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Relativistic massless Weyl and Dirac fermions exhibit the isotropic and linear dispersion relations to preserve the Poincar\'{e} symmetry, the most fundamental symmetry in high energy physics. In solids, the counterparts of the Poincar\'{e}…

Materials Science · Physics 2020-08-12 Weikang Wu , Zhi-Ming Yu , Xiaoting Zhou , Y. X. Zhao , Shengyuan A. Yang

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

We performed an angle-resolved photoemission spectroscopy study of BaFe2As2, which is the parent compound of the so-called 122 phase of the iron-pnictide high-temperature superconductors. We reveal the existence of a Dirac cone in the…

Superconductivity · Physics 2010-04-23 P. Richard , K. Nakayama , T. Sato , M. Neupane , Y. -M. Xu , J. H. Bowen , G. F. Chen , J. L. Luo , N. L. Wang , H. Ding , T. Takahashi

We show that multiple layered Dirac cones can emerge in the band structure of properly addressed multicomponent cold fermionic gases in optical lattices. The layered Dirac cones contain multiple copies of massless spin-1/2 Dirac fermions at…

Quantum Physics · Physics 2012-01-04 Z. Lan , A. Celi , W. Lu , P. Ohberg , M. Lewenstein

Two-dimensional van der Waals materials have recently been established experimentally as a highly-tunable condensed matter platform, facilitating the controlled manipulation of band structures and interactions. In several of these…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Mireia Tolosa-Simeón , Michael M. Scherer , Stefan Floerchinger

Based on first-principles calculations and effective model analysis, a Dirac nodal-net semimetal state is recognized in AlB$_2$-type TiB$_2$ and ZrB$_2$ when spin-orbit coupling (SOC) is ignored. Taking TiB$_2$ as an example, there are…

Materials Science · Physics 2018-01-31 Xing Feng , Changming Yue , Zhida Song , QuanSheng Wu , Bin Wen

We focus on the confinement of two-dimensional Dirac fermions within the waveguides created by realistic magnetic fields. Understanding of their band structure is of our main concern. We provide easily applicable criteria, mostly depending…

Mesoscale and Nanoscale Physics · Physics 2018-09-24 Marie Fialová , Vít Jakubský , Matěj Tušek

Two-dimensional (2D) semi-Dirac materials feature a unique anisotropic band structure characterized by quadratic dispersion along one spatial direction and linear dispersion along the other, effectively hybridizing ordinary and Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Xin Chen , Jian-Tong Hou , Long Liang , Jie Lu , Hong Guo , Chang-Xu Yan , Hao-Ran Chang

Space group symmetries dictate the energy degeneracy of quasiparticles (e.g., electronic, photonic) in crystalline structures. For spinless systems, there can only be double or triple degeneracies protected by these symmetries, while other…

Materials Science · Physics 2020-01-22 F. Crasto de Lima , G. J. Ferreira

Emergent Dirac fermions provide the starting point to understanding the plethora of novel condensed matter phases. The nature of the associated phases and phase transitions crucially depends on both the emergent symmetries as well as the…

Strongly Correlated Electrons · Physics 2023-07-04 Basudeb Mondal , Vijay B. Shenoy , Subhro Bhattacharjee

We consider a two-dimensional massless Dirac operator $H$ in the presence of a perturbed homogeneous magnetic field $B=B_0+b$ and a scalar electric potential $V$. For $V\in L_{\rm loc}^p(\R^2)$, $p\in(2,\infty]$, and $b\in L_{\rm…

Mathematical Physics · Physics 2011-11-22 Martin Könenberg , Edgardo Stockmeyer

We study the behavior of Dirac fermions in the presence of electron correlation in a nonsymmorphic Kondo lattice system, CeAgSb2 employing high-resolution angle-resolved photoemission spectroscopy and first-principles calculations.…

Strongly Correlated Electrons · Physics 2023-11-10 Sawani Datta , Khadiza Ali , Rahul Verma , Bahadur Singh , Saroj P. Dash , A. Thamizhavel , Kalobaran Maiti

Two-dimensional and three-dimensional massless Dirac fermions can form a sequence of quasibound states with an attractive charged impurity. These quasibound states exhibit a discrete scaling symmetry, i.e., the energy ratio between two…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Mingyuan Sun

It is shown that the Dirac fermion structures created in the middle of the Landau bands in the vortex-lattice state of a pure 2D strongly type-II superconductor at half-integer filling factors can be effectively controlled by the external…

Superconductivity · Physics 2014-05-21 T. Maniv , V. Zhuravlev

We propose and characterize a new $\mathbb{Z}_2$ class of topological semimetals with a vanishing spin--orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac Line Nodes…

Materials Science · Physics 2015-12-03 Youngkuk Kim , Benjamin J. Wieder , C. L. Kane , Andrew M. Rappe

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

Two-dimensional (2D) transition metal nitrides have a wide prospect of applications in the fields of physics, chemistry, materials, etc. However, 2D transition metal nitrides with strong magnetism, especially high N$\rm \acute{e}$el…

Materials Science · Physics 2025-03-18 Lujia Tian , Lihui Han , Yuanfang Yue , Huazhen Li , Z. Y. Xie , Xun-Wang Yan

Some important features of the graphene physics can be reproduced by loading ultracold fermionic atoms in a two-dimensional optical lattice with honeycomb symmetry and we address here its experimental feasibility. We analyze in great…

Quantum Physics · Physics 2009-10-27 Kean Loon Lee , Benoit Gremaud , Rui Han , Berthold-Georg Englert , Christian Miniatura

Using first-principles calculations, we report that ZrO is a topological material with the coexistence of three pairs of type-II triply degenerate nodal points (TNPs) and three nodal rings (NRs), when spin-orbit coupling (SOC) is ignored.…

Materials Science · Physics 2017-11-15 Ting-Ting Zhang , Zhi-Ming Yu , Wei Guo , Dongxia Shi , Guangyu Zhang , Yugui Yao

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…