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The onset of the topological phase transition in a two-dimensional model for a Chern Insulator, namely the Qi-Wu-Zhang(QWZ) model, is illustrated, with particular emphasis on the appearance of chiral edge-modes. The edge-modes are studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-16 Arjo Dasgupta , Indra Dasgupta

We demonstrate theoretically the coexistence of Dirac semimetal and topological insulator phases in InSb/$\alpha$-Sn conventional semiconductor superlattices, based on advanced first-principles calculations combined with low-energy $k\cdot…

Materials Science · Physics 2016-07-18 Jian-Peng Sun , Jia-ji Zhu , Dong Zhang , Kai Chang

The smooth topology change of Berry's phase from a Dirac monopole-like configuration to a dipole configuration, when one approaches the monopole position in the parameter space, is analyzed in an exactly solvable model. A novel aspect of…

High Energy Physics - Theory · Physics 2019-07-17 Shinichi Deguchi , Kazuo Fujikawa

Using angle-resolved photoemission spectroscopy (ARPES) and density functional theory (DFT), an experimental and theoretical study of changes in the electronic structure (dispersion dependencies) and corresponding modification of the energy…

Haldane's tight-binding model, which describes a Chern insulator in a two-dimensional hexagonal lattice, exhibits quantum Hall conductivity without an external magnetic field. Here, we explore an $\alpha -T_{3}$ lattice subjected to…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Othmane Benhaida , El Hassan Saidi , L. B. Drissi

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

When time reversal symmetry is present there is a sharp distinction between topological and trivial band insulators which ensures that, as parameters are varied, these phases are separated by a phase transition at which the bulk gap closes.…

Strongly Correlated Electrons · Physics 2015-06-05 Zohar Ringel , Ehud Altman

We study the vanishing of the topological properties of a quantum spin Hall insulator induced by a deformation of the band structure that interpolates between the Dirac and the semi-Dirac limits of a tight-binding model on a honeycomb…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Sayan Mondal , Saurabh Basu

Topological quantum phase transitions in superconductivity are discussed on two dimensional lattices. The main focus is on the Chern number for superconducting states. Each superconductivity is characterized by the Chern number, and the…

Superconductivity · Physics 2009-11-07 Yasuhiro Hatsugai , Shinsei Ryu

For controlling the critical electric fields of the topological phase transition in single bilayer Bi(111), we investigated topological phases in a strained system through first-principles calculations. We found a quadratic band touching…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Hikaru Sawahata , Naoya Yamaguchi , Fumiyuki Ishii

Two-dimensional (2D) Dirac states and Dirac points with linear dispersion are the hallmark of graphene, topological insulators, semimetals, and superconductors. Lowering a symmetry by the ferroelectric polarization opens the gap in Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Konstantin S. Denisov , Yuntian Liu , Igor Žutić

The Chern number is a crucial topological invariant for distinguishing the phases of Chern insulators. Here we find that for Chern insulators with inversion symmetry, the Chern number alone is insufficient to fully characterize their…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

Silicene is a monolayer of silicon atoms forming a honeycomb lattice. The lattice is actually made of two sublattices with a tiny separation. Silicene is a topological insulator, which is characterized by a full insulating gap in the bulk…

Mesoscale and Nanoscale Physics · Physics 2012-11-12 Motohiko Ezawa

The hoppings of non-interacting particles in the optical dice lattice result in the gapless dispersions in the band structure formed by the three lowest minibands. In our research, we find that once a periodic driving force is applied to…

Quantum Gases · Physics 2022-11-08 Shujie Cheng , Gao Xianlong

In many of three-dimensional metals with the inversion symmetry and a weak spin-orbit interaction, Dirac points of the electron energy spectrum form band-contact lines in the Brillouin zones of these crystals, and electron topological…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 G. P. Mikitik , Yu. V. Sharlai

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-10-10 Rui-An Chang , Ching-Ray Chang

Displacement field control of elecronic bands in low-dimensional systems is a promising route toward engineering emergent quantum phases. Here, we report displacement-field-induced band inversion and modulation of the Berry phase of…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Harsimran Kaur Mann , Simrandeep Kaur , Safil Mullick , Priya Tiwari , Kenji Watanabe , Takashi Taniguchi , Aveek Bid

Quench dynamics of topological phases have been studied in the past few years and dynamical topological invariants are formulated in different ways. Yet most of these invariants are limited to minimal systems in which Hamiltonians are…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Xi Wu , Ze Yang , Fuxiang Li

We study the fate of two-dimensional quadratic band crossing topological phases under a one-dimensional quasiperiodic modulation. By employing numerically exact methods, we fully characterize the phase diagram of the model in terms of…

Disordered Systems and Neural Networks · Physics 2024-09-19 Raul Liquito , Miguel Gonçalves , Eduardo V. Castro

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

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