunable spin-Berry curvature in a kagome metal
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- Valley transport driven by dynamic lattice distortion
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- Quantum oscillations of valley current driven by microwave irradiation in transition-metal dichalcogenide/ferromagnet hybrids