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We investigate the topological phase transition with large Chern number in a coupled layer system. The topological transitions between different topological superfluids can be realized by controlling the binding energy, interlay tunneling…

Quantum Gases · Physics 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

Rhombohedral multilayer graphene, with its flat electronic bands and concentrated Berry curvature, is a promising material for the realization of correlated topological phases of matter. When aligned to an adjacent hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Samuel H. Aronson , Tonghang Han , Zhengguang Lu , Yuxuan Yao , Kenji Watanabe , Takashi Taniguchi , Long Ju , Raymond C. Ashoori

We study a generic model of a Chern insulator supplemented by a Hubbard interaction in arbitrary even dimension $D$ and demonstrate that the model remains well-defined and nontrivial in the $D \to \infty$ limit. Dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2021-05-12 David Krüger , Michael Potthoff

We identify a new class of topologically driven phase transitions when calculating the Hall conductance of two-band Chern insulators in the long-time limit after a global quench of the Hamiltonian. The Hall conductance is expressed as the…

Quantum Gases · Physics 2016-07-19 Pei Wang , Stefan Kehrein

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

New two dimensional systems like surface of topological insulator and graphene offer a possibility to experimentally investigate situations considered "exotic" just a decade ago. One of those is the quantum phase transition of the "chiral"…

Superconductivity · Physics 2015-03-27 Dingping Li , Baruch Rosenstein , B. Ya. Shapiro , I. Shapiro

We have investigated the bulk and surface electronic structures and band topology of TlBiS$_2$ as a function of strain and electric field using \textit{ab-initio} calculations. In its pristine form, TlBiS$_2$ is a normal insulator, which…

Mesoscale and Nanoscale Physics · Physics 2014-07-18 Bahadur Singh , Hsin Lin , R. Prasad , A. Bansil

A Cm planar photonic material (two-dimensional) including the mirror reflection symmetry is explored where in the Dirac cones appeared at the high-symmetry points of the Brillouin zone boundary. By implementing the specific perturbation on…

Applied Physics · Physics 2020-05-26 J. Hajivandi , H. Kurt

Topological quantum phase transition in electron gas systems is an enthralling phenomena. This phase transition has a unique property in that it is associated with a quantum phase transition point, which separates different regions with…

Strongly Correlated Electrons · Physics 2015-06-25 S. A. Owerre

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

Strongly Correlated Electrons · Physics 2013-09-10 Emil J. Bergholtz , Zhao Liu

Hexagonally patterned two-dimensional $p$-type semiconductor systems are quantum simulators of graphene with strong and highly tunable spin-orbit interactions. We show that application of purely in-plane magnetic fields, in combination with…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Tommy Li , Oleg P. Sushkov

In two-dimensional electronic lattices, changes in the topology of the Fermi surface (Lifshitz transitions) lead to Van Hove singularities characterized by a divergence in the electronic density of states. Van Hove singularities can enhance…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Lakshmi Pullasseri , Luiz H. Santos

Using first principles methods, we investigate topological phase transitions as a function of exchange field in a Bi(111) bilayer. Evaluation of the spin Chern number for different magnitudes of the exchange field reveals that when the time…

Materials Science · Physics 2013-08-22 Hongbin Zhang , Frank Freimuth , Gustav Bihlmayer , Stefan Blügel , Yuriy Mokrousov

As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize robust properties of condensed matter systems immune to the existence of disorder. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Kazuki Sone , Motohiko Ezawa , Yuto Ashida , Nobuyuki Yoshioka , Takahiro Sagawa

Topological phase transitions are typically characterized by abrupt changes in a quantized invariant. Here we report a contrasting paradigm in non-Hermitian parity-time symmetric systems, where the topological invariant remains conserved,…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Kang Yang , Zhi Li , Peng Xue , Emil J. Bergholtz , Piet W. Brouwer

Periodic networks composed of capacitors and inductors have been demonstrated to possess topological properties with respect to incident electromagnetic waves. Here, we develop an analogy between the mathematical description of waves…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Rafael Haenel , Timothy Branch , Marcel Franz

We show that interacting electrons in a flat Chern band can form, in addition to fractional Chern insulators, a chiral $f$-wave topological superconductor that hosts neutral Majorana fermion edge modes. Superconductivity emerges from an…

Superconductivity · Physics 2025-10-23 Daniele Guerci , Ahmed Abouelkomsan , Liang Fu

Topological phase transitions in a three-dimensional (3D) topological insulator (TI) with an exchange field of strength $g$ are studied by calculating spin Chern numbers $C^\pm(k_z)$ with momentum $k_z$ as a parameter. When $|g|$ exceeds a…

Mesoscale and Nanoscale Physics · Physics 2013-10-28 Yunyou Yang , Huichao Li , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

We have constructed a general theory describing the topological quantum phase transitions in 3D systems with broken inversion symmetry. While the consideration of the system's codimension generally predicts the appearance of a stable…

Strongly Correlated Electrons · Physics 2015-06-05 Bohm-Jung Yang , Mohammad Saeed Bahramy , Ryotaro Arita , Hiroki Isobe , Eun-Gook Moon , Naoto Nagaosa

This paper provides a pedagogical introduction to recent developments in geometrical and topological band theory following the discovery of graphene and topological insulators. Amusingly, many of these developments have a connection to…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 J. Cayssol , J. -N. Fuchs