Chiral spin liquid in a correlated topological insulator

He, Jing; Kou, Su-Peng; Liang, Ying; Feng, Shiping

doi:10.1103/physrevb.83.205116

Cited by 58 publications

(77 citation statements)

References 42 publications

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“…Being hard to tackle, some of the previous studies used static mean-field approximations. [13][14][15][16][17] All these studies reported an additional phase with coexisting antiferromagnetic long-range order and non-trivial topological character at intermediate interaction strengths. This topologically non-trivial AFI state has a clear mean-field picture: in the vicinity of a putative second order quantum phase transition to the AFI, the antiferromagnetic order parameter increases continuously so that there is a finite region where the topological band gap persists despite of the counteracting topologically trivial band gap due to the magnetic order.…”

Section: -10mentioning

confidence: 99%

“…Both static mean-field calculations [13][14][15][16][17] and CDMFT on 2-site clusters 33 predict a continuous phase transition from CI to the AFI, with an intermediate topologically non-trivial AFI phase for a wide range of λ. Also results of a variational cluster approximation calculation on 6-site clusters 33,40 indicate an indirect transition from CI to AFI, but via a topologically non-trivial non-magnetic insulating phase with opposite Chern number as the CI.…”

Section: Comparison To Small Cluster Calculationsmentioning

confidence: 99%

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First-order topological phase transition of the Haldane-Hubbard model

2016

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We study the interplay of topological band structure and conventional magnetic long-range order in spinful Haldane model with onsite repulsive interaction. Using the dynamical cluster approximation with clusters of up to 24 sites we find evidence of a first order phase transition from a Chern insulator at weak coupling to a topologically trivial antiferromagnetic insulator at strong coupling. These results call into question a previously found intermediate state with coexisting topological character and antiferromagnetic long-range order. Experimentally measurable signatures of the first order transition include hysteretic behavior of the double occupancy, single-particle excitation gap and nearest neighbor spin-spin correlations. This first order transition is contrasted with a continuous phase transition from the conventional band insulator to the antiferromagnetic insulator in the ionic Hubbard model on the honeycomb lattice.

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Section: -10mentioning

confidence: 99%

Section: Comparison To Small Cluster Calculationsmentioning

confidence: 99%

First-order topological phase transition of the Haldane-Hubbard model

2016

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“…Therefore, studying its effects on the transport coefficients is of fundamental importance for the next generation of cold atom experiments. So far, the properties of the Haldane-Hubbard model have been investigated mostly via mean-field, variational and numerical analyses [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] .…”

Section: Introductionmentioning

confidence: 99%

Topological phase transitions and universality in the Haldane-Hubbard model

et al. 2016

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We study the Haldane-Hubbard model by exact Renormalization Group techniques. We analytically construct the topological phase diagram, for weak interactions. We predict that many-body interactions induce a shift of the transition line: in particular, repulsive interactions enlarge the topologically non-trivial region. The presence of new intermediate phases, absent in the non interacting case, is rigorously excluded at weak coupling. Despite the non-trivial renormalization of the wave function and of the Fermi velocity, the conductivity is universal: at the renormalized critical line, both the discontinuity of the transverse conductivity and the longitudinal conductivity are independent of the interaction, thanks to remarkable cancellations due to lattice Ward Identities. In contrast to the quantization of the transverse conductivity, the universality of the longitudinal conductivity cannot be explained via topological arguments.

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“…In addition, we need to point out that the Kane-Mele model [3] or the spinful Haldane model [14] with fluxsuperlattice exhibit similar topological features. Due to the spin degree of freedom, a π-flux on the these models traps two zero models.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Topological mid-gap states of Chern insulator with flux-superlattice

Wu¹,

He²,

Kou³

2014

EPL

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In this paper based on the Haldane model, we study the topological insulator with superlattice of π-fluxes. We find that there exist the mid-gap states induced by the flux-superlattice. In particular, the mid-gap states have nontrivial topological properties, including the nonzero Chern number and the gapless edge states. We derive an effective tight-binding model to describe the topological midgap states and then study the mid-gap states by the effective tight-binding model. The results can be straightforwardly generalized to other two dimensional topological insulators with flux-superlattice.

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Chiral spin liquid in a correlated topological insulator

Cited by 58 publications

References 42 publications

First-order topological phase transition of the Haldane-Hubbard model

First-order topological phase transition of the Haldane-Hubbard model

Topological phase transitions and universality in the Haldane-Hubbard model

Topological mid-gap states of Chern insulator with flux-superlattice

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