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23 April 2024 |
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Article overview
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Bona fide interaction-driven topological phase transition in correlated SPT states | | Yuan-Yao He
; Han-Qing Wu
; Yi-Zhuang You
; Cenke Xu
; Zi Yang Meng
; Zhong-Yi Lu
; | | Date: |
26 Aug 2015 | | Abstract: | It is expected that the interplay between non-trivial 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 (QMC) simulations, we provide a
concrete example of the Kane-Mele-Hubbard (KMH) model on an AA stacking bilayer
honeycomb lattice with inter-layer antiferromagnetic interaction. Our
simulation identified several different phases: a quantum spin-Hall insulator
(QSH), a $xy$-plane antiferromagnetic Mott insulator ($xy$-AFM) and an
inter-layer dimer-singlet insulator (dimer-singlet). Most importantly, a bona
fide topological phase transition between the QSH and the dimer-singlet
insulators, purely driven by the inter-layer 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 analogue and it can be viewed as a transition between bosonic SPT
states. At one special point, this transition is described by a $(2+1)d$ $O(4)$
nonlinear sigma model (NLSM) with {it exact} $SO(4)$ symmetry, and a
topological term at {it exactly} $Theta = pi$. Relevance of this work
towards more general interacting SPT states is discussed. | | Source: | arXiv, 1508.6389 | | Services: | Forum | Review | PDF | Favorites | |
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