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Symmetry is central to how we classify phases of matter: solids break spatial translations, superfluids break particle-number conservation, and superconductors "break" gauge symmetry. Mixed anomalies involving higher-form symmetries,…

Superconductivity · Physics 2025-11-04 Michael J Landry , Mingda Li

Electronic states in quasiperiodic crystals generally preclude a Bloch description, rendering them simultaneously fascinating and enigmatic. Owing to their complexity and relative scarcity, quasiperiodic crystals are underexplored relative…

Magnetic skyrmions are topological magnetic structures, which exhibit quasi-particle properties and can show enhanced stability against perturbation from thermal noise. Recently, thermal Brownian diffusion of these quasi-particles has been…

A new method of metric space investigation, based on classification of its finite subspaces, is suggested. It admits to derive information on metric space properties which is encoded in metric. The method describes geometry in terms of only…

Metric Geometry · Mathematics 2007-05-23 Yuri A. Rylov

Topological superconductors are exotic phases of matter featuring robust surface states that could be leveraged for topological quantum computation. A useful guiding principle for the search of topological superconductors is to relate the…

Superconductivity · Physics 2020-05-05 Seishiro Ono , Hoi Chun Po , Haruki Watanabe

A wide variety of real random composites can be studied by means of prototypes of multiphase microstructures with a controllable spatial inhomogeneity. To create them, we propose a versatile model of randomly overlapping super-spheres of a…

Materials Science · Physics 2017-09-26 D. Frączek , R. Piasecki , W. Olchawa , R. Wiśniowski

In the first of two articles, we present here a novel mesoscopic micromagnetic approach for simulating materials composed of ferromagnetic and antiferromagnetic phases. Starting with the atomistic modeling of quasi one-dimensional systems,…

Materials Science · Physics 2023-10-02 Sergey Erokhin , Dmitry Berkov , Andreas Michels

Ferromagnetism is an iconic example of a first-order phase transition taking place in spatially extended systems and is characterized by hysteresis and the formation of domain walls. In this paper we demonstrate that an extended atomic…

The one dimensional dilute Kondo lattice model is investigated by means of bosonization for different dilution patterns of the array of impurity spins. The physical picture is very different if a commensurate or incommensurate doping of the…

Strongly Correlated Electrons · Physics 2009-11-10 M. Gulacsi , I. P. McCulloch , A. Juozapavicius , A. Rosengren

The influence of a uniform external magnetic field on the dynamical spin response of cuprate superconductors in the superconducting state is studied based on the kinetic energy driven superconducting mechanism. It is shown that the magnetic…

Superconductivity · Physics 2008-11-05 Jingge Zhang , Li Cheng , Huaiming Guo , Shiping Feng

We study the order parameter symmetry in a hexagonal crystal with co-existing superconductivity and ferromagnetism. An experimental example is provided by carbon-based materials, such as graphite-sulfur composites, in which an evidence of…

Superconductivity · Physics 2009-11-07 K. V. Samokhin

Symmetry formulated by group theory plays an essential role with respect to the laws of nature, from fundamental particles to condensed matter systems. Here, by combining symmetry analysis and tight-binding model calculations, we elucidate…

Materials Science · Physics 2022-11-04 Pengfei Liu , Jiayu Li , Jingzhi Han , Xiangang Wan , Qihang Liu

Geometric representations provide a principled framework for structuring the description of latent constructs and clarifying sources of uncertainty in their dimensional characterisation. We introduce a novel geometric representation of…

Combinatorics · Mathematics 2025-06-24 Mario Angelelli

Recent series of articles (B.M. Tanygin, 2011-2012) has been aimed to study flexomagnetoelectric properties of magnetically ordered crystals by means of a magnetic point symmetry description. Besides its fundamental interest (complete…

Strongly Correlated Electrons · Physics 2015-04-09 B. M. Tanygin

We propose the Landau model for lock-in phase transitions in uniaxially modulated improper ferroelectric incommensurate-commensurate systems of class I. It includes Umklapp terms of third and fourth order and secondary order parameter…

Materials Science · Physics 2009-10-31 M. Latkovic , A. Bjelis , V. Dananic

Geometric information such as the space groups and crystal systems plays an important role in the properties of crystal materials. Prediction of crystal system and space group thus has wide applications in crystal material property…

Materials Science · Physics 2021-05-18 Yuxin Li , Rongzhi Dong , Wenhui Yang , Jianjun Hu

Superhard materials with good fracture toughness have found wide industrial applications, which necessitates the development of accurate hardness and fracture toughness models for efficient materials design. Although several macroscopic…

Materials Science · Physics 2023-08-07 Jinbin Zhao , Peitao Liu , Jiantao Wang , Jiangxu Li , Haiyang Niu , Yan Sun , Junlin Li , Xing-Qiu Chen

The interplay between quantum geometry and electron correlation has emerged as a compelling paradigm in quantum many-body physics. Recent studies have highlighted the diagnostic utility of quantum geometry in identifying magnetic…

Strongly Correlated Electrons · Physics 2026-04-21 Min-Fong Yang

We introduce a McMillan-Ginzburg-Landau theory to describe the cooperative coexistence of charge-density and superconducting order in two-dimensional crystals. With a free-energy that explicitly accounts for the competition between…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Chuan Chen , Lei Su , A. H. Castro Neto , Vitor M. Pereira

Increasing attention is being focussed on the use of symmetry-adapted functions to describe magnetic structures, structural distortions, and incommensurate crystallography. Though the calculation of such functions is well developed,…

Materials Science · Physics 2016-10-04 Zoso Davies , Andrew Wills