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Related papers: Topological Anderson insulating phases in the inte…

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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…

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

We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Mateo Moreno-Gonzalez , Johannes Dieplinger , Alexander Altland

Occurrence of topological Anderson insulator (TAI) in HgTe quantum well suggests that when time-reversal symmetry (TRS) is maintained, the pertinent topological phase transition, marked by re-entrant $2e^2/h$ quantized conductance…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Ying Su , Y. Avishai , X. R. Wang

The Haldane-Hubbard model is a prime example of the combined effects of band topology and electronic interaction. We revisit its spinful phase diagram at half-filling as a consensus on the presence of SU($2$) symmetry is currently lacking.…

Strongly Correlated Electrons · Physics 2024-01-17 Wan-Xiu He , Rubem Mondaini , Hong-Gang Luo , Xiaoqun Wang , Shijie Hu

We study the half-filled Haldane-Holstein model, where a paradigmatic Chern insulator is coupled to fully dynamical phonons, and provide an unbiased characterization of how retarded electron-phonon interactions destabilize Chern topology.…

Strongly Correlated Electrons · Physics 2026-02-11 Sebastião dos Anjos Sousa-Júnior , Julián Faúndez , Tarik P. Cysne , Richard T. Scalettar , Rubem Mondaini

Characterizing topological phases for strongly interacting fermions in the mixed-state regime remains a major challenge. Here we introduce a general and numerically efficient framework to diagnose mixed-state topological phases in strongly…

Strongly Correlated Electrons · Physics 2025-11-25 Shao-Hang Shi , Xiao-Qi Sun , Zi-Xiang Li

We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum Monte Carlo simulations show that at moderate disorder,…

Condensed Matter · Physics 2007-05-23 Bhargavi Srinivasan , Giuliano Benenti , Dima L. Shepelyansky

In this paper, the influence of the quasidisorder on a two-dimensional system is studied. We find that there exists a topological phase transition accompanied by a transverse Anderson localization. The topological properties are…

Disordered Systems and Neural Networks · Physics 2023-08-09 Shujie Cheng , Reza Asgari , Gao Xianlong

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

Using dynamical mean-field theory and exact diagonalization we study the phase diagram of the repulsive Haldane-Hubbard model, varying the interaction strength and the sublattice potential difference. In addition to the quantum Hall phase…

Quantum Gases · Physics 2016-06-08 Tuomas I. Vanhala , Topi Siro , Long Liang , Matthias Troyer , Ari Harju , Päivi Törmä

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

Topologically ordered phases are characterized by long-range quantum entanglement and fractional statistics rather than by symmetry breaking. First observed in a fractionally filled continuum Landau level, topological order has since been…

We study the effect of electron-electron interactions in a spinful Chern insulator. For weak on-site repulsive interactions at half-filling, the system is a weakly correlated Chern insulator adiabatically connected to the noninteracting…

Strongly Correlated Electrons · Physics 2013-12-16 Joseph Maciejko , Andreas Rüegg

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 A. Girschik , F. Libisch , S. Rotter

Topology and disorder have deep connections and a rich combined influence on quantum transport. In order to probe these connections, we synthesized one-dimensional chiral symmetric wires with controllable disorder via spectroscopic…

Interactions generically have important effects on the topological quantum phases. For a quantum anomalous Hall (QAH) insulator, the presence of interactions can qualitatively change the topological phase diagram which, however, is…

Strongly Correlated Electrons · Physics 2023-08-24 Wei Jia , Long Zhang , Lin Zhang , Xiong-Jun Liu

Chiral edge states are the fingerprint of the bulk-edge correspondence in a Chern insulator. Co-propagating edge modes, known as antichiral edge states, have been predicted to occur in the so-called modified Haldane model describing a…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 Marwa Mannaï , Eduardo V. Castro , Sonia Haddad

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

Motivated by the recent experimental realization of the topological Anderson insulator and research interest on the topological quasicrystal lattices, we investigate the effects of disorder on topological properties of a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-09-30 Rui Chen , Dong-Hui Xu , Bin Zhou

We present a detailed, quantitative study of the competition between interaction- and disorder-induced effects in electronic systems. For this the Anderson-Hubbard model with diagonal disorder is investigated analytically and by Quantum…

Condensed Matter · Physics 2007-05-23 M. Ulmke , V. Janis , D. Vollhardt