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Crystallographic symmetries enforcing band touchings (BTs) in the Brillouin zone (BZ) have been utilized to classify and predict the topological semimetals. Though the early proposed topological semimetals contain isolated nodal points in…

Materials Science · Physics 2021-07-14 Lin Wu , Feng Tang , Xiangang Wan

After a short review of the principal theories of spiral structure in galaxies, I describe two new developments. First, it now seems clear that linear theory cannot yield a full description for the development of spiral patterns because…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-01 J. A. Sellwood

In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

Spin textures, i.e., the distribution of spin polarization vectors in reciprocal space, exhibit diverse patterns determined by symmetry constraints, resulting in a variety of spintronic phenomena. Here, we propose a universal theory to…

Materials Science · Physics 2024-09-24 Yuntian Liu , Jiayu Li , Pengfei Liu , Qihang Liu

Spin-momentum locking is a unique intrinsic feature of strongly spin-orbit coupled materials and a key to their promise of applications in spintronics and quantum computation. Much of the existing work, in topological and non-topological…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 T. Hakioglu , Wei-Chi Chiu , R. S. Markiewicz , Bahadur Singh , A. Bansil

Spin foam models, loop quantum gravity and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity inspired models with finite groups,…

General Relativity and Quantum Cosmology · Physics 2011-04-01 Benjamin Bahr , Bianca Dittrich , James P. Ryan

Topological nodal-line semimetals (NLSMs) are a new family of topological materials characterized by electronic band crossings that form lines in the Brillouin zone. These NLSMs host exotic nodal-line structures and exhibit distinct…

Strongly Correlated Electrons · Physics 2025-10-30 Po-Yao Chang

In two-dimensional materials electronic band contacts often give non-trivial contribution to materials topological properties. Besides band contacts at high-symmetry points (HSP) in the Brillouin zone (BZ), like those in graphene, there are…

Materials Science · Physics 2023-05-01 Vladimir Damljanovic

In the context of an ever-expanding experimental and theoretical interest in the magnetization dynamics of mesoscopic magnetic structures, both in the classical and quantum regimes, we formulate a low energy field theory for the linear…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Thierry Valet , Kei Yamamoto , Benjamin Pigeau , Grégoire de Loubens , Olivier Klein

Classification of topological insulators and superconductors is manifested in terms of spin cobordism groups for lower dimensions. It is discussed that the periodic table of topological insulators is a result of the possible choices of spin…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Ümit Ertem

Novel phases of two dimensional electron systems resulting from new surface or interface modified electronic structures have generated significant interest in material science. We utilize photoemission spectroscopy to show that the…

Many materials crystallize in structure types that feature a square-net of atoms. While these compounds can exhibit many different properties, some members of this family are topological materials. Within the square-net-based topological…

Materials Science · Physics 2019-08-16 Sebastian Klemenz , Shiming Lei , Leslie M. Schoop

Nodal-sphere semimetals (NSSMs), featuring spherical band degeneracies in momentum space, constitute a fascinating class of topological materials. However, their realization in real materials is severely hampered by discrete…

Materials Science · Physics 2025-10-22 Xiao-jing Gao , Yanfeng Ge , Yan Gao

From the complex motions of robots to the oxygen binding of hemoglobin, the function of many mechanical systems depends on large, coordinated movements of their components. Such movements arise from a network of physical interactions in the…

Soft Condensed Matter · Physics 2019-06-21 Jason Z. Kim , Zhixin Lu , Danielle S. Bassett

Nodal-line semimetals (NLSs) represent a new type of topological semimetallic beyond Weyl and Dirac semimetals in the sense that they host closed loops or open curves of band degeneracies in the Brillouin zone. Parallel to the…

Non-symmorphic symmetries protect Dirac line nodes in square net materials. This phenomenon has been most prominently observed in ZrSiS. Here, we systematically study the symmetry-protected nodal fermions that result from different ways of…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Sebastian Klemenz , Leslie Schoop , Jennifer Cano

Most topological insulators discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the…

Inferring network topology from smooth signals is a significant problem in data science and engineering. A common challenge in real-world scenarios is the availability of only partially observed nodes. While some studies have considered…

Machine Learning · Computer Science 2025-07-08 Chuansen Peng , Hanning Tang , Zhiguo Wang , Xiaojing Shen

In this paper, we explore the interplay between symmetry and fracton order, motivated by the analogous close relationship for topologically ordered systems. Specifically, we consider models with 3D planar subsystem symmetry, and show that…

Strongly Correlated Electrons · Physics 2020-06-01 Yizhi You , Trithep Devakul , F. J. Burnell , S. L. Sondhi

We predict the magnetic and electronic properties of a novel metal-organic framework. By combining density functional theory and density matrix renormalization group approaches, we find the diatomic Kagome crystal structure of the…

Strongly Correlated Electrons · Physics 2025-05-19 Christopher Lane , Yixuan Huang , Lin Hou , Jian-Xin Zhu
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