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Two-dimensional (2D) semi-Dirac materials are characterized by a quadratic dispersion in one direction and a linear dispersion along the orthogonal direction. We study the topological phase transition in such 2D systems in the presence of…

Strongly Correlated Electrons · Physics 2016-09-01 Kush Saha

Topological edge states in Chern insulators are typically characterized by a linear dispersion relation inherited from the Dirac structure of the bulk Hamiltonian. Here we show that this paradigm can be fundamentally altered in systems with…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Marta García Olmos , David Martín Tejedor , Mario Amado , Yuriko Baba , Rafael A. Molina

A Chern insulator (quantum anomalous Hall insulator) phase is demonstrated to exist in a typical semi-Dirac system, the TiO2/VO2 heterostructure. By combining first-principles calculations with Wannier-based tight-binding model, we…

Materials Science · Physics 2015-11-04 Huaqing Huang , Zhirong Liu , Hongbin Zhang , Wenhui Duan , David Vanderbilt

Recent experimental discovery of fractional Chern insulator in moir\'e Chern band in twisted transition metal dichalocogenide homobilayers has sparked intensive interest in exploring the ways of engineering band topology and correlated…

Strongly Correlated Electrons · Physics 2024-05-22 Xiaoyang Shen , Chonghao Wang , Ruiping Guo , Zhiming Xu , Wenhui Duan , Yong Xu

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We have studied the evolution of the topological properties of a band-engineered AB-stacked bilayer honeycomb structure in the presence of a Haldane flux. Without a Haldane flux, band engineering makes the band touching points (the…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Sayan Mondal , Saurabh Basu

We re-examine the band structure of the stripe charge ordered state of $\alpha$-(BEDT-TTF)$_2$I$_3$ under pressure by using an extended Hubbard model within the Hartree mean-field theory. By increasing pressure, we find a topological…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 A. Kobayashi , Y. Suzumura , F. Piéchon , G. Montambaux

We present a model for a Chern insulator on the square lattice with complex first and second neighbor hoppings and a sublattice potential which displays an unexpectedly rich physics. Similarly to the celebrated Haldane model, the proposed…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

We study topological properties and the topological phase transitions therein for a semi-Dirac Haldane model on a honeycomb lattice in presence of an extended range (third neighbour) hopping. While in the absence of a third neighbour…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Sayan Mondal , Saurabh Basu

We show that a semi-Dirac (SD) system with an inversion symmetry breaking mass exhibits a topological phase transition when irradiated with off-resonant light. Using Floquet theory, we derive the band structure, Chern numbers, phase…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Vassilios Vargiamidis , P. Vasilopoulos , Neophytos Neophytou

We investigate topological phase transitions in Chern insulators within three-band models, focusing on the empty band and lowest band populated by spinless fermions. We consider Lieb and kagome lattices and notice phase transitions driven…

Strongly Correlated Electrons · Physics 2017-10-19 P. Potasz , B. Jaworowski , M. Kupczyński , M. Brzezińska , P. Kaczmarkiewicz , A. Wójs

A brief introduction to topological phases is provided, considering several two-band Hamiltonians in one- and two-dimensions. Relevant concepts of the topological insulator theory, such as: Berry phase, Chern number, and the quantum…

Strongly Correlated Electrons · Physics 2017-01-31 Leandro O. Nascimento

We study the Hall conductivity in single layer gapped Dirac fermion materials including coupling to a phonon field, which not only modifies the quasi-particle dynamics through the usual self-energy term but also renormalizes directly the…

Strongly Correlated Electrons · Physics 2015-06-17 Zhou Li , J. P. Carbotte

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass…

Strongly Correlated Electrons · Physics 2016-08-18 Stephan Rachel

We systematically investigate how static symmetry-breaking perturbations and dynamic Floquet terms via a polarized light manipulate the topological phase transitions in the two-dimensional quadratic-band-crossing-point (QBCP) materials. The…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Wen-Hao Bian , Jing Wang

We reveal a proximity effect between a topological band (Chern) insulator described by a Haldane model and spin-polarized Dirac particles of a graphene layer. Coupling weakly the two systems through a tunneling term in the bulk, the…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Peng Cheng , Philipp W. Klein , Kirill Plekhanov , Klaus Sengstock , Monika Aidelsburger , Christof Weitenberg , Karyn Le Hur

Chern insulators exhibit fascinating properties which originate from the topologically nontrivial state characterized by the Chern number. How these properties change if the system is quenched between topologically distinct phases has…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Michael Schüler , Philipp Werner

We show that the valley Chern number of the low energy band in twisted double bilayer graphene can be tuned through two successive topological transitions, where the direct bandgap closes, by changing the electric field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Priyanka Mohan , Unmesh Ghorai , Rajdeep Sensarma

The phase transition driven by electron correlations in a Chern insulator is investigated within the dynamical mean-field theory. The Chern insulator is described by the Haldane model and the electron correlations are incorporated by…

Strongly Correlated Electrons · Physics 2013-12-25 Hong-Son Nguyen , Minh-Tien Tran

We present a paradoxical finding that, in the vicinity of a topological phase transition in a quantum anomalous Hall system (Chern insulator), topology nearly always (except when the system obeys charge-conjugation symmetry) results in a…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 Denis R. Candido , Maxim Kharitonov , J. Carlos Egues , Ewelina M. Hankiewicz
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