2016
DOI: 10.1103/physrevb.93.075131
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Quantum cluster approach to the spinful Haldane-Hubbard model

Abstract: We study the spinful fermionic Haldane-Hubbard model at half filling using a combination of quantum cluster methods: cluster perturbation theory (CPT), the variational cluster approximation (VCA), and cluster dynamical mean-field theory (CDMFT). We explore possible zero-temperature phases of the model as a function of on-site repulsive interaction strength and next-nearest-neighbor hopping amplitude and phase. Our approach allows us to access the regime of intermediate interaction strength, where charge fluctu… Show more

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Cited by 31 publications
(34 citation statements)
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References 99 publications
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“…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. Another recent study using 6-site DCA and CDMFT calculations 41 reports, similar to our findings, a signature of a first order transition for λ/t = 0.2.…”
Section: Comparison To Small Cluster Calculationsmentioning
confidence: 99%
“…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. Another recent study using 6-site DCA and CDMFT calculations 41 reports, similar to our findings, a signature of a first order transition for λ/t = 0.2.…”
Section: Comparison To Small Cluster Calculationsmentioning
confidence: 99%
“…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%
“…A divergence of the spectra of the topological Hamiltonian corresponds to the emergence of a zero-energy zero of the single particle Green's functions. Now it seems to lead us to a conclusion that the 'second topological transition' at U>U AF is a concrete realization in a microscopic model of the last scenario, as was similarly claimed in [45]. However, according to the generalized bulk-edge correspondence [58,59], a topological phase with a nonzero interacting bulk Chern number must assume gapless single particle states or zero-energy zeros of the single particle Green's function on open boundaries.…”
Section: Paradox Between the Natural-unit-cell Bulk Chern Number And mentioning
confidence: 75%
“…They give access to nontrivial many-body effects and can be unified within the variational principle based on the self energy functional approach [44]. These methods include cluster perturbation theory (CPT) [26], dynamical cluster approach (DCA) [27], cellular dynamical mean field theory (CDMFT) [28], variational cluster approach (VCA) [29], cluster dynamical impurity approximation [32], etc, and have been widely applied to detect the topological properties of interacting topological band insulators [21,22,34,35,38,45].…”
Section: Introductionmentioning
confidence: 99%
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