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We propose a simple scheme for the realization of a topological quasienergy band structure with ultracold atoms in a periodically driven optical square lattice. It is based on a circular lattice shaking in the presence of a superlattice…

Quantum Gases · Physics 2016-08-10 Mantas Račiūnas , Giedrius Žlabys , André Eckardt , Egidijus Anisimovas

We explore the physics of a Chern insulator subjected to a two step Floquet drive. We analytically obtain the phase diagram and show that the system can exhibit different topological phases characterized by presence and chirality of…

Disordered Systems and Neural Networks · Physics 2016-12-07 Sthitadhi Roy , G. J. Sreejith

We propose a Haldane-like model of dice lattice analogous to graphene and explore its topological properties within the tight-binding formalism. The topological phase boundary of the system is identical to that of Haldane model of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Bashab Dey , Priyadarshini Kapri , Ojasvi Pal , Tarun Kanti Ghosh

The Chern topological numbers of a material system are traditionally written in terms of the Berry curvature which depends explicitly on the material band structure and on the Bloch eigenwaves. Here, we demonstrate that it is possible to…

Optics · Physics 2018-04-04 Mário G. Silveirinha

We present a time-reversal invariant s-wave superconductor supporting Majorana edge modes. The multi-band character of the model together with spin-orbit coupling are key to realizing such a topological superconductor. We characterize the…

Superconductivity · Physics 2015-05-30 Shusa Deng , Lorenza Viola , Gerardo Ortiz

We consider interacting fermions in a magnetic field on a two-dimensional lattice with the periodic boundary conditions. In order to measure the Hall current, we apply an electric potential with a compact support. Then, due to the Lorentz…

Mathematical Physics · Physics 2015-04-07 Tohru Koma

Moir\'e materials have emerged as a powerful platform for exploring exotic quantum phases. While recent experiments have unveiled fractional Chern insulators exhibiting the fractional quantum anomalous Hall effect based on electrons or…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

Topological insulators are new states of matter in which the topological phase originates from symmetry breaking. Recently, time-reversal invariant topological insulators were demonstrated for classical wave systems, such as acoustic…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Yifan Zhu , Yugui Peng , Xudong Fan , Jing Yang , Bin Liang , Xuefeng Zhu , Jianchun Cheng

Breaking time-reversal symmetry in three-dimensional topological insulator thin films can lead to different topological quantum phases, such as the Chern insulator (CI) phase, and the axion insulator (AI) phase. Using first-principles…

Strongly Correlated Electrons · Physics 2021-05-18 N. Pournaghavi , M. F. Islam , Rajibul Islam , Carmine Autieri , Tomasz Dietl , C. M. Canali

We investigate a new class of topological antiferromagnetic (AF) Chern insulators driven by electronic interactions in two-dimensional systems without inversion symmetry. Despite the absence of a net magnetization, AF Chern insulators…

Strongly Correlated Electrons · Physics 2018-04-17 Kun Jiang , Sen Zhou , Xi Dai , Ziqiang Wang

Interactions among electrons and the topology of their energy bands can create novel quantum phases of matter. Most topological electronic phases appear in systems with weak electron-electron interactions. The instances where topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Kevin P. Nuckolls , Myungchul Oh , Dillon Wong , Biao Lian , Kenji Watanabe , Takashi Taniguchi , B. Andrei Bernevig , Ali Yazdani

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

Lattice models forming bands with higher Chern number offer an intriguing possibility for new phases of matter with no analogue in continuum Landau levels. Here, we establish the existence of a number of new bulk insulating states at…

Strongly Correlated Electrons · Physics 2012-11-06 Zhao Liu , Emil J. Bergholtz , Heng Fan , Andreas M. Laeuchli

Chern insulator is a building block of many topological quantum matters, ranging from quantum spin Hall insulators to fractional Chern insulators. Here, we discuss a new type of insulator, which consists of two half filled ordinary Chern…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Li-Jun Lang , Shao-Liang Zhang , Qi Zhou

We propose a generalized composite fermion (CF) theory for fractional Chern insulators (FCIs) by adapting the quantum mechanics approach of CFs. The theoretical framework naturally produces an effective CF Hamiltonian and a wavefunction…

Strongly Correlated Electrons · Physics 2025-09-12 Hao Jin , Junren Shi

Large Chern number phases in a Haldane model become possible if there is a multiplication of Dirac points in the underlying graphene model. This is realized by considering long-distance hopping integrals. Through variation of these…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Doru Sticlet , Frédéric Piéchon

Chern insulator phase is shown to emerge in two-dimensional arrays of polariton rings where time-reversal symmetry is broken due to the application of an out-of-plane magnetic field. The interplay of Zeeman splitting with the photonic…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 V. K. Kozin , I. V. Iorsh , A. V. Nalitov , I. A. Shelykh

Graphene-based moire superlattices exhibit novel quantum phenomena driven by pronounced interactions, leading to topological corrected states like orbital Chern insulators exhibiting quantum anomalous Hall effect (QAHE). Typically,…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Zaizhe Zhang , Xi Chen , Kenji Watanabe , Takashi Taniguchi , Zhida Song , Xiaobo Lu

Thermal fluctuation in magnets will bring temperature-dependent self-energy corrections to the magnons, however, their effects on the topological orders of magnons is not well explored. Here we demonstrate that such corrections can induce a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Yun-Mei Li , Xi-Wang Luo , Kai Chang

Two dimensional materials subject to long-wavelength modulations have emerged as novel platforms to study topological and correlated quantum phases. In this article, we develop a versatile and computationally inexpensive method to predict…

Mesoscale and Nanoscale Physics · Physics 2025-02-03 Valentin Crépel , Jennifer Cano
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