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Related papers: Linear response of the Chern insulator MnBi$_2$Te$…

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We study coherent transport in density tunable micro-devices patterned from thin films of the topological insulator (TI) Bi2Se3. The devices exhibit pronounced electric field effect, including ambipolar modulation of the resistance with an…

Mesoscale and Nanoscale Physics · Physics 2012-01-19 Hadar Steinberg , Jean-Baptiste Laloë , Valla Fatemi , Jagadeesh S. Moodera , Pablo Jarillo-Herrero

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

We use the Dirac cone model to explore the high Chern number (C) phases that are realized in the magnetic-doped topological insulator (TI) multilayer structures by Zhao et al. [Nature 588, 419 (2020)]. The Chern number is calculated by…

Mesoscale and Nanoscale Physics · Physics 2022-08-19 Yi-Xiang Wang , Fuxiang Li

Understanding the nature of surface states and their exchange gaps in magnetic topological insulator MnBi$_2$Te$_4$ (MBT) thin films is crucial for achieving robust topological Chern and Axion insulating phases where the Quantum Anomalous…

Materials Science · Physics 2025-05-13 Shahid Sattar , Daniel Hedman , C. M. Canali

A $U(1)$ gauge theory coupled to a Wilson fermion on a $2+1$ dimensional cubic lattice is known to exhibit Chern insulator like topological transitions as a function of the the ratio $M/R$ where $M$ is the fermion mass and $R$ is the Wilson…

High Energy Physics - Theory · Physics 2020-12-30 Srimoyee Sen

The topology of typical Chern insulators is rooted in the periodicity of the system along two directions of real-space. In this article, we depart from this standard concept and demonstrate that a generic non-Hermitian photonic waveguide…

We propose characterization of the three-dimensional topological insulator by using the Chern number for the entanglement Hamiltonian (entanglement Chern number). Here we take the extensive spin partition of the system, that pulls out the…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Hiromu Araki , Takahiro Fukui , Yasuhiro Hatsugai

We introduce new classes of gapped topological phases characterized by quantized crystalline-electromagnetic responses, termed "multipolar Chern insulators". These systems are characterized by nonsymmorphic momentum-space symmetries and…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Sachin Vaidya , André Grossi Fonseca , Mark R. Hirsbrunner , Taylor L. Hughes , Marin Soljačić

This pedagogical piece provides a surprisingly simple demonstration that the quantized Hall conductivity of correlated insulators is given by the many-body Chern number, a topological invariant defined in the space of twisted boundary…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nathan Goldman , Tomoki Ozawa

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 develop a mean-field theory of the stability of fractional Chern insulators based on the dipole picture of composite fermions (CFs). We construct CFs by binding vortices to Bloch electrons and derive a CF single-particle Hamiltonian that…

Strongly Correlated Electrons · Physics 2026-01-13 Xiaodong Hu , Ying Ran , Di Xiao

The realization of interacting topological states of matter such as fractional Chern insulators (FCIs) in cold atom systems has recently come within experimental reach due to the engineering of optical lattices with synthetic gauge fields…

Quantum Gases · Physics 2020-12-03 Johannes Motruk , Ilyoun Na

MnBi$_2$Te$_4$ is a promising representative of intrinsic antiferromagnetic topological insulators, which could enable rare quantum mechanical effects like the quantum anomalous Hall effect. Especially at low temperatures, numerous studies…

Strongly Correlated Electrons · Physics 2022-11-11 M. Köpf , S. H. Lee , Z. Q. Mao , C. A. Kuntscher

The bulk spectrum of a possible Chern insulator on a quasicrystalline lattice is examined. The effect of being a 2D insulator seems to override any fractal properties in the spectrum. We compute that the spectrum is either two continuous…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Terry A. Loring

Topology plays a central role in nearly all disciplines of physics, yet its applications have so far been restricted to closed, lossless systems in thermodynamic equilibrium. Given that many physical systems are open and may include gain…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Mark R. Hirsbrunner , Timothy M. Philip , Matthew J. Gilbert

In this letter we show how the topological number of a static Hamiltonian can be measured from a dynamical quench process. We focus on a two-band Chern insulator in two-dimension, for instance, the Haldane model, whose dynamical process can…

Quantum Gases · Physics 2017-05-10 Ce Wang , Pengfei Zhang , Xin Chen , Jinlong Yu , Hui Zhai

Topological quantum phases of matter have been a topic of intense interest in contemporary condensed matter physics. Extensive efforts are devoted to investigate various exotic properties of topological matters including topological…

Strongly Correlated Electrons · Physics 2015-11-25 Woo-Ram Lee , Kwon Park

Through a thorough magneto-transport study of antiferromagnetic topological insulator MnBi2Te4 (MBT) thick films, a positive linear magnetoresistance (LMR) with a two-dimensional (2D) character is found in high perpendicular magnetic fields…

Materials Science · Physics 2021-01-04 X. Lei , L. Zhou , Z. Y. Hao , X. Z. Ma , C. Ma , Y. Q. Wang , P. B. Chen , B. C. Ye , L. Wang , F. Ye , J. N. Wang , J. W. Mei , H. T. He

We develop a theory for the temperature and density dependence of phonon-limited resistivity $\rho(T)$ in bilayer and multilayer graphene, and compare with the corresponding monolayer result. For the unscreened case, we find $\rho \approx C…

Materials Science · Physics 2011-04-20 Hongki Min , E. H. Hwang , S. Das Sarma

The recent observation of the fractional quantum anomalous Hall effect in moir\'e fractional Chern insulators provides an opportunity to investigate zero magnetic field anyons. To potentially realize non-Abelian anyons, one approach is to…