Journal
PHYSICAL REVIEW B
Volume 93, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.93.115150
Keywords
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Funding
- National Natural Science Foundation of China (NSFC) [91421304, 11474356]
- David and Lucile Packard Foundation
- NSF [DMR-1151208]
- NSFC [11421092, 11574359]
- National Thousand-Young-Talents Program of China
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1151208] Funding Source: National Science Foundation
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It is expected that the interplay between nontrivial band topology and strong electron correlation will lead to very rich physics. Thus a controlled study of the competition between topology and correlation is of great interest. Here, employing large-scale quantum Monte Carlo simulations, we provide a concrete example of the Kane-Mele-Hubbard model on an AA-stacking bilayer honeycomb lattice with interlayer antiferromagnetic interaction. Our simulation identified several different phases: a quantum spin Hall insulator (QSH), an xy-plane antiferromagnetic Mott insulator, and an interlayer dimer-singlet insulator. Most importantly, a bona fide topological phase transition between the QSH and the dimer-singlet insulators, purely driven by the interlayer antiferromagnetic interaction, is found. At the transition, the spin and charge gap of the system close while the single-particle excitations remain gapped, which means that this transition has no mean-field analog and it can be viewed as a transition between bosonic symmetry-protected topological (SPT) states. At one special point, this transition is described by a (2 + 1) d O(4) nonlinear sigma model with exact SO(4) symmetry and a topological term at exactly Theta = pi. The relevance of this work towards more general interacting SPT states is discussed.
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