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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

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…

Materials Science · Physics 2016-08-16 J. Fransson , A. M. Black-Schaffer , A. V. Balatsky

The discovery of the Dirac electron dispersion in graphene led to the question of the Dirac cone stability with respect to interactions. Coulomb interactions between electrons were shown to induce a logarithmic renormalization of the Dirac…

Quantum information storage using charge-neutral quasiparticles are expected to play a crucial role in the future of quantum computers. In this regard, magnons or collective spin-wave excitations in solid-state materials are promising…

Strongly Correlated Electrons · Physics 2017-10-20 S. A. Owerre , J. Nsofini

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

The discovery of massless Dirac electrons in graphene and topological Dirac-Weyl materials has prompted a broad search for bosonic analogues of such Dirac particles. Recent experiments have found evidence for Dirac magnons above an…

Strongly Correlated Electrons · Physics 2020-03-18 Bo Yuan , Ilia Khait , Guo-Jiun Shu , F. C. Chou , M. B. Stone , J. P. Clancy , Arun Paramekanti , Young-June Kim

We examine the presence and evolution of magnetic Dirac nodes in the Heisenberg honeycomb lattice. Using linear spin theory, we evaluate the collinear phase diagram as well as the change in the spin dynamics with various exchange…

Strongly Correlated Electrons · Physics 2018-01-31 D. Boyko , J. T. Haraldsen , A. V. Balatsky

Bosonic Dirac materials are testbeds for dissipationless spin-based electronics. In the quasi two-dimensional honeycomb lattice of CrX$_{3}$ (X=Cl, Br, I), Dirac magnons have been predicted at the crossing of acoustical and optical spin…

Materials Science · Physics 2024-05-14 John A. Schneeloch , Yu Tao , Yongqiang Cheng , Luke Daemen , Guangyong Xu , Qiang Zhang , Despina Louca

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

It has been recently shown that in the Heisenberg (anti)ferromagnet on the honeycomb lattice, the magnons (spin wave quasipacticles) realize a massless two-dimensional (2D) Dirac-like Hamiltonian. It was shown that the Dirac magnon…

Strongly Correlated Electrons · Physics 2016-07-21 S. A. Owerre

Optical lattice systems offer the possibility of creating and tuning Dirac points which are present in the tight-binding lattice dispersions. For example, such a behavior can be achieved in the staggered flux lattice or honeycomb type of…

Quantum Gases · Physics 2018-05-25 A. S. Sajna

We generalize the concept of triply-degenerate nodal points to non-collinear antiferromagnets. Here, we introduce this concept to insulating quantum antiferromagnets on the decorated honeycomb lattice, with spin-$1$ bosonic quasiparticle…

Strongly Correlated Electrons · Physics 2018-02-27 S. A. Owerre

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…

Mathematical Physics · Physics 2012-06-19 Charles L. Fefferman , Michael I. Weinstein

We consider a two-dimensional honeycomb lattice of metallic nanoparticles, each supporting a localized surface plasmon, and study the quantum properties of the collective plasmons resulting from the near field dipolar interaction between…

Mesoscale and Nanoscale Physics · Physics 2013-03-07 Guillaume Weick , Claire Woollacott , William L. Barnes , Ortwin Hess , Eros Mariani

We study the magnon bands of twisted bilayer honeycomb quantum magnets using linear spin wave theory. Although the interlayer coupling can be ferromagnetic or antiferromagnetic, we keep the intralayer one ferromagnetic to avoid possible…

Strongly Correlated Electrons · Physics 2021-08-11 Xingchuan Zhu , Huaiming Guo , Shiping Feng

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

We calculate magnon dispersions and damping in the Kitaev-Heisenberg model with an off-diagonal exchange $\Gamma$ and isotropic third-nearest-neighbor interaction $J_3$ on a honeycomb lattice. This model is relevant to a description of the…

Strongly Correlated Electrons · Physics 2020-02-21 R. L. Smit , S. Keupert , O. Tsyplyatyev , P. A. Maksimov , A. L. Chernyshev , P. Kopietz

CrBr$_3$ is an excellent realization of the two-dimensional honeycomb ferromagnet, which offers a bosonic equivalent of graphene with Dirac magnons and topological character. We perform inelastic neutron scattering (INS) measurements using…

Strongly Correlated Electrons · Physics 2022-11-01 S. E. Nikitin , B. Fåk , K. W. Krämer , T. Fennell , B. Normand , A. M. Läuchli , Ch. Rüegg

It is well known that a single Dirac cone at high-symmetry point (HSP) of a Brillouin zone, akin to the one in graphenes' band structure, can not appear as the only quasiparticle at the Fermi level in two-dimensional (2D), non-magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 Vladimir Damljanovic

Photonic pseudospin-1/2 systems, which exhibit Dirac cone dispersion at Brillouin zone corners in analogy to graphene, have been extensively studied in recent years. However, it is known that a linear band crossing of two bands cannot…

Optics · Physics 2020-10-07 Neng Wang , Ruo-Yang Zhang , C. T. Chan , Guo Ping Wang
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