Topological spin density waves in the Hubbard model on a honeycomb lattice

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

doi:10.1103/physrevb.84.035127

Cited by 58 publications

(107 citation statements)

References 24 publications

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“…[38] appears between these two distinct antiferromagnetic SDW states and gapless Dirac fermions reappear near the Dirac points. However, in contrast to the case in Ref.…”

Section: B Topological Quantum Phase Transition and The T-sdw Statementioning

confidence: 99%

“…This is motivated by the recent work in the so-called topological Hubbard model, where the usual Haldane model is complemented with the Hubbard onsite repulsion interaction U . 38 In such a model, the T-SDW states with nontrivial edge excitations were discovered and classified by the effective Chern-Simon theory with different K matrices. Most importantly, all of these T-SDW states have the same physical symmetries with antiferromagnetic long-range order.…”

Section: The Topological Kondo Lattice Modelmentioning

confidence: 99%

“…By integrating out the Dirac fields, we get an effective Chern-Simon action, which represents the electromagnetic response of the massive Dirac fermions to the external electromagnetic field A µ , 38 (For details, see Appendix A. )…”

Section: B the Chern-simon Action For The Massive Dirac Fermions In mentioning

confidence: 99%

“…Similar to Ref. [38], this model can be called "topological Kondo lattice". We use the extended mean-field decoupling 16 to explore its phase diagram.…”

Section: Introductionmentioning

confidence: 99%

“…For example, the so-called topological spin-wave-density (T-SDW) state found by He et al 38 in the extended Hubbard model can not distinguish from the normal SDW (N-SDW) state according to the broken-symmetry and the corresponding local order parameters introduced, instead He et al used the quantized Hall conductance or the topological matrices K to identify these novel topological states. 38 The success in identifying novel phases by using the quantized Hall conductance motivates us to further explore whether such a novel phase exists or not in other strongly correlated models.…”

Section: Introductionmentioning

confidence: 99%

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Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model

Zhong

Wang

et al. 2013

Phys. Rev. B

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By using an extended mean-field theory we study the phase diagram of the topological Kondo lattice model on the honeycomb lattice at half-filling, in which the conduction electrons are described by the Haldane model. Besides the well-defined Kondo insulator and normal antiferromagnetic spindensity-wave (N-SDW) state, it is found that a novel and nontrivial topological antiferromagnetic SDW state (T-SDW) with a quantized Hall conductance is possible if the quasiparticle gap is dominated by the next-nearest neighbor hopping rather than the antiferromagnetic order. By analyzing the low-energy effective Chern-Simon action and the corresponding chiral edge-state, the T-SDW could be considered as a quantum anomalous Hall insulator with antiferromagnetic long-range order. This novel state is apparently beyond Landau-Ginzburg paradigm, which can be attributed to the interplay of quantum anomalous Hall effect and the subtle antiferromagnetic order in the Kondo lattice-like model. While the transition between the SDW states and the Kondo insulator is found to be conventional (a first order transition), the transition between the N-and T-SDWs is, however, a topological quantum phase transition. Interestingly, such topological quantum phase transition can be described by Dirac fermions coupled to a U (1) Chern-Simon gauge-field, which resembles the critical theory between bosonic integer quantum Hall phases and superfluid phase and also indicates such topological quantum phase transition may fall into the 3D-XY universal class. It is expected that the present work may shed light on the interplay between conduction electrons and the densely localized spins on the honeycomb lattice.

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“…[38] appears between these two distinct antiferromagnetic SDW states and gapless Dirac fermions reappear near the Dirac points. However, in contrast to the case in Ref.…”

Section: B Topological Quantum Phase Transition and The T-sdw Statementioning

confidence: 99%

Section: The Topological Kondo Lattice Modelmentioning

confidence: 99%

Section: B the Chern-simon Action For The Massive Dirac Fermions In mentioning

confidence: 99%

“…Similar to Ref. [38], this model can be called "topological Kondo lattice". We use the extended mean-field decoupling 16 to explore its phase diagram.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model

Zhong

Wang

et al. 2013

Phys. Rev. B

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Quantization of the Interacting Hall Conductivity in the Critical Regime

2019

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The Haldane model is a paradigmatic 2d lattice model exhibiting the integer quantum Hall effect. We consider an interacting version of the model, and prove that for short-range interactions, smaller than the bandwidth, the Hall conductivity is quantized, for all the values of the parameters outside two critical curves, across which the model undergoes a 'topological' phase transition: the Hall coefficient remains integer and constant as long as we continuously deform the parameters without crossing the curves; when this happens, the Hall coefficient jumps abruptly to a different integer. Previous works were limited to the perturbative regime, in which the interaction is much smaller than the bare gap, so they were restricted to regions far from the critical lines. The non-renormalization of the Hall conductivity arises as a consequence of lattice conservation laws and of the regularity properties of the current-current correlations. Our method provides a full construction of the critical curves, which are modified ('dressed') by the electron-electron interaction. The shift of the transition curves manifests itself via apparent infrared divergences in the naive perturbative series, which we resolve via renormalization group methods. arXiv:1803.11213v1 [cond-mat.str-el]

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Z2 slave-spin theory of a strongly correlated Chern insulator

Prychynenko

Huber

2016

Physica B: Condensed Matter

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We calculate the phase diagram of the topological honeycomb model in the presence of strong interactions. We concentrate on half filling and employ a Z2 slave-spin method to find a band insulator with staggered density, a spin-density-wave and a Mott insulating phase. Both the band insulator and the spin-density wave come in various topological varieties. Finally, we calculate the response function relevant for lattice modulation spectroscopy with cold atomic gases in optical lattices.

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Topological spin density waves in the Hubbard model on a honeycomb lattice

Cited by 58 publications

References 24 publications

Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model

Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model

Quantization of the Interacting Hall Conductivity in the Critical Regime

Z2 slave-spin theory of a strongly correlated Chern insulator

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