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"Strange" correlators provide a tool to detect topological phases arising in many-body models by computing the matrix elements of suitably defined two-point correlations between the states under investigation and trivial reference states.…

Strongly Correlated Electrons · Physics 2023-07-07 Luca Lepori , Michele Burrello , Andrea Trombettoni , Simone Paganelli

The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are…

It is shown that three-dimensional systems of coupled quantum wires support fractional topological phases composed of closed loops and open planes of two-dimensional fractional quantum Hall subsystems. These phases have topologically…

Mesoscale and Nanoscale Physics · Physics 2015-10-13 Tobias Meng

We present a general approach to the bulk-boundary correspondence of noninvertible topological phases, including both topological and fracton orders. This is achieved by a novel bulk construction protocol where solvable $(d+1)$-dimensional…

Strongly Correlated Electrons · Physics 2024-01-31 Shang Liu , Wenjie Ji

We analyze the robustness of topological order in the toric code in an open boundary setting in the presence of perturbations. The boundary conditions are introduced on a cylinder, and are classified into condensing and non-condensing…

Strongly Correlated Electrons · Physics 2018-12-24 Amit Jamadagni , Hendrik Weimer , Arpan Bhattacharyya

We study the dissipative dynamics of a one-dimensional bosonic system described in terms of the bipartite Bose-Hubbard model with alternating gain and loss. This model exhibits the $\mathcal{PT}$ symmetry under some specific conditions and…

Quantum Gases · Physics 2023-03-07 Cătălin Paşcu Moca , Doru Sticlet , Balázs Dóra , Gergely Zaránd

The bulk-boundary correspondence is a key concept in topological quantum materials. For instance, a quantum spin Hall insulator features a bulk insulating gap with gapless helical boundary states protected by the underlying Z2 topology.…

Nonlinear transport has emerged as a powerful approach to probe the quantum geometry of electronic wavefunctions, such as Berry curvature and quantum metric, in topological materials. While nonlinear responses governed by bulk quantum…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Deyi Zhuo , Xiaoda Liu , Huu-Thong Le , Annie G. Wang , Han Tay , Bomin Zhang , Ling-Jie Zhou , Binghai Yan , Chao-Xing Liu , Cui-Zu Chang

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

Strongly Correlated Electrons · Physics 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

In Hermitian systems, according to the bulk-edge correspondence interfacing two topological optical media with different bulk topological numbers implies the existence of edge states, which can trap light at the interface. However, such a…

Optics · Physics 2021-12-21 Stefano Longhi

Topology forms a cornerstone in modern condensed matter and statistical physics, offering a new framework to classify the phases and phase transitions beyond the traditional Landau paradigm. However, it is widely believed that topological…

Strongly Correlated Electrons · Physics 2026-01-05 Xue-Jia Yu , Limei Xu , Hai-Qing Lin

It was recently found that, going beyond the tendfold Altland-Zirnbauer symmetry classes and violating the bulk-boundary correspondence of the usual topological phases, PT-invariant systems support a real Chern insulator with the so-called…

Mesoscale and Nanoscale Physics · Physics 2025-07-10 Hong Wu , Jun-Hong An

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an…

Strongly Correlated Electrons · Physics 2023-05-12 Ranjith R Kumar , Nilanjan Roy , Y R Kartik , S Rahul , Sujit Sarkar

We explain how (perturbed) boundary conformal field theory allows us to understand the tunneling of edge quasiparticles in non-Abelian topological states. The coupling between a bulk non-Abelian quasiparticle and the edge is due to resonant…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

Bulk-boundary correspondence is the foundational principle of topological physics, first established in the quantum Hall effect, where a $D$-dimensional topologically nontrivial bulk gives rise to $(D-1)$-dimensional boundary states. The…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Hau Tian Teo , Yang Long , Hong-yu Zou , Kailin Song , Haoran Xue , Yong Ge , Shou-qi Yuan , Hong-xiang Sun , Baile Zhang

Symmetry-protected topological phases protected by crystalline symmetries and internal symmetries are shown to enjoy a fascinating one-to-one correspondence in classification. Here we investigate the physics content behind the abstract…

Strongly Correlated Electrons · Physics 2026-05-07 Jian-Hao Zhang , Shang-Qiang Ning

The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Hao Hu , Song Han , Yihao Yang , Dongjue Liu , Haoran Xue , Gui-Geng Liu , Zheyu Cheng , Qi Jie Wang , Shuang Zhang , Baile Zhang , Yu Luo

We experimentally demonstrate a dynamical classification approach for investigation of topological quantum phases using a solid-state spin system through nitrogen-vacancy (NV) center in diamond. Similar to the bulkboundary correspondence in…

Mesoscale and Nanoscale Physics · Physics 2019-12-04 Ya Wang , Wentao Ji , Zihua Chai , Yuhang Guo , Mengqi Wang , Xiangyu Ye , Pei Yu , Long Zhang , Xi Qin , Pengfei Wang , Fazhan Shi , Xing Rong , Dawei Lu , Xiong-Jun Liu , Jiangfeng Du