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Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

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

Dirac-Weyl fermions are massless relativistic particles with a well-defined helicity which arise in the context of high-energy physics. Here we propose a quantum simulation of these paradigmatic fermions using multicomponent ultracold atoms…

Quantum Gases · Physics 2012-01-04 Z. Lan , N. Goldman , A. Bermudez , W. Lu , P. Ohberg

Breaking time-reversal symmetry in a Dirac semimetal Cd$_3$As$_2$ through doping with magnetic ions or by the magnetic proximity effect is expected to cause a transition to other topological phases (such as a Weyl semimetal). To this end,…

The Weyl semimetal WTe$_{2}$ has shown several correlated electronic behaviors, such as the quantum spin Hall effect, superconductivity, ferroelectricity, and a possible exciton insulator state, all of which can be tuned by various physical…

In the present work, we investigated the electronic and elastic properties in equilibrium and under strain of the type-II Dirac semimetal NiTe$_2$ using density functional theory (DFT). Our results demonstrate the tunability of Dirac nodes'…

We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an…

Materials Science · Physics 2016-05-11 Benjamin J. Wieder , Youngkuk Kim , A. M. Rappe , C. L. Kane

The interplay between magnetism and electronic topology offers a powerful route to realizing emergent quantum phases. Here, we show that Zn substitution in the layered compound EuMn$_2$Sb$_2$ drives a transition from a C-type…

Materials Science · Physics 2026-04-29 Deep Sagar , Arti Kashyap

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

Topological characteristics of energy bands, such as Dirac/Weyl nodes, have attracted substantial interest in condensed matter systems as well as in classical wave systems. Among these energy bands, the type-II Dirac point is a nodal…

Quite recently a novel variety of unconventional fourfold linear band degeneracy points has been discovered in certain condensed-matter systems. Contrary to the standard 3-D Dirac monopoles, these quadruple points referred to as the…

Optics · Physics 2019-12-17 Mengying Hu , Kun Ding , Tong Qiao , Xi Jiang , Qiang Wang , Shining Zhu , Hui Liu

Based on $k\cdot p$ analysis and realistic tight-binding calculations, we find that time-reversal-breaking Weyl semimetals can be realized in magnetically-doped (Mn, Eu, Cr etc.) Sn$_{1-x}$Pb$_x$(Te,Se) class of topological crystalline…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 Junwei Liu , Chen Fang , Liang Fu

The recent discovery of topological Dirac semimetals (DSM) has provoked intense curiosity not only on Weyl physics in solids, but also on topological phase transitions originating from DSM. One example is controlling the dimensionality to…

Using an evolutionary algorithm in combination with first-principles density functional theory calculations, we identify two-dimensional (2D) CaP$_3$ monolayer as a new Dirac semimetal due to inversion and nonsymmorphic spatial symmetries…

Materials Science · Physics 2023-03-06 Seoung-Hun Kang , Wei Luo , Sinchul Yeom , Yaling Zheng , Mina Yoon

The electronic spectra of altermagnets are a fertile ground for nontrivial topology due to the unique interplay between time-reversal and crystalline symmetries. This is reflected in the unconventional Zeeman splitting between bands of…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Daniil S. Antonenko , Rafael M. Fernandes , Jorn W. F. Venderbos

Altermagnetism exhibits zero net magnetization and spin-splitting electronic structure. The interplay between altermagnetism and topological physics becomes an important topic in the condensed matter physics. In this letter, we propose that…

Materials Science · Physics 2025-09-03 Xue He , Shihao Zhang

A partially filled Landau level (LL) hosts a variety of correlated states of matter with unique properties. The ability to control these phases requires tuning the effective electron interactions within a LL, which has been difficult to…

Mesoscale and Nanoscale Physics · Physics 2011-12-20 Z. Papić , D. A. Abanin , Y. Barlas , R. N. Bhatt

High-order topological charge is of intensive interest in the field of topological matters. In real materials, cubic Dirac point is rare and the chiral charge of one Weyl point (WP) has never be found to exceed |C| = 3 for spin- 1/2…

Materials Science · Physics 2021-10-04 Peng-Jen Chen , Wan-Ju Li , Ting-Kuo Lee

The Dirac equation for relativistic electron waves is the parent model for Weyl and Majorana fermions as well as topological insulators. Simulation of Dirac physics in three-dimensional photonic crystals, though fundamentally important for…

Optics · Physics 2017-11-27 Hai-Xiao Wang , Yige Chen , Zhi Hong Hang , Hae-Young Kee , Jian-Hua Jiang

Recent research in 2-dimensional (2D) topological matter has generalized the notion of edge states from chiral to antichiral configurations with the same propagating direction at parallel edges, revealing a rich variety of robust transport…

Quantum Physics · Physics 2025-06-24 Xian-Hao Wei , Xi-Wang Luo , Mu Yang , Yu-Wei Liao , Jin-Shi Xu , Guang-Can Guo , Zheng-Wei Zhou