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Crystal symmetries can enforce all bands of a material to be topological, a property that is commonly referred to as ``supertopology". Here, we determine the symmetry-enforced $\mathbb{Z}_2$ supertopologies of non-magnetic centrosymmetric…

Materials Science · Physics 2025-04-02 Kirill Parshukov , Moritz M. Hirschmann , Andreas P. Schnyder

Superconducting vortices and phase slips are primary mechanisms of dissipation in superconducting, superfluid, and cold atom systems. While the dynamics of vortices is fairly well described, phase slips occurring in quasi-one dimensional…

Superconductivity · Physics 2017-06-01 Gregory Kimmel , Andreas Glatz , Igor S. Aranson

In this work, we examine the topological phases that can arise in triangular lattices with disconnected elementary band representations. We show that, although these phases may be "fragile" with respect to the addition of extra bands, their…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Barry Bradlyn , Zhijun Wang , Jennifer Cano , B. Andrei Bernevig

Point-contact spectroscopy of several non-superconducting topological materials reveals a low temperature phase transition that is characterized by a Bardeen-Cooper-Schrieffer-type of criticality. We find such a behavior of differential…

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications…

Symmetry indicators have proven to be extremely helpful in identifying topologically non-trivial crystalline insulators using symmetry-group representations of their Bloch states. An extension of this approach to superconducting systems…

Superconductivity · Physics 2020-01-29 Anastasiia Skurativska , Titus Neupert , Mark H Fischer

We present a model for a topological quasicrystalline system which is suitable for realisation in cold-atom experiments. We define the model in terms of complex momentum-space couplings which break time-reversal symmetry (TRS), and detail…

Quantum Gases · Physics 2026-01-27 Benedict Burgess , Nigel Cooper

New materials such as nodal-line semimetals offer a unique setting for novel transport phenomena. Here, we calculate the quantum correction to conductivity in a disordered nodal-line semimetal. The torus-shaped Fermi surface and encircled…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 Wei Chen , Hai-Zhou Lu , Oded Zilberberg

A number of tools have been developed to detect topological phase transitions in strongly correlated quantum systems. They apply under different conditions, but do not cover the full range of many-body models. It is hence desirable to…

Strongly Correlated Electrons · Physics 2021-01-05 Sourav Manna , N. S. Srivatsa , Julia Wildeboer , Anne E. B. Nielsen

When subjected to quasiperiodic driving protocols, superconducting systems have been found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond static and Floquet systems. However, the presence of incommensurate…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Zihao Qi , Ilyoun Na , Gil Refael , Yang Peng

Altermagnet-superconductor heterostructures have been shown, in principle, to provide a route towards realising topological superconductivity, and therefore host topologically protected boundary states. In this work we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 George McArdle , Brian Kiraly , Peter Wadley , Adam Gammon-Smith

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors…

Superconductivity · Physics 2015-05-26 Andreas P. Schnyder , P. M. R. Brydon

As an important class of systems with unique topological effects beyond the periodic lattices, quasiperiodic topological structures have attracted much attention in recent years. Due to the quasiperiodic modulation, the topological states…

Applied Physics · Physics 2020-08-25 Juan Song , Fengqing Yang , Zhiwei Guo , Youqi Chen , Haitao Jiang , Yunhui Li , Hong Chen

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

In the last two decades, a vast variety of topological phases have been described, predicted, classified, proposed, and measured. While there is a certain unity in method and philosophy, the phenomenology differs wildly. This work deals…

Strongly Correlated Electrons · Physics 2023-01-31 Lorenz P. Mayer

The topological classification of gapped band structures depends on the particular definition of topological equivalence. For translation-invariant systems, stable equivalence is defined by a lack of restrictions on the numbers of occupied…

Mesoscale and Nanoscale Physics · Physics 2024-01-29 Piet W. Brouwer , Vatsal Dwivedi

The string-net approach by Levin and Wen and the local unitary transformation approach by Chen, Gu and Wen provided ways to systematically label non-chiral topological orders in 2D. In those approaches, different topologically ordered…

Strongly Correlated Electrons · Physics 2014-01-28 Fangzhou Liu , Zhenghan Wang , Yi-Zhuang You , Xiao-Gang Wen

Recently, the stability of certain topological phases of matter under weak perturbations was proven. Here, we present a short, alternate proof of the same result. We consider models of topological quantum order for which the unperturbed…

Mathematical Physics · Physics 2015-05-18 S. Bravyi , M. B. Hastings

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…

Strongly Correlated Electrons · Physics 2026-04-23 Naren Manjunath , Maissam Barkeshli