A Fractionalized Quantum Spin Hall Effect

Abstract

Effects of electron correlations on a two dimensional quantum spin Hall (QSH) system are studied. We examine possible phases of a generalized Hubbard model on a bilayer honeycomb lattice with a spin-orbit coupling and short range electron-electron repulsions at half filling, based on the slave rotor mean-field theory. Besides the conventional QSH phase and a broken-symmetry insulating phase, we find a new phase, a fractionalized quantum spin Hall phase, where the QSH effect arises for fractionalized spinons which carry only spin but not charge. Experimental manifestations of the exotic phase and effects of fluctuations beyond the saddle point approximation are also discussed.

6 pages, 2 figures; v3) discussions on the stability of the edge modes added

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Cited by in corpus (47)

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• Colloquium: Topological Band Theory
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• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Correlation effects in two-dimensional topological insulators
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Fractionalized Topological Insulators
• Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
• Topological Insulators on the Decorated Honeycomb Lattice
• Mott Physics on Helical Edges of 2D Topological Insulators
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Fractional Topological Insulators -- a Pedagogical Review
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Topological phases in layered pyrochlore oxide thin films along the [111] direction
• Chiral Spin Liquid in Correlated Topological Insulator
• Kondo lattice on the edge of a two-dimensional topological insulator
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• A phase diagram for a topological Kondo insulating system
• Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
• Gauge-field fluctuations in 3D topological Mott insulators
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• Topological magnetic excitations
• Topological Insulators and Superconductors from String Theory
• Doping the Kane-Mele-Hubbard model: A Slave-Boson Approach
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Fractional topological insulators of Cooper pairs induced by proximity effect
• Fractionalized topological insulators from frustrated spin models in three dimensions
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Effective theory of fractional topological insulators in two spatial dimensions
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Bad topological semimetals in layered honeycomb compounds
• Edge modes in the Hofstadter model of interacting electrons
• The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
• Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping
• Short-ranged interaction effects on $Z_2$ topological phase transitions: The perturbative mean-field method
• Phase transitions of the dimerized Kane-Mele model with/without the strong interaction