Quantum spin Hall effect and spin-charge separation in a kagome lattice

Abstract

A two-dimensional kagome lattice is theoretically investigated within a simple tight-binding model, which includes the nearest neighbor hopping term and the intrinsic spin-orbit interaction between the next nearest neighbors. By using the topological winding properties of the spin-edge states on the complex-energy Riemann surface, the spin Hall conductance is obtained to be quantized as $-e/2\pi$ ($e/2\pi$) in insulating phases. This result keeps consistent with the numerical linear-response calculation and the \textbf{Z}${}_2$ topological invariance analysis. When the sample boundaries are connected in twist, by which two defects with $\pi$ flux are introduced, we obtain the spin-charge separated solitons at 1/3 (or 2/3) filling.

13 NJP pages, 7 figures

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Cited by in corpus (12)

• Topological states on the breathing kagome lattice
• Fractionally charged topological point defects on the kagome lattice
• Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators
• Weyl points created by a three-dimensional flat band
• Quantum spin Hall effect induced by non-magnetic and magnetic staggered potentials
• Correlation-induced magnetism in substrate-supported 2D metal-organic frameworks
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Dipolar Weyl semimetals
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Tunability of charge density wave in a magnetic kagome metal
• Three-dimensional $\mathbb{Z}$ topological insulators without reflection symmetry