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Honeycomb structures lead to conically degenerate points on the dispersion surfaces. These spectral points, termed as Dirac points, are responsible for various topological phenomena. In this paper, we investigate the generalized…

偏微分方程分析 · 数学 2024-02-23 Borui Miao , Yi Zhu

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…

介观与纳米尺度物理 · 物理学 2015-02-19 E. Kalesaki , C. Delerue , C. Morais Smith , W. Beugeling , G. Allan , D. Vanmaekelbergh

We prove that the two-dimensional Schroedinger operator with a potential having the symmetry of a honeycomb structure has dispersion surfaces with conical singularities (Dirac points) at the vertices of its Brillouin zone. No assumptions…

数学物理 · 物理学 2012-06-19 Charles L. Fefferman , Michael I. Weinstein

We demonstrate unexpected occurrence of linear bands resembling Dirac cone at the zone-center of Au$_2$Sn surface alloy with $\left( \begin{smallmatrix} 2&1\\ 1&3 \end{smallmatrix} \right)$ surface structure formed by deposition of about…

The band structure of iron-based superconductors gives rise to yet another scenario for the appearance of Dirac fermions. A viewpoint on "Observation of Dirac cone electronic dispersion in BaFe2As2" (Richard et.al., PRL 104, 137001 (2010)).

超导电性 · 物理学 2011-03-16 M. Zahid Hasan , B. Andrei Bernevig

We demonstrate how a Dirac-like magnon spectrum is generated for localized magnetic moments forming a two-dimensional honeycomb lattice. The Dirac crossing point is proven to be robust against magnon-magnon interactions, as these only shift…

材料科学 · 物理学 2016-08-16 J. Fransson , A. M. Black-Schaffer , A. V. Balatsky

The honeycomb lattice possesses a novel energy band structure, which is characterized by two distinct Dirac points in the Brillouin zone, dominating most of the physical properties of the honeycomb structure materials. However, up till now,…

材料科学 · 物理学 2016-06-02 Jing-Min Hou , Wei Chen

We find a mixed chirality $d$-wave superconducting state in the coexistence region between antiferromagnetism and interaction-driven superconductivity in lightly doped honeycomb materials. This state has a topological chiral $d+id$-wave…

超导电性 · 物理学 2015-11-04 A. M. Black-Schaffer , K. Le Hur

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice. We investigate the topological properties of a silicene superstructure generated by an external periodic potential. The superstructure is a quantum…

介观与纳米尺度物理 · 物理学 2013-04-12 Motohiko Ezawa

This work is concerned with the Dirac points for the honeycomb lattice with impenetrable obstacles arranged periodically in a homogeneous medium. We consider both the Dirichlet and Neumann eigenvalue problems and prove the existence of…

偏微分方程分析 · 数学 2022-06-27 Wei Li , Junshan Lin , Hai Zhang

We study theoretically "graphene-like" plasmonic metamaterials constituted by two-dimensional arrays of metallic nanoparticles, including perfect honeycomb structures with and without inversion symmetry, as well as generic bipartite…

介观与纳米尺度物理 · 物理学 2015-02-16 Thomas Jebb Sturges , Claire Woollacott , Guillaume Weick , Eros Mariani

We consider different generalizations of the honeycomb lattice to three dimensional structures. We address the family of the hyper-honeycomb lattice, which is made up of alternating layers of 2D honeycomb nano-ribbons, with each layer…

介观与纳米尺度物理 · 物理学 2016-08-09 Kieran Mullen , Bruno Uchoa , Bin Wang , Daniel Glatzhofer

The over-tilting of Dirac cones has led to various fascinating quantum phenomena. Here we find that two anomalous acoustic plasmons (AAPs) are dictated by the distinct geometry of two-dimensional (2D) type-II Dirac cones, far beyond the…

介观与纳米尺度物理 · 物理学 2026-04-08 Chang-Xu Yan , Furu Zhang , Chao-Yang Tan , Hao-Ran Chang , Jianhui Zhou , Yugui Yao

Honeycomb structures of group IV elements can host massless Dirac fermions with non-trivial Berry phases. Their potential for electronic applications has attracted great interest and spurred a broad search for new Dirac materials especially…

The discovery of monolayer graphene has initiated two fertile fields in modern condensed matter physics, Dirac semimetals and atomically-thin layered materials. When these trends meet again in transition metal compounds, which possess spin…

材料科学 · 物理学 2018-05-21 Yusuke Sugita , Takashi Miyake , Yukitoshi Motome

Pseudorelativistic Dirac quasiparticles have emerged in a plethora of artificial graphene systems that mimic the underlying honeycomb symmetry of graphene. However, it is notoriously difficult to manipulate their properties without…

Superconductivity of a single two-dimensional Dirac fermion offers a natural route to topological superconductivity. While usually considered extrinsic -- arising from proximity to a conventional superconductor -- we investigate when a…

超导电性 · 物理学 2026-04-09 Omid Tavakol , Thomas Scaffidi

A pair of type-II Dirac cones in PdTe$_2$ was recently predicted by theories and confirmed in experiments, making PdTe$_2$ the first material that processes both superconductivity and type-II Dirac fermions. In this work, we study the…

材料科学 · 物理学 2017-08-04 R. C. Xiao , P. L. Gong , Q. S. Wu , W. J. Lu , M. J. Wei , J. Y. Li , H. Y. Lv , X. Luo , P. Tong , X. B. Zhu , Y. P. Sun

The long theorized two-dimensional allotrope of SiC has remained elusive amid the exploration of graphenelike honeycomb structured monolayers. It is anticipated to possess a large direct band gap (2.5 eV), ambient stability, and chemical…

Topological semimetal is a topic of general interest in material science. Recently, a new kind of topological semimetal called type-II Dirac semimetal with tilted Dirac cones is discovered in PtSe2 family. However, the further investigation…

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