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We study the properties of Nambu monopoles and Z-vortices in the 3D lattice SU(2) Higgs theory which represents the Standard Model at high temperature. We show that the densities of the Nambu monopoles and the Z-vortices are O(1) in the…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , F. V. Gubarev , E. -M. Ilgenfritz , A. Schiller

Concepts from quantum topological states of matter have been extensively utilized in the past decade in creating mechanical metamaterials with topologically protected features, such as one-way edge states and topologically polarized…

Applied Physics · Physics 2022-07-14 Haning Xiu , Harry Liu , Andrea Poli , Guangchao Wan , Ellen M. Arruda , Xiaoming Mao , Zi Chen

Topological boundary modes, a hallmark of quantum topological phases, remarkably occur in classical mechanical systems through an interesting correspondence with the quantum case. Here, we explore the Maxwell lattice frustrated Mott…

Strongly Correlated Electrons · Physics 2026-02-25 Hong-Hao Song , Pengwei Zhao , Gang v. Chen

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

Topological phases in magnetic materials offer novel tunability of topological properties via varying the underlying magnetism. We show that three dimensional Kitaev materials can provide a great opportunity for controlling…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Tomonari Mizoguchi , Yong Baek Kim

Topological magnetic lattices offer a fertile ground for exploring fundamental physics and developing novel spintronic devices. However, current research is predominantly confined to single-Q topologies hosting uniform type of…

Materials Science · Physics 2026-02-10 Xiudong Wang , Zhonglin He , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma

We consider the lattice realization of the Standard Model with an additional $Z_6$ symmetry. Numerical simulations were performed on the asymmetric lattice, which corresponds to the finite temperature theory. Our choice of parameters…

High Energy Physics - Lattice · Physics 2014-11-17 B. L. G. Bakker , A. I. Veselov , M. A. Zubkov

Artificial magnetic honeycomb lattice provides a two-dimensional archetypal system to explore novel phenomena of geometrically frustrated magnets. According to theoretical reports, an artificial magnetic honeycomb lattice is expected to…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , Y. Chen , A. Dahal , D. K. Singh

The notion of magnetic monopoles has puzzled physicists since the introduction of Maxwell's Equations and famously Dirac had hypothesized them in the context of quantum mechanics. While they have proved experimentally elusive as elementary…

Electrically charged particles, such as the electron, are ubiquitous. By contrast, no elementary particles with a net magnetic charge have ever been observed, despite intensive and prolonged searches. We pursue an alternative strategy,…

Strongly Correlated Electrons · Physics 2011-11-08 Claudio Castelnovo , Roderich Moessner , Shivaji L. Sondhi

Liquid crystals have proven to provide a versatile experimental and theoretical platform for studying topological objects such as vortices, skyrmions, and hopfions. In parallel, in hard condensed matter physics, the concept of topological…

Soft Condensed Matter · Physics 2025-02-13 Cuiling Meng , Jin-Sheng Wu , Žiga Kos , Jörn Dunkel , Cristiano Nisoli , Ivan I. Smalyukh

The discovery of novel topological states has served as a major branch in physics and material science. However, to date, most of the established topological states of matter have been employed in Euclidean systems, where the interplay…

Mesoscale and Nanoscale Physics · Physics 2022-07-06 Weixuan Zhang , Hao Yuan , Na Sun , Houjun Sun , Xiangdong Zhang

The noncollinear spin textures provide promising avenues to stabilize exotic magnetic phases and excitations. They have attracted vast attention owning to their nontrivial band topology in the past decades. Distinct from the conventional…

Strongly Correlated Electrons · Physics 2024-05-10 Ken Chen , Qiang Luo , Bin Xi , Hong-Gang Luo , Jize Zhao

The transport on top of a periodic two-dimensional hexagonal magnetic pattern of (i) a single macroscopic steel sphere, (ii) a doublet of wax/magnetite composite spheres, and (iii) an immiscible mixture of ferrofluid droplets with a…

Long ago Weinberg showed, from first principles, that the amplitude for a single photon exchange between an electric current and a magnetic current violates Lorentz invariance. The obvious conclusion at the time was that monopoles were not…

High Energy Physics - Theory · Physics 2019-04-04 John Terning , Christopher B. Verhaaren

We develop a self-contained theoretical framework that classifies the topological phases and critical phenomena of classical pyrochlore magnets with arbitrary spin $S$, subject to competing exchange and single-ion anisotropies. In the…

Strongly Correlated Electrons · Physics 2026-04-07 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe

Twisted homobilayer transition metal dichalcogenide (TMD) offers a versatile platform for exploring band topology, interaction-driven phases, and magnetic orders. We study the interaction-driven phases in twisted TMD homobilayers and their…

Strongly Correlated Electrons · Physics 2024-09-12 Taige Wang , Trithep Devakul , Michael P. Zaletel , Liang Fu

Topological frustration (or topological mechanics) is the existence of classical zero modes that are robust to many but not all distortions of the Hamiltonian. It arises naturally from locality in systems whose interactions form a set of…

Strongly Correlated Electrons · Physics 2022-07-21 Po-Wei Lo , Michael J. Lawler

We study the nearest-neighbor spin-ice model subjected to a magnetic field applied along the global [111] and [110] directions, focusing on the role of sample geometry in stabilizing topological phase transitions. While no Kasteleyn…

Statistical Mechanics · Physics 2026-04-30 R. A. Borzi , E. S. Loscar , S. A. Grigera

We study the evolution of turbulent magnetic fields from a topological point of view, invoking commonplace mathematical tools from general topology and dynamical systems theory which connect magnetic field evolution to time reversal…

High Energy Astrophysical Phenomena · Physics 2021-01-12 Amir Jafari , Ethan Vishniac