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The band inversions that generate the topologically non-trivial band gaps of topological insulators and the isolated Dirac touching points of three-dimensional Dirac semimetals generally arise from the crossings of electronic states derived…

We theoretically demonstrate hybrid-order topology in a two-dimensional nonsymmorphic antiferromagnet. Utilizing a generic antiferromagnetic Dirac model with a symmetry-allowed, momentum-dependent spin-density-wave (SDW) mass, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Wei Xiong , Zi-Ming Wang , Xin-Mei Wei , Rui Wang , Dong-Hui Xu

We study the time-development processes of spin and charge transport phenomena in a topological Dirac semimetal attached to a ferromagnetic insulator with a precessing magnetization. Compared to conventional normal metals, topological Dirac…

Materials Science · Physics 2020-01-01 Takahiro Misawa , Kentaro Nomura

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

Materials Science · Physics 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

We present a comprehensive theoretical study of the static spin response in HgTe quantum wells, revealing distinctive behavior for the topologically nontrivial inverted structure. Most strikingly, the q=0 (long-wave-length) spin…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. Kernreiter , M. Governale , U. Zülicke , E. M. Hankiewicz

We have investigated the bulk and surface electronic structures and band topology of TlBiS$_2$ as a function of strain and electric field using \textit{ab-initio} calculations. In its pristine form, TlBiS$_2$ is a normal insulator, which…

Mesoscale and Nanoscale Physics · Physics 2014-07-18 Bahadur Singh , Hsin Lin , R. Prasad , A. Bansil

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

In the presence of certain symmetries, three-dimensional Dirac semimetals can harbor not only surface Fermi arcs, but also surface Dirac cones. Motivated by the experimental observation of rotation-symmetry-protected Dirac semimetal states…

Superconductivity · Physics 2022-01-17 Majid Kheirkhah , Zheng-Yang Zhuang , Joseph Maciejko , Zhongbo Yan

The smooth topology change of Berry's phase from a Dirac monopole-like configuration to a dipole configuration, when one approaches the monopole position in the parameter space, is analyzed in an exactly solvable model. A novel aspect of…

High Energy Physics - Theory · Physics 2019-07-17 Shinichi Deguchi , Kazuo Fujikawa

The motion of a relativistic particle is linked to its spin by the Dirac equation. Remarkably, electrons in two-dimensional materials can mimic such Dirac particles but must always appear in pairs of opposite spin chirality. Using…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Kenjiro K. Gomes , Wonhee Ko , Warren Mar , Yulin Chen , Zhi-Xun Shen , Hari C. Manoharan

Following a general protocol of periodically driving static first-order topological phases (supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses, here we construct a hierarchy of higher-order Floquet…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tanay Nag , Vladimir Juricic , Bitan Roy

We study a topological phase transition between a normal insulator and a quantum spin Hall insulator in two-dimensional (2D) systems with time-reversal and two-fold rotation symmetries. Contrary to the case of ordinary time-reversal…

Mesoscale and Nanoscale Physics · Physics 2017-04-13 Junyeong Ahn , Bohm-Jung Yang

We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

The three dimensional (3D) topological insulators are predicted to exhibit a 3D Dirac semimetal state in critical regime of topological to trivial phase transition. Here we demonstrate the first experimental evidence of 3D Dirac semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Devendra Kumar , Archana Lakhani

Mainstream among topological insulators, GaSb/InAs quantum wells present a broken gap alignment for the energy bands which supports the quantum spin Hall insulator phase and forms an important building block in the search of exotic states…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 T. Campos , M. A. T. Sandoval , L. Diago-Cisneros , G. M. Sipahi

Topological semimetals exhibit protected band crossings in momentum space, accompanied by corresponding surface states. Non-Hermitian Hamiltonians introduce geometry-sensitive features that dissolve this bulk-boundary correspondence…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Megan Schoenzeit , Chang Shu , Kai Zhang , Kai Sun

Condensed matter realization of a single Dirac cone of fermions in two dimensions is a long-standing issue. Here we report the discovery of a single gapless Dirac cone of half-quantized Hall conductance in a magnetically-doped topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Jin-Yu Zou , Rui Chen , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

We study the topologically non-trivial semi-metals by means of the 6-band Kane model. Existence of surface states is explicitly demonstrated by calculating the LDOS on the material surface. In the strain free condition, surface states are…

Mesoscale and Nanoscale Physics · Physics 2011-04-14 Rui-Lin Chu , Wen-Yu Shan , Jie Lu , Shun-Qing Shen

We study with first-principles methods the interplay between bulk and surface Dirac fermions in three dimensional Dirac semimetals. By combining density functional theory with the coherent potential approximation, we reveal a topological…

Mesoscale and Nanoscale Physics · Physics 2014-12-18 Awadhesh Narayan , Domenico Di Sante , Silvia Picozzi , Stefano Sanvito
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