Phase transitions in the Haldane-Hubbard model within coherent potential approximation

Le, Duc-Anh; Tran, Minh-Tien; Tran, Thi-Thanh-Mai; Nguyen, T.P.; Nguyen, Thi-Huong; Hoang, Anh-Tuan

doi:10.1016/j.physb.2017.06.084

Cited by 5 publications

(4 citation statements)

References 25 publications

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“…We want to remark that the actual phase diagram of the Haldane Hubbard model in the moderate interacting regime has been highly debated over the past several years, namely different methods predicted quite different results [45][46][47][48][49][50][51][52][53][54][55][56][57]. In particular, even whether the intermediate phases exist has not come to an agreement, let alone their physical properties.…”

Section: Summary and Discussionmentioning

confidence: 98%

“…In this article we focus on the scheme of applying quantum cluster approaches to the determination of topological invariants in correlated Chern insulators. The prototype is the half-filled Haldane Hubbard model [46][47][48][49][50][51][52][53][54][55][56][57], which exhibits quantum anomalous Hall effect with weak Coulomb interactions and is antiferromagnetically ordered in the strong coupling limit. Previous quantum cluster methods [45] predicted a topological Neel antiferromagnet and/or a topological nonmagnetic Mott insulator in the moderate interacting regime.…”

Section: Introductionmentioning

confidence: 99%

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Quantum cluster approach to the topological invariants in correlated Chern insulators

2019

New J. Phys.

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We detect the topological properties of Chern insulators with strong Coulomb interactions by use of cluster perturbation theory and variational cluster approach. The common scheme in previous studies only involves the calculation of the interacting bulk Chern number within the natural-unit cell by means of the so-called topological Hamiltonian. With close investigations on a prototype model, the half-filled Haldane Hubbard model, which is subject to both periodic and open boundary conditions, we uncover the unexpected failure of this scheme due to the explicit breaking of the translation symmetry. Instead, we assert that the faithful interacting bulk Chern number in the framework of quantum cluster approaches can be computed in the enlarged unit cell, which is free of the fault caused by the explicit translation symmetry breaking and consistent with the interacting bulk-edge correspondence.

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Section: Summary and Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Quantum cluster approach to the topological invariants in correlated Chern insulators

2019

New J. Phys.

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“…In this paper we would like to investigate a two-dimensional (2D) material of the Haldane model which has a broken time-reversal symmetry by pure imaginary hopping between next nearest neighbour (NNN) sites [19][20][21]. We exploit the radiation of thermal photons carrying angular momentum.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we investigate a two-dimensional (2D) material of the Haldane model which has a broken time-reversal symmetry by pure imaginary hopping between next nearest neighbour (NNN) sites [22][23][24]. The Haldane model is the most typical and simplest model for topological insulators.…”

Section: Introductionmentioning

confidence: 99%

Far-field heat and angular momentum radiation of the Haldane model

Zhang

Wang

2020

J. Phys.: Condens. Matter

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We investigate the radiation of energy and angular momentum from 2D topological systems with broken inversion symmetry and time reversal symmetry. A general theory of far-field radiation is developed using the linear response of 2D materials to the thermal fluctuation of electric currents. Applying the theory to the Haldane model, we verify that the heat radiation complies with Planck’s law only at low temperature and deviates from it as temperature becomes high. In contrast to normal metals, angular momentum radiation is possible for this system and exhibits saturation as temperature increases. Parameters crucial to the radiation are investigated and optimized. This research enlightens the possibility of transposing the quantum information to the angular momentum degree of freedom.

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