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Weyl semimetal is a topologically non-trivial phase of matter with pairs of Weyl nodes in the k-space, which act as monopole and anti-monopole pairs of Berry curvature. Two hallmarks of the Weyl metallic state are the topological surface…

We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, $\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}$ in dimensionless…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Swapnonil Banerjee , Warren E. Pickett

A Weyl semimetal (WSM) is a novel topological phase of matter, in which Weyl fermions (WFs) arise as pseudo-magnetic monopoles in its momentum space. The chirality of the WFs, given by the sign of the monopole charge, is central to the Weyl…

We investigate a three-dimensional (3D) topological phase resembling a Weyl semimetal, modulated by a periodic potential and engineered through Floquet dynamics. This system is constructed by stacking two-dimensional Chern insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Fang Qin , Rui Chen

The presence of a topological phase in a topological many-body system can be distinguished through the analysis of topological invariants. In the present study, the topological invariants for the strongly coupled holographic semimetals have…

High Energy Physics - Theory · Physics 2025-11-27 Xiantong Chen , Xuanting Ji , Ya-Wen Sun

Effective relativistic field theory models capable of realizing various gapless topological states are presented in this work. We study the topological phase transitions of the Weyl and nodal line semimetal states in effective field…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Xuanting Ji , Ya-Wen Sun

In the search for stable topological semimetals with clean band profiles, we have screened all the 3$d$ metal-intercalated transition-metal dichalcogenides (3dI-TMDCs) by performing hybrid-functional-based ab initio calculations. Two…

Strongly Correlated Electrons · Physics 2019-10-08 Takeshi Inoshita , Motoaki Hirayama , Noriaki Hamada , Hideo Hosono , Shuichi Murakami

We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The Weyl semi-metallic phase appears between a resulting quantum…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Pierre Delplace , Jian Li , David Carpentier

Type II Weyl semimetal, a three dimensional gapless topological phase, has drawn enormous interest recently. These topological semimetals enjoy overtilted dispersion and Weyl nodes that separate the particle and hole pocket. Using…

Strongly Correlated Electrons · Physics 2017-08-02 Weizhu Yi , Qiu-Shi Wang , Rui Wang , Baigeng Wang

Weyl semimetals are recently discovered materials supporting emergent relativistic fermions in the vicinity of band-crossing points known as Weyl nodes. The positions of the nodes and the low-energy spectrum depend sensitively on the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Alex Westström , Teemu Ojanen

$\mathsf{Mn_{3}Sn}$ has recently attracted considerable attention as a magnetic Weyl semimetal exhibiting concomitant transport anomalies at room temperature. The topology of the electronic bands, their relation to the magnetic ground state…

A Weyl semimetal is a new state of matter that host Weyl fermions as quasiparticle excitations. The Weyl fermions at zero energy correspond to points of bulk band degeneracy, Weyl nodes, which are separated in momentum space and are…

We study the surface states of a strongly coupled Weyl semimetal within holography. By explicit numerical computation of an inhomogeneous holographic Weyl semimetal we observe the appearance of an electric current restricted to the surface…

High Energy Physics - Theory · Physics 2017-09-07 Martin Ammon , Markus Heinrich , Amadeo Jiménez-Alba , Sebastian Moeckel

The interplay between electronic interactions and strong spin-orbit coupling is expected to create a plethora of fascinating correlated topological states of quantum matter. Of particular interest are magnetic Weyl semimetals originally…

Topological Dirac and Weyl semimetals have an energy spectrum that hosts Weyl nodes appearing in pairs of opposite chirality. Topological stability is ensured when the nodes are separated in momentum space and unique spectral and transport…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 Adolfo G. Grushin , Jorn W. F. Venderbos , Ashvin Vishwanath , Roni Ilan

The recent discovery of Weyl fermions in solids enables exploitation of relativistic physics and development of a spectrum of intriguing physical phenomena. They are constituted of pairs of Weyl points with two-fold band degeneracy, which…

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

Topological states of matter have been a subject of intensive studies in recent years because of their exotic properties such as the topologically protected edge and surface states. The initial studies were exclusively for electron systems.…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Ying Su , X. S. Wang , X. R. Wang

The surface states of Weyl semi-metals (SM's) consist of disjointed Fermi-arcs. This unusual surface-Fermiology provides a fingerprint of the topological features of the bulk Weyl-phase. Using a combination of semiclassical and numerical…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Andrew C. Potter , Itamar Kimchi , Ashvin Vishwanath

By using first-principles calculations, we propose that WC-type ZrTe is a new type of topological semimetal (TSM). It has six pairs of chiral Weyl nodes in its first Brillouin zone, but it is distinguished from other existing TSMs by having…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Hongming Weng , Chen Fang , Zhong Fang , Xi Dai