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The breaking and enforcing of symmetries is a crucial ingredient in designing topologically robust materials. While magnetic fields can break time-reversal symmetry to create Chern insulators in electronic and microwave systems, at optical…

光学 · 物理学 2024-11-21 Nathan Roberts , Brook Salter , Jack Binysh , Peter J. Mosley , Anton Souslov

Twisted double bilayer graphene (tDBG) has emerged as an especially rich platform for studying strongly correlated and topological states of matter. The material features moir\'e bands that can be continuously deformed by both perpendicular…

介观与纳米尺度物理 · 物理学 2023-12-05 Minhao He , Jiaqi Cai , Ya-Hui Zhang , Yang Liu , Yuhao Li , Takashi Taniguchi , Kenji Watanabe , David H. Cobden , Matthew Yankowitz , Xiaodong Xu

We present the emergence of gapless surface states in a three-dimensional Chalker-Coddington type network model with spatial periodicity. The model consists of a ring network placed on every face of the cubic unit cells in the simple cubic…

介观与纳米尺度物理 · 物理学 2015-10-15 Tetsuyuki Ochiai

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…

量子气体 · 物理学 2020-12-03 Johannes Motruk , Ilyoun Na

Three-dimensional (3D) topological materials exhibit much richer phenomena than their lower-dimensional counterparts. Here, we propose self-localized topological states (i.e., topological solitons) in a 3D nonlinear photonic Chern…

光学 · 物理学 2022-05-24 Rujiang Li , Pengfei Li , Yongtao Jia , Ying Liu

While periodically-driven phases offer a unique insight into non-equilibrium topology that is richer than its static counterpart, their experimental realization is often hindered by ubiquitous decoherence effects. Recently, we have proposed…

介观与纳米尺度物理 · 物理学 2022-04-20 Selma Franca , Fabian Hassler , Ion Cosma Fulga

The concept of Chern insulators is one of the most important buliding block of topological physics, enabling the quantum Hall effect without external magnetic fields. The construction of Chern insulators has been typically through an…

介观与纳米尺度物理 · 物理学 2024-07-24 Sungjong Woo , Seungbum Woo , Jung-Wan Ryu , Hee Chul Park

A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

介观与纳米尺度物理 · 物理学 2026-01-06 Ming-Jian Gao , Jun-Hong An

We study adatom-covered single layers of CrSiTe$_3$ and CrGeTe$_3$ using first-principles calculations based on hybrid functionals. We find that the insulating ground state of a monolayer of La (Lu) deposited on single-layer CrSiTe$_3$…

材料科学 · 物理学 2016-12-21 Jianpeng Liu , Se Young Park , Kevin F. Garrity , David Vanderbilt

Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the \nu=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific…

We propose a novel way of modulating exceptional topology by implementing Floquet engineering in non-hermitian (NH) systems. We introduce Floquet exceptional topological insulator which results from shining light on a conventional…

介观与纳米尺度物理 · 物理学 2024-02-23 Gaurab Kumar Dash , Subhajyoti Bid , Manisha Thakurathi

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

介观与纳米尺度物理 · 物理学 2009-12-16 Andrew M. Essin , J. E. Moore

Energy or quasienergy (QE) band spectra depending on two parameters may have a nontrivial topological characterization by Chern integers. Band spectra of 1D systems that are spanned by just one parameter, a Bloch phase, are topologically…

介观与纳米尺度物理 · 物理学 2017-10-02 Itzhack Dana

Chern numbers can be calculated within a frame of vortex fields related to phase conventions of a wave function. In a band protected by gaps the Chern number is equivalent to the total number of flux carrying vortices. In the presence of…

介观与纳米尺度物理 · 物理学 2022-10-14 Axel Fünfhaus , Thilo Kopp , Elias Lettl

In the framework of the tight binding approximation, we study a non-interacting model on the three-component dice lattice with real nearest-neighbor and complex next-nearest-neighbor hopping subjected to $\Lambda$- or V-type sublattice…

量子气体 · 物理学 2020-05-19 Shujie Cheng , Gao Xianlong

The topological response to external perturbations is an effective probe to characterize different topological phases of matter. Besides the Hall conductance, the Hall viscosity is another example of such a response that measures how…

介观与纳米尺度物理 · 物理学 2015-11-03 Hassan Shapourian , Taylor L. Hughes , Shinsei Ryu

In temporal gauge A_{0}=0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators of Wilson lines (knot invariants), where only the crossing…

高能物理 - 理论 · 物理学 2015-05-14 Alexei Morozov , Andrey Smirnov

Higher-order topological phases and real topological phases are two emerging topics in topological states of matter, which have been attracting considerable research interest. However, it remains a challenge to find realistic materials that…

材料科学 · 物理学 2021-09-01 Cong Chen , Weikang Wu , Zhi-Ming Yu , Ziyu Chen , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang

Topological phases with broken time-reversal symmetry and Chern number |C|>=2 are of fundamental interest, but it remains unclear how to engineer the desired topological Hamiltonian within the paradigm of spin-orbit-coupled particles…

量子气体 · 物理学 2021-06-09 Abhijeet Alase , David L. Feder

Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which enables unprecedented…

介观与纳米尺度物理 · 物理学 2023-09-06 Tianzi Li , Luohong Liu , Qicheng Zhang , Chunyin Qiu
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