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We study gauging interfaces and their defect descendants in lattice models with generalized symmetries in higher dimensions. We construct explicit interface Hamiltonians for gauging a $\mathbb Z_2^{(0)}$ symmetry in $(2+1)d$ and a $\mathbb…

Strongly Correlated Electrons · Physics 2026-05-14 David Hofmeier , Giovanna Pimenta , Weiguang Cao

Combinatorial gauge symmetry is a principle that allows us to construct lattice gauge theories with two key and distinguishing properties: a) only one- and two-body interactions are needed; and b) the symmetry is exact rather than emergent…

Strongly Correlated Electrons · Physics 2023-09-28 Hongji Yu , Dmitry Green , Andrei E. Ruckenstein , Claudio Chamon

Artificial magnetic fields and spin-orbit couplings have been recently generated in ultracold gases in view of realizing topological states of matter and frustrated magnetism in a highly-controllable environment. Despite being dynamically…

We show some new properties of the acoustic propagation in two-dimensional sonic crystals, formed by parallel rigid cylinders placed in air. The transmission through slabs of sonic crystals and the associated band structures are considered.…

Materials Science · Physics 2009-11-10 Liang-Shan Chen , Chao-Hsien Kuo , Zhen Ye

Can high energy physics be simulated by low-energy, non-relativistic, many-body systems, such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in…

Quantum Physics · Physics 2015-12-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

The usual condensed matter lattice theories do not include dynamical electromagnetic (EM) field and do not have higher symmetries naturally (unless we engineer fine-tuned toy models to realize higher symmetries). However, for gapped…

Strongly Correlated Electrons · Physics 2019-05-29 Xiao-Gang Wen

Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and…

Theoretical, numerical and experimental results examining thermoviscous losses in sonic crystals are presented in this work, enabling the fabrication and characterization of an acoustic metamaterial absorber with complex-valued anisotropic…

Materials Science · Physics 2015-06-19 Matthew D. Guild , Victor M. Garcia-Chocano , Weiwei Kan , José Sánchez-Dehesa

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

We study a one-dimensional ladder of two coupled XXZ spin chains and identify several distinct gapless symmetry-enriched critical phases. These have the same unbroken symmetries and long-wavelength description, but cannot be connected…

Strongly Correlated Electrons · Physics 2024-04-30 Suman Mondal , Adhip Agarwala , Tapan Mishra , Abhishodh Prakash

Spontaneous symmetry breaking is a fundamental concept in many areas of physics, ranging from cosmology and particle physics to condensed matter. A prime example is the breaking of spatial translation symmetry, which underlies the formation…

Crystals are the materials which can be described by uniform periodic lattices. Traditionally, only the 1-, 2-, 3-, 4- and 6-fold rotation symmetries are allowed in crystals because other n-fold rotation symmetries are forbidden by the…

Materials Science · Physics 2013-12-02 Chaoyu He , Jianxin Zhong

Previous symmetry-based database searches have already revealed ubiquitous band topology in nature, while the destiny of band topology under symmetry-breaking is yet to be studied comprehensively. Here we first develop a framework allowing…

Materials Science · Physics 2024-12-04 Feng Tang , Xiangang Wan

Finding an optimal match between two different crystal structures underpins many important materials science problems, including describing solid-solid phase transitions, developing models for interface and grain boundary structures. In…

Materials Science · Physics 2020-02-21 Félix Therrien , Peter Graf , Vladan Stevanović

Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or…

History and Philosophy of Physics · Physics 2024-10-18 Philipp Berghofer , Jordan François , Simon Friederich , Henrique Gomes , Guy Hetzroni , Axel Maas , René Sondenheimer

Quantum field theories can exhibit various generalized symmetry structures, among which higher-group symmetries and non-invertible symmetry defects are particularly prominent. In this work, we explore a new general scenario in which these…

High Energy Physics - Theory · Physics 2025-08-13 Adrien Arbalestrier , Riccardo Argurio , Luigi Tizzano

Usually $Z_2$ topological insulators are protected by time reversal symmetry. Here, we present a new type of $Z_2$ topological insulators in a cubic lattice which is protected by a novel hidden symmetry, while time reversal symmetry is…

Mesoscale and Nanoscale Physics · Physics 2017-12-07 Jing-Min Hou , Wei Chen

Condensed matter physics of gauge theories coupled to fermions can exhibit a rich phase structure, but are nevertheless very difficult to study in Monte Carlo simulations when they are afflicted by a sign problem. As an alternate approach,…

High Energy Physics - Lattice · Physics 2023-03-08 Paolo Stornati , Philipp Krah , Karl Jansen , Debasish Banerjee

Topological crystalline phases in electronic structures can be generally classified using the spatial symmetry characters of the valence bands and mapping them onto appropriate symmetry indicators. These mappings have been recently applied…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Sander H. Kooi , Guido van Miert , Carmine Ortix

Fractonic phases are new phases of matter that host excitations with restricted mobility. We show that a certain class of gapless fractonic phases are realized as a result of spontaneous breaking of continuous higher-form symmetries whose…

Strongly Correlated Electrons · Physics 2024-02-21 Yuji Hirono , Minyoung You , Stephen Angus , Gil Young Cho