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Odd numbers of Dirac points and helical states can exist at edges (surfaces) of two-dimensional (three-dimensional) topological insulators. In the bulk of a one-dimensional lattice (not an edge) with time reversal symmetry, however, a no-go…

Mesoscale and Nanoscale Physics · Physics 2013-05-24 Sheng-Nan Ji , Bang-Fen Zhu , Ren-Bao Liu

Dirac fermions play a central role in the study of topological phases, for they can generate a variety of exotic states, such as Weyl semimetals and topological insulators. The control and manipulation of Dirac fermions constitute a…

A lattice symmetry, if being nonsymmorphic, is defined by combining a point group symmetry with a fractional lattice translation that cannot be removed by changing the lattice origin. Nonsymmorphic symmetry has a substantial influence on…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Rui-Xing Zhang , Chao-Xing Liu

Unconventional chiral particles have recently been predicted to appear in certain three dimensional (3D) crystal structures containing three- or more-fold linear band degeneracy points (BDPs). These BDPs carry topological charges, but are…

Other Condensed Matter · Physics 2019-07-24 Yihao Yang , Hong-xiang Sun , Jian-ping Xia , Haoran Xue , Zhen Gao , Yong Ge , Ding Jia , Yidong Chong , Baile Zhang

Several intriguing electronic phenomena and electric properties were discovered in three-dimensional Dirac nodal line semimetals (3D-DNLSM), which are, however, easy to be perturbed under strong spin-orbit coupling (SOC). While…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Deping Guo , Pengjie Guo , Shiliang Tan , Min Feng , Limin Cao , Zhengxin Liu , Kai Liu , Zhong-Yi Lu , Wei Ji

We demonstrate from a fundamental perspective the physical and mathematical origins of band warping and band non-parabolicity in electronic and vibrational structures. Remarkably, we find a robust presence and connection with pairs of…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Lorenzo Resca , Nicholas A. Mecholsky , Ian L. Pegg

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

The discovery of intriguing properties related to the Dirac states in graphene has spurred huge interest in exploring its two-dimensional group-IV counterparts, such as silicene, germanene, and stanene. However, these materials have to be…

Mesoscale and Nanoscale Physics · Physics 2017-10-05 Ping Li , Xiao Li , Wei Zhao , Hua Chen , M. X. Chen , Zhi-XIn Guo , Ji Feng , Xin-Gao Gong , Allan H. MacDonald

Interaction-driven topological phase transitions in Dirac semimetals are investigated by means of large-scale quantum Monte Carlo (QMC) simulations. The interaction among Dirac fermions is introduced by coupling them to Ising spins that…

Strongly Correlated Electrons · Physics 2017-02-13 Xiao Yan Xu , K. S. D. Beach , Kai Sun , F. F. Assaad , Zi Yang Meng

We study theoretically two-dimensional single-crystalline sheets of semiconductors that form a honeycomb lattice with a period below 10 nm. These systems could combine the usual semiconductor properties with Dirac bands. Using atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-02-19 E. Kalesaki , C. Delerue , C. Morais Smith , W. Beugeling , G. Allan , D. Vanmaekelbergh

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

Based on first-principles calculation and effective model analysis, we propose that the cubic antiperovskite material Cu$_3$PdN can host a three-dimensional (3D) topological nodal line semimetal state when spin-orbit coupling (SOC) is…

Materials Science · Physics 2015-07-21 Rui Yu , Hongming Weng , Zhong Fang , Xi Dai , Xiao Hu

Nodal line semimetals are characterized by symmetry-protected band crossing lines and are expected to exhibit nontrivial electronic properties. Connections of the multiple nodal lines, resulting in nodal nets, chains, or links, are…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Ding-Fu Shao , Shu-Hui Zhang , Xiaoqian Dang , Evgeny Y. Tsymbal

Recently, it was shown both theoretically and experimentally that certain three-dimensional (3D) materials have Dirac points in the Brillouin zone, thus being 3D analogs of graphene. Moreover, it was suggested that under specific conditions…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 Y. Marques , D. Yudin , I. A. Shelykh , A. C. Seridonio

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 J. Gonzalez

Based on their formation mechanisms, Dirac points in three-dimensional systems can be classified as accidental or essential. The former can be further distinguished into type-I and type-II, depending on whether the Dirac cone spectrum is…

Materials Science · Physics 2017-09-12 Cong Chen , Shan-Shan Wang , Lei Liu , Zhi-Ming Yu , Xian-Lei Sheng , Ziyu Chen , Shengyuan A. Yang

Single crystal and polycrystalline samples of MoP$_4$ with a black-phosphorus-derived structure have been successfully synthesized by a high-pressure technique. The polycrystalline samples show a large positive magnetoresistance and a small…

Materials Science · Physics 2021-11-25 Alex Hiro Mayo , Jon Alexander Richards , Hidefumi Takahashi , Shintaro Ishiwata

We propose a general framework for constructing a large set of nodal-point semimetals by tuning the number of linearly ($d_L$) and (at most) quadratically ($d_Q$) dispersing directions. By virtue of such a unifying scheme, we identify a new…

Strongly Correlated Electrons · Physics 2019-11-15 Shouvik Sur , Bitan Roy

We propose magnonic analogs of topological crystalline insulators which possess Dirac surface states protected by the combined symmetry of time-reversal and half translation. Constructing models of the topological magnon systems, we…

Mesoscale and Nanoscale Physics · Physics 2021-10-26 Hiroki Kondo , Yutaka Akagi

Dirac nodal-line semimetals with the linear bands crossing along a line or loop, represent a new topological state of matter. Here, by carrying out magnetotransport measurements and performing first-principle calculations, we demonstrate…

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