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Related papers: Topological order in the Haldane model with spin-s…

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We study the Haldane model with nearest-neighbor interactions. This model is physically motivated by the associated ultracold atoms implementation. We show that the topological phase of the interacting model can be characterized by a…

Strongly Correlated Electrons · Physics 2016-03-31 Emilio Alba , Jiannis Pachos , Juan Jose Garcia-Ripoll

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

Strongly Correlated Electrons · Physics 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

Haldane model is a noninteracting model for spinless fermions showing nontrivial topological properties. Effect of the electron-electron interaction on the topological phase poses an intriguing question. By means of the Hartree-Fock mean…

Strongly Correlated Electrons · Physics 2010-12-24 Lei Wang , Hao Shi , Shiwei Zhang , Xiaoqun Wang , Xi Dai , X. C. Xie

The Haldane model is a standard tight-binding model describing electrons hopping on a hexagonal lattice subject to a transverse, dipolar magnetic field. We consider its interacting version for values of the interaction strength that are…

Strongly Correlated Electrons · Physics 2025-10-13 Simone Fabbri , Alessandro Giuliani , Robin Reuvers

We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its topological properties. We analyze the simple, noninteracting…

Strongly Correlated Electrons · Physics 2010-09-29 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied…

Strongly Correlated Electrons · Physics 2021-11-23 Tian-Cheng Yi , Shijie Hu , Eduardo V. Castro , Rubem Mondaini

In this paper, we realize a topological superconductor (TSC) in correlated topological insulator - the interacting spinful Haldane model. We consider the electrons on the Haldane model with on-site negative-U interaction and then study its…

Superconductivity · Physics 2013-05-08 Ying Liang , Jing He , Ya-Jie Wu , Ying-Xue Zhu , Su-Peng Kou

While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a…

Strongly Correlated Electrons · Physics 2023-04-18 Peizhi Mai , Benjamin E. Feldman , Philip W. Phillips

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Tanay Nag , Saptarshi Mandal

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…

Strongly Correlated Electrons · Physics 2016-07-07 Jakub Imriška , Lei Wang , Matthias Troyer

We investigate the ground-state phase diagram of the spinful extended Haldane-Hubbard model on the honeycomb lattice using an exact-diagonalization, mean-field variational approach, and further complement it with the infinite density matrix…

Strongly Correlated Electrons · Physics 2021-01-27 Can Shao , Eduardo V. Castro , Shijie Hu , Rubem Mondaini

In this paper we propose an exactly solvable model of a topological insulator defined on a spin-1/2 square decorated lattice. Itinerant fermions defined in the framework of the Haldane model interact via the Kitaev interaction with spin-1/2…

Strongly Correlated Electrons · Physics 2014-10-17 Igor N. Karnaukhov , Igor O. Slieptsov

We study, by means of the density-matrix renormalization group (DMRG) technique, the evolution of the ground state in a one-dimensional topological insulator, from the non-interacting to the strongly-interacting limit, where the system can…

Strongly Correlated Electrons · Physics 2017-08-23 Franco T. Lisandrini , Alejandro M. Lobos , Ariel O. Dobry , Claudio J. Gazza

We study the phase diagram of the interacting spin-$1/2$ Haldane model with chiral phase $\phi = \pi/2$ at half-filling. Both on-site and long-range Coulomb repulsive interactions (Haldane-Hubbard-Coulomb model) are considered. The problem…

Strongly Correlated Electrons · Physics 2019-04-03 Igor S. Tupitsyn , Nikolay V. Prokof'ev

The Haldane phase for antiferromagnetic spin-1 chains is a celebrated topological state of matter, featuring gapped excitations and fractional spin-1/2 edge states. Here, we provide numerical evidence that this phase can be realized with a…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 G. Catarina , J. Fernández-Rossier

In this letter we study the Haldane model with on-site repulsive interactions at half-filling. We show that the mean-field Hamiltonian with magnetic order effectively modifies parameters in the Haldane Hamiltonian, such as sublattice energy…

Quantum Gases · Physics 2015-11-10 Wei Zheng , Huitao Shen , Zhong Wang , Hui Zhai

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…

Strongly Correlated Electrons · Physics 2016-02-19 Jingxiang Wu , Jean Paul Latyr Faye , David Sénéchal , Joseph Maciejko

Motivated by the recent progress in engineering artificial non-Abelian gauge fields for ultracold fermions in optical lattices, we investigate the time-reversal-invariant Hofstadter-Hubbard model. We include an additional staggered lattice…

We consider the Haldane model, a 2D topological insulator whose phase is defined by the Chern number. We study its phases as temperature varies by means of the Uhlmann number, a finite temperature generalization of the Chern number. Because…

Statistical Mechanics · Physics 2020-01-29 Luca Leonforte , Davide Valenti , Bernardo Spagnolo , Alexander A. Dubkov , Angelo Carollo
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