Doping the Kane-Mele-Hubbard model: A Slave-Boson Approach

Abstract

We study the Kane-Mele-Hubbard model both at half-filling and away from half-filling using a slave-boson mean-field approach at zero temperature. We obtain a phase diagram at half-filling and discuss its connection to recent results from quantum Monte Carlo, slave-rotor, and $Z_2$ mean-field studies. In particular, we find a small window in parameter space where a spin liquid phase with gapped spin and charge excitations reside. Upon doping, we show the spin liquid state becomes a superconducting state by explicitly calculating the singlet pairing order parameters. Interestingly, we find an "optimal" doping for such superconductivity. Our work reveals some of the phenomenology associated with doping an interacting system with strong spin-orbit coupling.

11 pages and 9 figures

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• Interaction effect in two-dimensional Dirac fermions
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• Edge modes in the Hofstadter model of interacting electrons
• Zero Temperature Phase Diagram of the Classical Kane-Mele-Heisenberg Model
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model
• Phase transitions of the dimerized Kane-Mele model with/without the strong interaction