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Active matter is not only indispensable to our understanding of diverse biological processes, but also provides a fertile ground for discovering novel physics. Many emergent properties impossible for equilibrium systems have been…

Soft Condensed Matter · Physics 2022-05-27 Thibault Bertrand , Chiu Fan Lee

The coupling between two or more objects can generally be categorized as strong or weak. In cavity quantum electrodynamics for example, when the coupling strength is larger than the loss rate the coupling is termed strong, and otherwise it…

Quantum Physics · Physics 2022-07-12 C. A. Downing , A. J. Toghill

We review theoretical developments in studies of dense matter and its phase structure of relevance to compact stars. Observational data on compact stars, which can constrain the properties of dense matter, are presented critically and…

Astrophysics · Physics 2008-11-26 Dany Page , Sanjay Reddy

We present a novel M-theoretic approach of constructing and classifying anyonic topological phases of matter, by establishing a correspondence between (2+1)d topological field theories and non-hyperbolic 3-manifolds. In this construction,…

High Energy Physics - Theory · Physics 2020-12-30 Gil Young Cho , Dongmin Gang , Hee-Cheol Kim

There seems to be a one to one correspondence between the phases of atomic and molecular matter (AMOM) and vortex matter (VM) in superfluids and superconductors. Crystals, liquids and glasses have been experimentally observed in both AMOM…

Superconductivity · Physics 2007-05-23 Wei Zhang , C. A. R. Sa de Melo

A new point of view about the deep origin of thermodynamic phase transitions is sketched. The main idea is to link the appearance of phase transitions to some major topology change of suitable submanifolds of phase space instead of linking…

Statistical Mechanics · Physics 2017-08-23 Marco Pettini , Roberto Franzosi , Lionel Spinelli

We study topological states of matter in quasicrystals, which do not rely on crystalline orders. In the absence of a bandstructure description and spin-orbit coupling, we show that a three-dimensional quasicrystal can nevertheless form a…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 Zhu-Guang Chen , Cunzhong Lou , Kaige Hu , Lih-King Lim

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

This paper reviews the new highly interdisciplinary research field studying the behavior of condensed matter systems exposed to radiation. The paper highlights several relevant examples of recent advances in the field and provides a roadmap…

One-dimensional discrete-time quantum walks show a rich spectrum of topological phases that have so far been exclusively analysed in momentum space. In this work we introduce an alternative approach to topology which is based on the…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 B. Tarasinski , J. K. Asboth , J. P. Dahlhaus

The study of phases is useful for understanding novel states of matter. One such state of matter are time crystals which constitute periodically driven interacting many-body systems that spontaneously break time translation symmetry. Time…

Quantum Gases · Physics 2021-12-24 Arkadiusz Kuros , Rick Mukherjee , Florian Mintert , Krzysztof Sacha

Two-dimensional topological states of matter offer a route to quantum computation that would be topologically protected against the nemesis of the quantum circuit model: decoherence. Research groups in industry, government and academic…

Mathematical Physics · Physics 2016-05-04 Eric C. Rowell

A different perspective on the long-standing problem of amorphous solidification is offered, based on an alternative definition of a solid as a porous medium. General, model-free results are obtained concerning the growing dynamic length…

Disordered Systems and Neural Networks · Physics 2014-06-11 Haim Diamant

Recent discoveries in differential topology are reviewed in light of their possible implications for spacetime models and related subjects in theoretical physics. Although not often noted, a particular smoothness (differentiability)…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Carl H. Brans

In recent years, there has been a surge of interest in higher-order topological phases (HOTPs) across various disciplines within the field of physics. These unique phases are characterized by their ability to harbor topological protected…

Mesoscale and Nanoscale Physics · Physics 2025-04-22 Chunbo Hua , Dong-Hui Xu

Topological phase transitions track changes in topological properties of a system and occur in real materials as well as quantum engineered systems, all of which differ greatly in terms of dimensionality, symmetries, interactions, and…

Statistical Mechanics · Physics 2020-04-02 Paolo Molignini , R. Chitra , Wei Chen

We investigate topological properties of density matrices motivated by the question to what extent phenomena like topological insulators and superconductors can be generalized to mixed states in the framework of open quantum systems. The…

Quantum Physics · Physics 2015-05-01 Jan Carl Budich , Sebastian Diehl

Crystalline $\rm Bi_2Se_3$ is one of the most explored three-dimensional topological insulator, with a $0.3\;\rm eV$ energy gap making it promising for applications. Its amorphous counterpart could bring to light new possibilities for large…

Materials Science · Physics 2021-12-14 Bruno Focassio , Gabriel R. Schleder , F. Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio

In the past decade, more and more charmoniumlike and bottomoniumlike states have been reported in experiments, which have led us to extensive discussions on the underlying structure of these states. In this review paper, we briefly…

High Energy Physics - Phenomenology · Physics 2014-08-01 Xiang Liu

Topological phases in electronic structures contain a new type of topology, called fragile, which can arise, for example, when an Elementary Band Representation (Atomic Limit Band) splits into a particular set of bands. We obtain, for the…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Zhida Song , L. Elcoro , Nicolas Regnault , B. Andrei Bernevig
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