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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

Magnetic topological semimetals have attracted intense attention recently since these materials carry a great promise for potential applications in novel spintronic devices. Here, we report an intimate interplay between lattice, Eu magnetic…

Strongly Correlated Electrons · Physics 2022-03-18 Qiang Zhang , Jinyu Liu , Huibo Cao , W. Adam Phelan , J. F. DiTusa , D. Alan Tennant , Zhiqiang Mao

The unique connectivity of kagome lattices gives rise to topological properties, such as flat bands and Dirac cones. When combined with ferromagnetism and a chemical potential near the 2D Dirac points, this structure offers the potential to…

Motivated by the recent experimental breakthroughs in observing Fractional Quantum Anomalous Hall (FQAH) states in moir\'e materials, we propose and study various unconventional phase transitions between quantum Hall phases and Fermi…

Strongly Correlated Electrons · Physics 2024-04-29 Xue-Yang Song , Ya-Hui Zhang , T. Senthil

Recently discovered Dirac semimetals (DSMs) with two Dirac nodes, such as Na$_{3}$Bi and Cd$_{2}$As$_{3}$, are regarded to carry the $\mathbb{Z}_{2}$ topological charge in addition to the chiral charge. Here, we study the Floquet phase…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Xiao-Shi Li , Chen Wang , Ming-Xun Deng , Hou-Jian Duan , Pei-Hao Fu , Rui-Qiang Wang , L. Sheng , D. Y. Xing

We discuss the surface magnetotransport in the quantum Hall (QH) ferromagnetic state expected in the organic Dirac fermion system \alpha-(BEDT-TTF)_2I_3. The QH ferromagnetic state is one of the possible \nu=0 QH states in the…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Toshihito Osada

Three-dimensional Dirac semimetals, a three-dimensional analogue of graphene, are unusual quantum materials with massless Dirac fermions, which can be further converted to Weyl fermions by breaking time reversal or inversion symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 Li-Xian Wang , Cai-Zhen Li , Da-Peng Yu , Zhi-Min Liao

Three-dimensional topological Dirac semimetals (TDSs) are a new kind of Dirac materials that exhibit linear energy dispersion in the bulk and can be viewed as three-dimensional graphene. It has been proposed that TDSs can be driven to other…

Topological semimetals with massless Dirac and Weyl fermions represent the forefront of quantum materials research. In two dimensions (2D), a peculiar class of fermions that are massless in one direction and massive in the perpendicular…

Low energy excitation of surface states of a three-dimensional topological insulator (3DTI) can be described by Dirac fermions. By using a tight-binding model, the transport properties of the surface states in a uniform magnetic field is…

Mesoscale and Nanoscale Physics · Physics 2012-01-16 Yan-Yang Zhang , Xiang-Rong Wang , X. C. Xie

Using first-principles calculation methods, we reveal a series of phase transitions as a function of electron doping in single-layer 1T$'$-MoTe$_2$ and 1T$'$-WTe$_2$ exhibiting quantum spin Hall (QSH) edge states without doping. As…

Strongly Correlated Electrons · Physics 2017-11-23 Jun-Ho Lee , Young-Woo Son

We analyze the stability of time-reversal (${\mathcal T}$) and lattice four-fold ($C_4$) symmetry breaking three-dimensional higher-order topological (HOT) Dirac semimetals (DSMs) and the associated one-dimensional hinge modes in the…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Andras Szabo , Bitan Roy

Progress in the understanding of quantum critical properties of itinerant electrons has been hindered by the lack of effective models which are amenable to controlled analytical and numerically exact calculations. Here we establish that the…

Disordered Systems and Neural Networks · Physics 2016-02-02 J. H. Pixley , Pallab Goswami , S. Das Sarma

Time-reversal broken Weyl semimetals have attracted much attention recently, but certain aspects of their behavior, including the evolution of their Fermi surface topology and anomalous Hall conductivity with Fermi-level position, have…

Materials Science · Physics 2020-10-14 Santu Baidya , David Vanderbilt

Dirac semimetals, with their protected Dirac points, present an ideal platform for realizing intrinsic topological superconductivity. In this work, we investigate superconductivity in a two-dimensional, square-lattice nonsymmorphic Dirac…

Superconductivity · Physics 2025-12-03 Xiao-Jiao Wang , Yijie Mo , Zhi Wang , Zhigang Wu , Zhongbo Yan

We propose a surface-edge state theory for half quantized Hall conductance of surface states in topological insulators. The gap opening of a single Dirac cone for the surface states in a weak magnetic field is demonstrated. We find a new…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Rui-Lin Chu , Junren Shi , Shun-Qing Shen

While the quantum Hall effect in graphene has been regarded as a realization of the anomaly associated with the massless Dirac particle carrying half the usual topological integer, this is hidden due to the doubling of the Dirac cones. In…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 Haruki Watanabe , Yasuhiro Hatsugai , Hideo Aoki

Among the most interesting predictions in two-dimensional materials with a Dirac cone is the existence of the zeroth Landau level (LL), equally filled by electrons and holes with opposite chirality. The gapless edge states with helical spin…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 G. M. Gusev , D. A. Kozlov , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

We report experimental studies of disorder-induced transitions between quantum-Hall, metallic, and insulating states in a very dilute two-dimensional electron system in silicon at a magnetic field corresponding to Landau level filling…

Condensed Matter · Physics 2009-10-28 J. E. Furneaux , S. V. Kravchenko , Whitney Mason , G. E. Bowker , V. M. Pudalov

Bismuth and its alloys provide a paradigm to realize three dimensional materials whose low-energy effective theory is given by Dirac equation in 3+1 dimensions. We study the quantum transport properties of three dimensional Dirac materials…

Mesoscale and Nanoscale Physics · Physics 2016-04-08 M. Salehi , S. A. Jafari