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We construct a bosonic analog of a two-dimensional topological Dirac Semi-Metal (DSM). The low-energy description of the most basic 2D DSM model consists of two Dirac cones at positions $\pm\mathbf{k}_0$ in momentum space. The local…

Strongly Correlated Electrons · Physics 2016-12-14 Matthew F. Lapa , Gil Young Cho , Taylor L. Hughes

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

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

We establish an exact analytical relation between Zitterbewegung dynamics and the band geometry in two-dimensional Dirac systems. By identifying a time-independent antisymmetric observable-the \textit{areal rate of Zitterbewegung}-we show…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Sonja Predin

Discovering new topological phases of matter is a major theme in fundamental physics and materials science. Dirac semimetal provides an exceptional platform for exploring topological phase transitions under symmetry breaking. Recent…

Other Condensed Matter · Physics 2021-10-04 Huahui Qiu , Meng Xiao , Fan Zhang , Chunyin Qiu

We analyze the topological properties of the possible superconducting states emerging from a Cd$_3$As$_2$-like, $\mathcal{C}_4$-symmetric Dirac semimetal, with two four-fold degenerate Dirac points separated in the $k_z$ direction. Unlike…

Superconductivity · Physics 2022-12-21 Zhenfei Wu , Yuxuan Wang

Gated terahertz cyclotron resonance measurements on epitaxial Bi2Se3 thin films capped with In2Se3 enable the first spectroscopic characterization of a single topological interface state from the vicinity of the Dirac point to above the…

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Dirac semimetals can be classified into types I, II, and III based on the topological charge of their Dirac points. If a three-dimensional (3D) system can be sliced into a family of kz-dependent normal and topological insulators, type I…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Hong Wu , Jia-Ji Zhu , Jian Li , Xue-Min Yang , Jiang-Shan Chen , Mu Zhou

Vortex lines in superconducting Dirac semimetals realize crystal-symmetry-protected gapless vortex-line phases in which gapless excitations propagate inside a vortex line, in the presence of appropriate crystal symmetry, spin-orbit…

Superconductivity · Physics 2023-07-12 Shingo Kobayashi , Shuntaro Sumita , Motoaki Hirayama , Akira Furusaki

Within a Kubo formalism, we study dc transport and ac optical properties of 3D Dirac and Weyl semimetals. Emphasis is placed on the approach to charge neutrality and on the differences between Dirac and Weyl materials. At charge neutrality,…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 C. J. Tabert , J. P. Carbotte , E. J. Nicol

SrMnSb$_2$ is suggested to be a magnetic topological semimetal. It contains square, 2D Sb planes with non-symmorphic crystal symmetries that could protect band crossings, offering the possibility of a quasi-2D, robust Dirac semi-metal in…

Topological physics relies on the existence of Hamiltonian's eigenstate singularities carrying a topological charge, such as quantum vortices, Dirac points, Weyl points and -- in non-Hermitian systems -- exceptional points (EPs), lines or…

It is shown that the symmetry enforced Dirac points exist at some time reversal symmetric momenta in antiferroemgnetic compound GdB$_4$. These Dirac points may be controlled by the external magnetic field or by the deformation of the…

Strongly Correlated Electrons · Physics 2019-07-03 V. V. Kabanov

We demonstrate that topological constraints do not only dictate the geometric part of the superfluid stiffness, but can also govern the total superfluid stiffness. By introducing a general adiabatic approach for superfluid responses, we…

Superconductivity · Physics 2024-08-14 Jun-Ang Wang , Mohamed Assili , Panagiotis Kotetes

It has been widely accepted that planar boron structures, composed of triangular and hexagonal motifs are the most stable two dimensional (2D) phases and likely precursors for boron nanostructures. Here we predict, based on ab initio…

Materials Science · Physics 2014-02-28 Xiang-Feng Zhou , Xiao Dong , Artem R. Oganov , Qiang Zhu , Yongjun Tian , Hui-Tian Wang

We theoretically study the stability of three dimensional Dirac semimetals against short-range electron-electron interaction and quenched time-reversal symmetric disorder (but excluding mass disorder). First we focus on the clean…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 Bitan Roy , Sankar Das Sarma

We theoretically study a tunneling effect in a two-dimensional Dirac semimetal with two Dirac points protected by non-symmorphic symmetries. The tunnel barrier can be arranged by a magnetic exchange potential which opens a gap at the Dirac…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Tetsuro Habe

Superconductivity becomes more interesting when it encounters dimensional constraint or topology, because it is of importance for exploring exotic quantum phenomena or developing superconducting electronics. Here we report the coexistence…

The extraordinary electronic properties of Dirac materials, the two-dimensional partners of Weyl semimetals, arise from the linear crossings in their band structure. When the dispersion around the Dirac points is tilted, the emergence of…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 M. Milićević , G. Montambaux , T. Ozawa , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , J. Bloch , A. Amo