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We study topological phases of interacting systems in two spatial dimensions in the absence of topological order (i.e. with a unique ground state on closed manifolds and no fractional excitations). These are the closest interacting analogs…

强关联电子 · 物理学 2014-05-15 Yuan-Ming Lu , Ashvin Vishwanath

Twisted bilayer graphene aligned with hexagonal boron nitride (TBG/hBN) hosts rich topological and correlated quantum phases, such as (fractional) Chern insulators, whose character is dictated by the topology of the moir\'{e} flat band.…

强关联电子 · 物理学 2026-05-01 Huiwen Wang , Wei Jiang

We study the real-space entanglement renormalization group flows of topological band insulators in (2+1) dimensions by using the continuum multi-scale entanglement renormalization ansatz (cMERA). Given the ground state of a Chern insulator,…

介观与纳米尺度物理 · 物理学 2016-08-17 Xueda Wen , Gil Young Cho , Pedro L. S. Lopes , Yingfei Gu , Xiao-Liang Qi , Shinsei Ryu

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

Two-dimensional materials (2DM) and their derived heterostructures have electrical and optical properties that are widely tunable via several approaches, most notably electrostatic gating and interfacial engineering such as twisting. While…

Topological insulating states in two-dimensional (2D) materials are ideal systems to study different types of quantized response signals due to their in gap metallic states. Very recently, the quantum spin Hall (QSH) effect was discovered…

介观与纳米尺度物理 · 物理学 2024-04-23 Junwen Lai , Xiangyang Liu , Jie Zhan , Tianye Yu , Peitao Liu , Xing-Qiu Chen , Yan Sun

Magnetic skyrmions offer promising prospects for constructing future energy-efficient and high-density information technology, leading to extensive explorations of new skyrmionic materials recently. The topological Hall effect has been…

The discovery of magic angle twisted bilayer graphene (MATBG) has unveiled a rich variety of superconducting, magnetic and topologically nontrivial phases. The existence of all these phases in one material, and their tunability, has opened…

The flat bands resulting from moir\'e superlattices in magic-angle twisted bilayer graphene (MATBG) and ABC-trilayer graphene aligned with hexagonal boron nitride (ABC-TLG/hBN) have been shown to give rise to fascinating correlated electron…

Controlling quantum matter with light offers a promising route to dynamically tune its many-body properties, ranging from band topology to superconductivity. However, achieving such optical control for strongly correlated electron systems…

The long-sought Chern insulators that manifest quantum anomalous Hall effect are typically considered to occur solely in ferromagnets. Here, we theoretically predict the realizability of Chern insulators in antiferromagnets, of which the…

材料科学 · 物理学 2024-09-24 Yuntian Liu , Jiayu Li , Qihang Liu

In moir\'e materials with flat electronic bands and suitable quantum geometry, strong correlations can give rise to novel topological states of matter. The nontrivial band topology of twisted molybdenum ditelluride (tMoTe$_2$) --…

Low-dimensional electronic systems have traditionally been obtained by electrostatically confining electrons, either in heterostructures or in intrinsically nanoscale materials such as single molecules, nanowires, and graphene. Recently, a…

介观与纳米尺度物理 · 物理学 2014-02-12 A. F. Young , J. D. Sanchez-Yamagishi , B. Hunt , S. H. Choi , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

Motivated by the study of stacking faults in weak topological insulators and the observation of magnetic domain walls in MnBi$_{2n}$Te$_{3n+1}$, we explore the topological properties of magnetic domain walls in antiferromagnetic topological…

介观与纳米尺度物理 · 物理学 2025-09-17 Gabriele Naselli , Ion Cosma Fulga

Fractional Chern insulators (FCIs) showing a transport effect with fractionally quantized Hall plateaus emerging under zero magnetic field, provide a radically new opportunity to engineer topological quantum electronics. By construction of…

Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient procedure to determine this topological index.…

介观与纳米尺度物理 · 物理学 2012-05-28 Doru Sticlet , Frederic Piéchon , Jean-Noël Fuchs , Pavel Kalugin , Pascal Simon

Quantum Hall systems host chiral edge states extending along the one-dimensional boundary of any two-dimensional sample. In solid state materials, the edge states serve as perfectly robust transport channels that produce a quantised Hall…

The discovery of zero-field fractional Chern insulators (FCIs) in moir\'e materials has attracted intense interest in the interplay between topology and correlations. Here, we demonstrate that fractionalized topological order can emerge…

介观与纳米尺度物理 · 物理学 2025-10-20 Hui Liu , Raul Perea-Causin , Zhao Liu , Emil J. Bergholtz

Inducing Cooper pairing in a thin ferromagnetic topological insulator in the quantum anomalous Hall state (called quantum anomalous Hall insulator, QAHI) is a promising way to realize topological superconductivity with associated chiral…

介观与纳米尺度物理 · 物理学 2024-12-30 Anjana Uday , Gertjan Lippertz , Kristof Moors , Henry F. Legg , Andrea Bliesener , Lino M. C. Pereira , A. A. Taskin , Yoichi Ando

At very small twist angles, bilayer moir\'e systems exhibit characteristic stacking domain patterns, where the moir\'e length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of…

介观与纳米尺度物理 · 物理学 2026-05-12 Kunihiro Yananose , Changwon Park , Young-Woo Son