Magnetic Response in Quantized Spin Hall Phase of Correlated Electrons
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概要
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We investigate the magnetic response in the quantized spin Hall (SH) phase of a layered-honeycomb lattice system with intrinsic spin--orbit coupling \lambda_{\text{SO}} and on-site Hubbard U. The response is characterized by the parameter g= 4 U a^{2} d/3, where a and d are the lattice constant and interlayer distance, respectively. When g< (\sigma_{xy}^{\text{s2}} \mu)^{-1}, where \sigma_{xy}^{\text{s}} is the quantized spin Hall conductivity and \mu is the magnetic permeability, the magnetic field inside the sample oscillates spatially. The oscillation vanishes in the non-interacting limit U\rightarrow 0. When g > (\sigma_{xy}^{\text{s2}} \mu)^{-1}, the system shows perfect diamagnetism, i.e., the Meissner effect occurs. We find that a superlattice structure with large a is favorable for observing these phenomena. We also point out that, as a result of Zeeman coupling, the topologically protected helical edge states show weak diamagnetism that is independent of g.
- 2011-04-15
著者
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Maeda Nobuki
Department Of Physics Hokkaido University
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Goryo Jun
Institute of Industrial Science, The University of Tokyo, Meguro, Tokyo 153-0041, Japan
関連論文
- A Mean Field Theory for the Quantum Hall Liquid. II : The Vortex Solution : Condensed Matter and Statistical Physics
- Flux State in von Neumann Lattices and the Fractional Hall Effect : Particles and Fields
- Magnetic Response in Quantized Spin Hall Phase of Correlated Electrons
- Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect
- The London Equation in Quantum Spin Hall System with Electronic Correlation