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Weyl semimetals are phases of matter with gapless electronic excitations that are protected by topology and symmetry. Their properties depend on the dimensions of the systems. It has been theoretically demonstrated that five-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Xingen Zheng , Tian Chen , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

A theory for nontrivial topology of band structure in metallic helimagnets is developed. Two theorems on electron dispersion in helimagnets are proved. They reveal a Kramers-like degeneracy in helical magnetic field. The generalized Bloch…

Other Condensed Matter · Physics 2024-12-24 Yu. B. Kudasov

The topological characteristics of photonic crystals have been the subject of intense research in recent years. Despite this, the basic question of whether photonic band topology is rare or abundant -- i.e., its relative prevalence --…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Ali Ghorashi , Sachin Vaidya , Mikael Rechtsman , Wladimir Benalcazar , Marin Soljačić , Thomas Christensen

The co-occurrence of phase transitions with local and global order parameters, such as the entangled magnetization and topological invariant, is attractive but has been seldom realized experimentally. Here, by using high-pressure in-situ…

Macroscopic two-dimensional sonic crystals with inversion symmetry are studied to reveal higher-order topological physics in classical wave systems. By tuning a single geometry parameter, the band topology of the bulk and the edges can be…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zhan Xiong , Zhi-Kang Lin , Hai-Xiao Wang , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

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

We compare two crystallographic phases of the low-dimensional WP$_2$ to better understand features of electron-electron and electron-phonon interactions in topological systems. The topological $\beta$-phase, a Weyl semimetal with a giant…

Strongly Correlated Electrons · Physics 2020-08-19 Dirk Wulferding , Peter Lemmens , Florian Büscher , David Schmeltzer , Claudia Felser , Chandra Shekhar

New materials with magnetic order driven topological phases are hugely sought after for their immense application potential. In this work, we propose a new compound EuMn$_2$Bi$_2$ from our first principles density functional theory…

Materials Science · Physics 2024-02-05 Amarjyoti Choudhury , T. Maitra

Transition metal dichalcogenides (TMDs) are a branch of two-dimensional materials which in addition to having an easy-to-exfoliate layered structure, also host semiconducting, metallic, superconducting, and topological properties in various…

Superconductivity · Physics 2023-01-25 Suvodeep Paul , Saswata Talukdar , Ravi Shankar Singh , Surajit Saha

Topology, a well-established concept in mathematics, has nowadays become essential to describe condensed matter. At its core are chiral electron states on the bulk, surfaces and edges of the condensed matter systems, in which spin and…

Materials Science · Physics 2022-05-13 Claudia Felser , Johannes Gooth

Topological insulators are a novel state of matter that share a common feature: their spectral bands are associated with a nonlocal integer-valued index, commonly manifesting through quantized bulk phenomena and robust boundary effects. In…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ioannis Petrides , Oded Zilberberg

Polymorphic phases and collective phenomena - such as charge density waves (CDWs) - in transition metal dichalcogenides (TMDs) dictate the physical and electronic properties of the material. Most TMDs naturally occur in a single given…

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

Applied Physics · Physics 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

The exciting discovery of topological condensed matter systems has lately triggered a search for their photonic analogs, motivated by the possibility of robust backscattering-immune light transport. However, topological photonic phases have…

Magnetic topological materials are a class of compounds which can host massless electrons controlled by the magnetic order. One such compound is EuZn$_2$Sb$_2$, which has recently garnered interest due to its strong interplay between the Eu…

Strongly Correlated Electrons · Physics 2026-02-17 Yu Wei Soh , Hsiang Lee , Eugen Weschke , Shinichi Nishihaya , Mikhael T. Sayat , Masaki Uchida , Jian-Rui Soh

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

Characterized by bulk Dirac or Weyl cones and surface Fermi-arc states, topological semimetals have sparked enormous research interest in recent years. The nanostructures, with large surface-to-volume ratio and easy field-effect gating,…

Mesoscale and Nanoscale Physics · Physics 2020-05-01 An-Qi Wang , Xing-Guo Ye , Da-Peng Yu , Zhi-Min Liao

Topological classification in our previous paper [K. Shiozaki and M. Sato, Phys. Rev. B ${\bf 90}$, 165114 (2014)] is extended to nonsymmorphic crystalline insulators and superconductors. Using the twisted equivariant $K$-theory, we…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Ken Shiozaki , Masatoshi Sato , Kiyonori Gomi

Topological surface states, a new kind of electronic state of matter, have recently been observed on the cleaved surfaces of crystals of a handful of small band gap semiconductors. The underlying chemical factors that enable these states…

Materials Science · Physics 2013-07-19 R. J. Cava , Huiwen Ji , M. K. Fuccillo , Q. D. Gibson , Y. S. Hor

A topological superconductor, characterized by either a chiral order parameter or a chiral topological surface state in proximity to bulk superconductivity, is foundational to topological quantum computing. As in other topological phases of…

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