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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…

介观与纳米尺度物理 · 物理学 2024-09-06 Nathan Goldman , Tomoki Ozawa

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

介观与纳米尺度物理 · 物理学 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum valley Hall effect (QVHE) is characterized by the valley Chern number (VCN) in a way that one-dimensional (1D) chiral metallic states are guaranteed to appear at the domain walls (DW) between two domains with opposite VCN for a…

介观与纳米尺度物理 · 物理学 2024-12-03 Rasoul Ghadimi , Chiranjit Mondal , Sunje Kim , Bohm-Jung Yang

We investigate the quantum anomalous Hall Effect (QAHE) and related chiral transport in the millimeter-size (Cr0.12Bi0.26Sb0.62)2Te3 films. With high sample quality and robust magnetism at low temperatures, the quantized Hall conductance of…

The search for strong topological phases in generic aperiodic materials and meta-materials is now vigorously pursued by the condensed matter physics community. In this work, we first introduce the concept of patterned resonators as a…

数学物理 · 物理学 2018-05-02 Chris Bourne , Emil Prodan

The discovery of the quantization of particle transport in adiabatic pumping cycles of periodic structures by Thouless [Phys. Rev. B 27, 6083 (1983)] linked the Chern number, a topological invariant characterizing the quantum Hall effect in…

介观与纳米尺度物理 · 物理学 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic…

介观与纳米尺度物理 · 物理学 2013-09-30 Xiong-Jun Liu , K. T. Law , T. K. Ng , Patrick A. Lee

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…

介观与纳米尺度物理 · 物理学 2026-01-14 Sachin Vaidya , André Grossi Fonseca , Mark R. Hirsbrunner , Taylor L. Hughes , Marin Soljačić

We detect the topological properties of Chern insulators with strong Coulomb interactions by use of cluster perturbation theory and variational cluster approach. The common scheme in previous studies only involves the calculation of the…

强关联电子 · 物理学 2019-07-30 Zhao-Long Gu , Kai Li , Jian-Xin Li

Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

介观与纳米尺度物理 · 物理学 2025-05-06 Jiong-Hao Wang , Yong Xu

We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with…

介观与纳米尺度物理 · 物理学 2023-08-29 Mateo Moreno-Gonzalez , Johannes Dieplinger , Alexander Altland

Chern-Simons orbital magnetoelectric (OME) coupling is usually the hallmark of nontrivial band topology in three-dimensional (3D) crystalline insulators. However, if a 3D insulator exhibits nonzero Chern number within any two-dimensional…

介观与纳米尺度物理 · 物理学 2025-02-20 Yang Xue , Jianpeng Liu

Two-dimensional Chern insulators have emerged as crucial platforms for the realization of the quantum anomalous Hall effect, and as such have attracted significant interest in spintronics and topological quantum physics due to their unique…

介观与纳米尺度物理 · 物理学 2026-02-24 Panjun Feng , Miao Gao , Xun-Wang Yan , Fengjie Ma

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

介观与纳米尺度物理 · 物理学 2007-05-23 Tohru Koma

Chern-Simons modified gravity is an effective extension of general relativity that captures leading-order, gravitational parity violation. Such an effective theory is motivated by anomaly cancelation in particle physics and string theory.…

高能物理 - 理论 · 物理学 2015-05-13 Stephon Alexander , Nicolas Yunes

We propose a novel geometric model of three-dimensional topological insulators in presence of an external electromagnetic field. The gapped boundary of these systems supports relativistic quantum Hall states and is described by a…

介观与纳米尺度物理 · 物理学 2018-02-01 Giandomenico Palumbo

The chiral hinge modes are the key feature of a second order topological insulator in three dimensions. Here we propose a quadrupole index in combination of a slab Chern number in the bulk to characterize the flowing pattern of chiral hinge…

介观与纳米尺度物理 · 物理学 2021-08-25 Bo Fu , Zi-Ang Hu , Shun-Qing Shen

We study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser…

介观与纳米尺度物理 · 物理学 2007-12-17 N. Goldman , P. Gaspard

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

介观与纳米尺度物理 · 物理学 2011-12-13 Oskar Vafek

Tunable exciton condensates in two dimensional electron gas systems under strong magnetic field exhibits anomalous Hall transport owing to mutual Coulomb coupling, and have attracted a lot of research activity. Here, we explore another…

强关联电子 · 物理学 2020-05-28 Tian-Sheng Zeng , D. N. Sheng , W. Zhu