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Topological quantum phases cannot be characterized by Ginzburg-Landau type order parameters, and are instead described by non-local topological invariants. Experimental platforms capable of realizing such exotic states now include…

Topological insulators are fascinating states of matter exhibiting protected edge states and robust quantized features in their bulk. Here, we propose and validate experimentally a method to detect topological properties in the bulk of…

Topological protection of quantum correlations opens new horizons and opportunities in quantum technologies. A variety of topological effects has recently been observed in qubit networks. However, the experimental identification of the…

介观与纳米尺度物理 · 物理学 2025-06-10 Andrei A. Stepanenko , Maxim A. Gorlach

Searching for topological insulators in solids is one of the main issues of modern condensed matter physics since robust gapless edge or surface states of the topological insulators can be used as building blocks of next-generation devices.…

强关联电子 · 物理学 2023-08-24 Takahiro Misawa , Makoto Naka

In this work we investigate the topological content of the Zak phase in one-dimensional translation-invariant topological insulators endowed with time-reversal, particle-hole and/or chiral symmetries, extending results from…

数学物理 · 物理学 2026-04-28 Federico Manzoni , Domenico Monaco , Gabriele Peluso

Zak phase, which refers to the Berry's phase picked up by a particle moving across the Brillouin zone, characterizes the topological properties of Bloch bands in one-dimensional periodic system. Here the Zak phase in dimerized…

介观与纳米尺度物理 · 物理学 2018-05-23 Weiwei Zhu , Ya-qiong Ding , Jie Ren , Yong Sun , Yunhui Li , Haitao Jiang , Hong Chen

Topological phases are states of matter defined by global topological invariants that remain invariant under adiabatic parameter variations, provided no topological phase transition occurs. This endows them with intrinsic robustness against…

量子物理 · 物理学 2025-05-28 Guang-Chen He , Zhao-Xian Chen , Xiao-Meng Zhang , Ze-Guo Chen , Ming-Hui Lu

We investigate topological phases induced by a driven electric field coupled to a dimer chain (a model for poly-acetylene) at high frequency regime. It is shown how the topological invariant of the system can be controlled by the field…

介观与纳米尺度物理 · 物理学 2017-09-19 Fatemeh Askari Shahid , Hosein Cheraghchi

We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding…

强关联电子 · 物理学 2011-06-07 Michael Freedman , Chetan Nayak , Kirill Shtengel , Kevin Walker , Zhenghan Wang

We introduce a classification scheme for symmetry protected topological phases applicable to stationary states of open systems based on a generalization of the many-body polarization. The polarization can be used to probe the topological…

量子气体 · 物理学 2016-11-15 Dominik Linzner , Lukas Wawer , Fabian Grusdt , Michael Fleischhauer

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

量子气体 · 物理学 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

The Zak phase $\gamma$, the generalization of the Berry phase to Bloch wave functions in solids, is often used to characterize inversion-symmetric 1D topological insulators; however, since its value can depend on the choice of real-space…

强关联电子 · 物理学 2017-01-30 Jun-Won Rhim , Jan Behrends , Jens H. Bardarson

We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-site symmetries we show that the (generalized) third…

无序系统与神经网络 · 物理学 2020-07-29 Joey Li , Amos Chan , Thorsten B. Wahl

The Berry connection plays a central role in our description of the geometric phase and topological phenomena. In condensed matter, it describes the parallel transport of Bloch states and acts as an effective "electromagnetic" vector…

介观与纳米尺度物理 · 物理学 2019-01-31 Giandomenico Palumbo , Nathan Goldman

The topological phases of matter are characterized using the Berry phase, a geometrical phase, associated with the energy-momentum band structure. The quantization of the Berry phase, and the associated wavefunction polarization, manifest…

We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants…

强关联电子 · 物理学 2017-05-31 Hassan Shapourian , Ken Shiozaki , Shinsei Ryu

Crystalline symmetries give rise to topological invariants that can distinguish quantum phases of matter. Understanding these in strongly interacting systems is an ongoing research direction requiring non-perturbative methods. Recent…

强关联电子 · 物理学 2026-04-23 Naren Manjunath , Maissam Barkeshli

Symmetries play a major role in identifying topological phases of matter and in establishing a direct connection between protected edge states and topological bulk invariants via the bulk-boundary correspondence. One-dimensional lattices…

Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

介观与纳米尺度物理 · 物理学 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

We study the topological structure of matter-light excitations, so called polaritons, in a quantum spin Hall insulator coupled to photonic cavity modes. We identify a topological invariant in the presence of time reversal (TR) symmetry, and…

介观与纳米尺度物理 · 物理学 2016-04-27 Alexander Janot , Bernd Rosenow , Gil Refael
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