Journal
PHYSICAL REVIEW B
Volume 82, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.075106
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Funding
- NSF [DMR-0803200]
- Yale Center for Quantum Information Physics [DMR-0653377]
- CNRS at LPS Orsay [UMR 8502]
- Deutsche Forschungsgemeinschaft (DFG) [RA 1949/1-1]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0803200] Funding Source: National Science Foundation
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We investigate the Hubbard model on the honeycomb lattice with intrinsic spin-orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions. Applying a combination of Hartree-Fock theory, slave-rotor techniques, and topological arguments, we show that the topological band insulating phase persists up to quite strong interactions. Then we apply the slave-rotor mean-field theory and find a Mott transition at which the charge degrees of freedom become localized on the lattice sites. The spin degrees of freedom, however, are still described by the original Kane-Mele band structure. Gauge-field effects in this region play an important role. When the honeycomb layer is isolated then the spin sector becomes already unstable toward an easy-plane Neel order. In contrast, if the honeycomb lattice is surrounded by extra screening layers with gapless spinons, then the system will support a fractionalized topological insulator phase with gapless spinons at the edges. For large interactions, we derive an effective spin Hamiltonian.
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