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Topological quantum matter represents a flexible playground to engineer unconventional excitations. While non-interacting topological single-particle systems have been studied in detail, topology in quantum many-body systems remains an open…

In the presence of crystalline symmetry, topologically ordered states can acquire a host of symmetry-protected invariants. These determine the patterns of crystalline symmetry fractionalization of the anyons in addition to fractionally…

强关联电子 · 物理学 2025-08-21 Ryohei Kobayashi , Yuxuan Zhang , Naren Manjunath , Maissam Barkeshli

The organization of the electrons in the ground state is classified by means of topological invariants, defined as global properties of the wavefunction. Here we address the Chern number of a two-dimensional insulator and we show that the…

强关联电子 · 物理学 2012-01-23 Raffaello Bianco , Raffaele Resta

We introduce a novel gauge-invariant, quantized interband index in two-dimensional (2D) multiband systems. It provides a bulk topological classification of a submanifold of parameter space (e.g., an electron valley in a Brillouin zone), and…

介观与纳米尺度物理 · 物理学 2023-08-17 Tharindu Fernando , Ting Cao

We study the adiabatic topological charge pumping driven by interlayer sliding in the moir\'{e} superlattices. We show that, when we slide a single layer of the twisted bilayer system relatively to the other, a moir\'{e} pattern flow and a…

介观与纳米尺度物理 · 物理学 2020-02-05 Manato Fujimoto , Henri Koschke , Mikito Koshino

Integer and fractional Chern insulators exhibit a nonzero quantized anomalous Hall conductivity due to a spontaneous breaking of time reversal symmetry. To identify nontrivial topology in their time-reversal symmetric many-body spectra, we…

强关联电子 · 物理学 2026-01-21 Axel Fünfhaus , Titus Neupert , Thilo Kopp , Roser Valentí

Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian topological systems, and are a key concept in the contemporary study of non-Hermitian topology. Here we report the dynamic detection of non-Bloch…

介观与纳米尺度物理 · 物理学 2022-01-04 Kunkun Wang , Tianyu Li , Lei Xiao , Yiwen Han , Wei Yi , Peng Xue

As an important figure of merit for characterizing the quantized collective behaviors of the wavefunction, Chern number is the topological invariant of quantum Hall insulators. Chern number also identifies the topological properties of the…

Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such transport is reduced by unwanted dissipation, back-scattering, and non-adiabatic effects. In this…

We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near-field of an atom-chip, which effectively mimics the effects…

The continuous effort towards topological quantum devices calls for an efficient and non-invasive method to assess the conformity of components in different topological phases. Here, we show that machine learning paves the way towards…

无序系统与神经网络 · 物理学 2019-01-24 Marcello D. Caio , Marco Caccin , Paul Baireuther , Timo Hyart , Michel Fruchart

Chern-Simons (CS) invariant is a fundamental topological invariant describing the topological invariance of 3D space based on the Chern-Simons field theory. To date, direct measurement of the CS invariant in a physical system remains…

量子气体 · 物理学 2025-09-09 Chang-Rui Yi , Jinlong Yu , Huan Yuan , Xin Chen , Jia-Yu Guo , Jinyi Zhang , Shuai Chen , Jian-Wei Pan

We investigate the topological phase transition with large Chern number in a coupled layer system. The topological transitions between different topological superfluids can be realized by controlling the binding energy, interlay tunneling…

量子气体 · 物理学 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

The bulk-edge correspondence is a fundamental principle of topological wave physics, which states that the difference in gap Chern numbers between the interfaced materials is equal to the net number of topological edge modes. Although this…

光学 · 物理学 2022-02-09 Samaneh Pakniyat , S. Ali Hassani Gangaraj , George W Hanson

We present two modules that expand functionalities of the all-electron full-potential density functional theory package WIEN2k for computation of the Chern and $Z_2$ topological invariants. Characterization of topological properties relies…

计算物理 · 物理学 2023-08-28 Andres F. Gomez-Bastidas , Oleg Rubel

A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

介观与纳米尺度物理 · 物理学 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

We construct a topological invariant that classifies density matrices of symmetry-protected topological orders in two-dimensional fermionic systems. As it is constructed out of the previously introduced Uhlmann phase, we refer to it as the…

强关联电子 · 物理学 2014-08-26 O. Viyuela , A. Rivas , M. A. Martin-Delgado

Motivated by the outstanding challenge of realizing low-temperature states of quantum matter in synthetic materials, we propose and study an experimentally feasible protocol for preparing topological states such as Chern insulators. By…

量子气体 · 物理学 2020-01-20 S. Barbarino , J. Yu , P. Zoller , J. C. Budich

The hallmark of two-dimensional chiral topological phases is the existence of anomalous gapless modes at the spatial boundary. Yet, the manifestation of this edge anomaly within the bulk ground-state wavefunction itself remains only…

量子物理 · 物理学 2026-04-24 Yarden Sheffer , Ruihua Fan , Ady Stern , Erez Berg , Shinsei Ryu

Interaction-induced topological systems have attracted a growing interest for their exotic properties going beyond the single-particle picture of topological insulators. In particular, the interplay between strong correlations and finite…