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We propose to realize Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger model on a square lattice. We show that a pair of Dirac points protected by space-time inversion symmetry appear in the semimetal phase. The locations of…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Chang-An Li , Sang-Jun Choi , Song-Bo Zhang , Björn Trauzettel

A topological Dirac semimetal is a novel state of quantum matter which has recently attracted much attention as an apparent 3D version of graphene. In this paper, we report critically important results on the electronic structure of the 3D…

We report the realization of novel symmetry-protected Dirac fermions in a surface-doped two-dimensional (2D) semiconductor, black phosphorus. The widely tunable band gap of black phosphorus by the surface Stark effect is employed to achieve…

Topological phase transitions, which have fascinated generations of physicists, are always demarcated by gap closures. In this work, we propose very simple 2D photonic crystal lattices with gap closure points, i.e. band degeneracies…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Jun Yu Lin , Nai Chao Hu , You Jian Chen , Ching Hua Lee , Xiao Zhang

Dirac-like cones, featuring conical linear dispersions intersecting with flat bands, typically arise from accidental degeneracy of multiple modes that requires precise tuning of material and structural parameters, inherently limiting their…

Optics · Physics 2025-07-15 Muxuan Yang , Dongyang Yan , Lei Gao , Wei Liu , Yun Lai , Yadong Xu , Zhi Hong Hang , Jie Luo

Discrete fermionic and bosonic models for hyperbolic lattices have attracted significant attention across a range of fields since the experimental realization of hyperbolic lattices in metamaterial platforms, sparking the development of…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Ana Djordjević , Marija Dimitrijević Ćirić , Vladimir Juričić

We study the low-energy electronic structure of three-dimensional Dirac semimetal, Cd$_3$(As$_{1-x}$P$_x$)$_2$ [$x$ = 0 and 0.34(3)], by employing the angle-resolved photoemission spectroscopy (ARPES). We observe that the bulk Dirac states…

Holographic quantum matter exploits the AdS/CFT correspondence to study systems in condensed matter physics. An example of these systems are strongly correlated semimetals, which feature a rich phase diagram structure. In this work, we…

High Energy Physics - Theory · Physics 2024-06-04 Sebastián Bahamondes , Ignacio Salazar Landea , Rodrigo Soto-Garrido

Topological band theory predicts a $\mathbb{Z}$ classification of three-dimensional (3D) Dirac semimetals (DSMs) at the single-particle level. Namely, an arbitrary number of identical bulk Dirac nodes will always remain locally stable and…

Strongly Correlated Electrons · Physics 2022-11-09 Sheng-Jie Huang , Jiabin Yu , Rui-Xing Zhang

Two-dimensional (2D) Dirac states with linear band dispersion have attracted enormous interest since the discovery of graphene. However, to date, 2D Dirac semimetals are still very rare due to the fact that 2D Dirac states are generally…

Nonsymmorphic space group symmetries can generate exotic band-crossings in topological metals and semimetals. Here, based on symmetry analysis and first-principles calculations, we reveal rich band-crossing features in the existing layered…

Materials Science · Physics 2018-01-19 Si Li , Ying Liu , Shan-Shan Wang , Zhi-Ming Yu , Shan Guan , Xian-Lei Sheng , Yugui Yao , Shengyuan A. Yang

Dirac points (DP) in Hermitian systems play a key role in topological phenomena. Their existence in non-Hermitian systems is then desirable, but the addition of loss or gain transforms DPs into pairs of Exceptional Points (EPs) joined by a…

Optics · Physics 2024-04-10 Pilar Pujol-Closa , Lluis Torner , David Artigas

We study the existence and stability of Dirac nodal lines in three-dimensional layered systems, whose layers individually have Dirac nodal points protected by chiral (sublattice) symmetry. The model system we consider is the rhombohedral…

Mesoscale and Nanoscale Physics · Physics 2017-09-21 Ching-Hong Ho , Cheng-Peng Chang , Ming-Fa Lin

Two-dimensional (2D) metallic altermagnets present exciting opportunities for both fundamental research and practical innovations. Their ability to enhance tunneling magnetoresistance in magnetic tunnel junctions, combined with the direct…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Raghottam M. Sattigeri , Xujia Gong , Amar Fakhredine , Carmine Autieri , Giuseppe Cuono

Dirac materials, starting with graphene, have drawn tremendous research interest in the past decade. Instead of focusing on the $p_z$ orbital as in graphene, we move a step further and study orbital-active Dirac materials, where the orbital…

Strongly Correlated Electrons · Physics 2023-01-16 Shenglong Xu , Congjun Wu

The recently discovered topological Dirac semimetal represents a new exotic quantum state of matter. Topological Dirac semimetals can be viewed as three dimensional analogues of graphene, in which the Dirac nodes are protected by…

Mesoscale and Nanoscale Physics · Physics 2017-06-12 Rui Chen , Dong-Hui Xu , Bin Zhou

Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO(3)$\times$U(1) symmetry. Using large-scale auxiliary-field…

Strongly Correlated Electrons · Physics 2022-02-25 Zi Hong Liu , Matthias Vojta , Fakher F. Assaad , Lukas Janssen

Four-component massive and massless Dirac fermions in the presence of long range Coulomb interaction and chemical potential disorder exhibit striking fermionic quantum criticality. For an odd number of flavors of Dirac fermions, the sign of…

Disordered Systems and Neural Networks · Physics 2015-03-17 Pallab Goswami , Sudip Chakravarty

Recently, the gapless Dirac/Weyl nodal semimetals with linear dispersion and topologically protected modes degeneracy are rapidly growing frontiers of topological physics. Especially, type-I, type-II, and critical type-III nodal semimetals…

Optics · Physics 2022-05-17 Shengyu Hu , Zhiwei Guo , Haitao Jiang , Hong Chen

Massive Dirac fermions, which are essential for realizing novel topological phenomena, are expected to be generated from massless Dirac fermions by breaking the related symmetry, such as time-reversal symmetry (TRS) in topological…