Topological insulators and Mott physics from the Hubbard interaction
By S. Rachel, Karyn Le Hur. 2010
174 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/f0a860dfbc969937cd0e983fb1efca644d870dca
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In Atomic and Molecular Physics, and Optics
- Shoucheng Zhang
- Xiao-Liang Qi
- Bogdan Andrei Bernevig
- S. Peotta
- N. Regnault
- Topi Siro
- Ari Harju
- Ashvin Vishwanath
In Condensed Matter Physics
- Shoucheng Zhang
- Xiao-Liang Qi
- Bogdan Andrei Bernevig
- N. Regnault
- E. Witten
- Masatoshi Sato
- Y. Ando
- Ashvin Vishwanath
Citations in the corpus
- Topological insulators and superconductors (2010, background): “The effect of interactions on the the QSH state has also been recently studied (Rachel and Hur, 2010).”
- Band geometry, Berry curvature and superfluid weight (2016, background): “[36] Stephan Rachel and Karyn Le Hur, “Topological insulators and mott physics from the hubbard interaction,” Phys.”
- Fractional Chern Insulator (2011, background): “[6] Stephan Rachel and Karyn Le Hur, “Topological insulators and mott physics from the hubbard interaction,” Phys.”