Magnetic Response in Quantized Spin Hall Phase of Correlated Electrons

Abstract

We investigate the magnetic response in the quantized spin Hall (SH) phase of layered-honeycomb lattice system with intrinsic spin-orbit coupling lambda_SO and on-site Hubbard U. The response is characterized by a parameter g= 4 U a^2 d / 3, where a and d are the lattice constant and interlayer distance, respectively. When g< (sigma_{xy}^{s2} mu)^{-1}, where sigma_{xy}^{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 -> 0. When g > (sigma_{xy}^{s2} mu)^{-1}, the system shows perfect diamagnetism, i.e., the Meissner effect occurs. We find that superlattice structure with large lattice constant is favorable to see these phenomena. We also point out that, as a result of Zeeman coupling, the topologically-protected helical edge states shows weak diamagnetism which is independent of the parameter g.

7 pages, the final version will be published in J. Phys. Soc. Jpn

References in corpus (15)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Mott physics and band topology in materials with strong spin-orbit interaction
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Superconductors are topologically ordered
• Topological Insulators and Mott Physics from the Hubbard Interaction
• A Class of $P,T$-Invariant Topological Phases of Interacting Electrons
• Superconductors with Topological Order
• Meissner effect without superconductivity from a chiral d-density wave
• Chiral Anomaly and Effective Field Theory for the Quantum Hall Liquid with Edges
• Edge and Bulk of the Fractional Quantum Hall Liquids
• The London Equation in Quantum Spin Hall System with Electronic Correlation

Cited by in corpus (7)

• Correlation effects in two-dimensional topological insulators
• Fractional topological liquids with time-reversal symmetry and their lattice realization
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• The effects of interaction on quantum spin Hall insulators
• Kondo lattice on the edge of a two-dimensional topological insulator
• Classification of engineered topological superconductors