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Two-dimensional (2D) materials may exhibit intriguing band structure features (e.g., Dirac points), that lay far away from the Fermi level. They are, thus, not usable in applications. The semiconducting 2D material PC6 has two Dirac cones…

Materials Science · Physics 2021-10-01 Maximilian A. Springer , Thomas Brumme , Agnieszka Kuc , Thomas Heine

We study the electronic structure and the phase diagram of non-interacting fermions confined to hexagonal optical lattices. In the first part, we compare the properties of Dirac points arising in the eigenspectrum of either honeycomb or…

Mesoscale and Nanoscale Physics · Physics 2008-11-03 B. Wunsch , F. Guinea , F. Sols

We have realized different honeycomb lattices for microwave photons in the 4 to 8 GHz band using superconducting spiral resonators. Each lattice comprises a few hundred sites. Two designs have been studied, one leading to two bands touching…

Applied Physics · Physics 2022-11-18 Alexis Morvan , Mathieu Féchant , Gianluca Aiello , Julien Gabelli , Jérôme Estève

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…

Superconductivity · Physics 2015-11-04 A. M. Black-Schaffer , K. Le Hur

We examine the low energy effective theory of phase oscillations in a two-dimensional granular superconducting sheet where the grains are arranged in honeycomb lattice structure. Using the example of graphene we present the evidence for the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Saikat Banerjee , J. Fransson , A. M. Black-Schaffer , H. Ågren , A. V. Balatsky

In a recent article [10], the authors proved that the non-relativistic Schr\"odinger operator with a generic honeycomb lattice potential has conical (Dirac) points in its dispersion surfaces. These conical points occur for quasi-momenta,…

Mathematical Physics · Physics 2015-06-12 Charles L. Fefferman , Michael I. Weinstein

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…

We present a thorough tight-binding analysis of the band structure of a wide variety of lattices belonging to the class of honeycomb and Kagome systems including several mixed forms combining both lattices. The band structure of these…

Strongly Correlated Electrons · Physics 2017-11-22 Cyrille Barreteau , Francois Ducastelle , Talal Mallah

The existence of edge states is one of the most vital properties of topological insulators. Although tremendous success has been accomplished in describing and explaining edge states associated with PT symmetry breaking, little work has…

Mathematical Physics · Physics 2025-03-11 Ying Cao , Yi Zhu

Using first-principles plane wave calculations, we investigate two dimensional honeycomb structure of Group IV elements and their binary compounds, as well as the compounds of Group III-V elements. Based on structure optimization and phonon…

Materials Science · Physics 2010-05-20 Hasan Sahin , S. Cahangirov , M. Topsakal , E. Bekaroglu , E. Aktrk , R. T. Senger , S. Ciraci

The honeycomb supersolid state is predicted to form in a dipolar Bose-Einstein condensate with a planar confining potential. Our results for its excitation spectrum reveal the gapless bands and the emergence of Dirac points at the Brillouin…

Quantum Gases · Physics 2025-01-06 P. B. Blakie

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…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 Motohiko Ezawa

Strain offers a straightforward and effective method for generating pseudo-magnetic fields in optical and acoustic materials, thereby enabling precise manipulation of wave propagation. In this article, we investigate and justify wave packet…

Analysis of PDEs · Mathematics 2025-11-20 Chengyu Zhang , Borui Miao , Yi Zhu

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…

Materials Science · Physics 2018-05-21 Yusuke Sugita , Takashi Miyake , Yukitoshi Motome

We study a class of Dirac semimetals that feature an eightfold-degenerate double Dirac point. We show that 7 of the 230 space groups can host such Dirac points and argue that they all generically display linear dispersion. We introduce an…

Materials Science · Physics 2016-05-11 Benjamin J. Wieder , Youngkuk Kim , A. M. Rappe , C. L. Kane

Graphene, a honeycomb lattice of carbon atoms ruled by tight-binding interaction, exhibits extraordinary electronic properties due to the presence of Dirac cones within its band structure. These intriguing singularities have naturally…

Classical Physics · Physics 2018-09-28 S. Yves , F. Lemoult , M. Fink , G. Lerosey

Artificial honeycomb lattices with Dirac cone dispersion provide a macroscopic platform to study the massless Dirac quasiparticles and their novel geometric phases. In this paper, a quadruple-degenerate state is achieved at the center of…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Ze-Guo Chen , Xu Ni , Ying Wu , Cheng He , Xiao-Chen Sun , Li-Yang Zheng , Ming-Hui Lu , Yan-Feng Chen

The electronic band topology of monolayer $\beta$-Sb (antimonene) is studied from the flat honeycomb to the equilibrium buckled structure using first-principles calculations and analyzed using a tight-binding model and low energy…

Materials Science · Physics 2020-07-01 Santosh Kumar Radha , Walter R. L. Lambrecht

A new silicene-like family of reconstructed surfaces on Si111 are discussed which appears to be a polymorph to the well know family of surface reconstructions best epitomized by the 7x7 surface. Several experimental features are discussed…

Materials Science · Physics 2020-02-27 J. E. Demuth

We present a study of mechanical, electronic and magnetic properties of two dimensional (2D), monolayer of silicon carbide (SiC) in honeycomb structure and its quasi 1D armchair nanoribbons using first-principles plane wave method. In order…

Materials Science · Physics 2010-03-08 E. Bekaroglu , M. Topsakal , S. Cahangirov , S. Ciraci