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A kagome lattice is composed of corner-sharing triangles arranged on a honeycomb lattice such that each honeycomb bond hosts a kagome site while each kagome triangle encloses a honeycomb site. Such close relation implies that the two…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 Tianyu Liu

The energy structure of an anisotropically interacting Kitaev model on a honeycomb lattice under triaxial strain is investigated. A numerical calculation shows that quantized states appear in the low-energy region, even when the anisotropy…

Strongly Correlated Electrons · Physics 2023-12-18 Takuto Yamada , Sei-ichiro Suga

We show that strained or deformed honeycomb lattices are promising platforms to realize fractional topological quantum states in the absence of any magnetic field. The strained induced pseudo magnetic fields are oppositely oriented in the…

Strongly Correlated Electrons · Physics 2012-07-04 P. Ghaemi , J. Cayssol , D. N. Sheng , A. Vishwanath

The control over light propagation and localization in photonic crystals offers wide applications from sensing and on-chip routing to lasing and quantum light-matter interfaces. While in electronic crystals magnetic fields can be used to…

Optics · Physics 2023-06-07 René Barczyk , L. Kuipers , Ewold Verhagen

Inhomogeneous strain applied to lattice systems can induce artificial gauge fields for particles moving on this lattice. Here we demonstrate how to engineer a novel state of matter, namely an antiferromagnet with a Landau-level excitation…

Strongly Correlated Electrons · Physics 2019-11-18 Mary Madelynn Nayga , Stephan Rachel , Matthias Vojta

We consider the electronic structure near vacancies in the half-filled honeycomb lattice. It is shown that vacancies induce the formation of localized states. When particle-hole symmetry is broken, localized states become resonances close…

Materials Science · Physics 2007-05-23 Vitor M. Pereira , F. Guinea , J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

We theoretically study Landau quantization of itinerant Majorana quasiparticles induced by lattice strain in a Kitaev spin liquid with Majorana Fermi surfaces. We consider the isotropic spin-1/2 Kitaev model on the honeycomb lattice with a…

Strongly Correlated Electrons · Physics 2025-12-16 Takayuki Yokoyama , Yasuhiro Tada

The possible emergence of a spin liquid phase in the half-filled Hubbard model on the honeycomb lattice; a simple model of graphene, is studied using the variational cluster approximation. We found that the critical interaction strength of…

Strongly Correlated Electrons · Physics 2017-02-24 Atsushi Yamada

We report the realization of a synthetic magnetic field for photons and polaritons in a honeycomb lattice of coupled semiconductor micropillars. A strong synthetic field is induced in both the s and p orbital bands by engineering a uniaxial…

Mesoscale and Nanoscale Physics · Physics 2021-01-06 O. Jamadi , E. Rozas , G. Salerno , M. Milićević , T. Ozawa , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , I. Carusotto , J. Bloch , A. Amo

The accidental degeneracy of various ground states in a fully frustrated XY model with a honeycomb lattice is shown to survive even when the free energy of the harmonic fluctuations is taken into account. The reason for that consists in the…

Statistical Mechanics · Physics 2009-11-10 S. E. Korshunov , B. Doucot

A number of topological nodes including Dirac, quadratic and triple band touching points as well as a pair of degenerate Dirac line nodes are found to emerge in the triplet plaquette excitations of the frustrated spin-1/2 $J_1$-$J_2$…

Strongly Correlated Electrons · Physics 2020-08-04 Moumita Deb , Asim Kumar Ghosh

Magnetic effects at optical frequencies are notoriously weak. This is evidenced by the fact that the magnetic permeability of nearly all materials is unity in the optical frequency range, and that magneto-optical devices (such as Faraday…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Mikael C. Rechtsman , Julia M. Zeuner , Andreas Tünnermann , Stefan Nolte , Mordechai Segev , Alexander Szameit

The experimental study of edge states in atomically-thin layered materials remains a challenge due to the difficult control of the geometry of the sample terminations, the stability of dangling bonds and the need to measure local…

Mesoscale and Nanoscale Physics · Physics 2016-08-08 M. Milicevic , T. Ozawa , P. Andreakou , I. Carusotto , T. Jacqmin , E. Galopin , A. Lemaître , L. Le Gratiet , I. Sagnes , J. Bloch , A. Amo

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

Strongly Correlated Electrons · Physics 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

Atom arrays with sub-wavelength lattice constant can exhibit fascinating optical properties. For example, the combination of $V$-type level structure and magnetic fields can yield topological band structures, making the neutral atomic…

Strongly Correlated Electrons · Physics 2025-09-29 Błażej Jaworowski , Darrick E. Chang

Fractional magnetisation plateaus, in which the magnetisation is pinned at a fraction of its saturated value within a range of external magnetic field, are spectacular macroscopic manifestations of the collective quantum behaviours. One…

We report polariton lasing in localised gap states in a honeycomb lattice of coupled micropillars. Localisation of the modes is induced by the optical potential created by the excitation beam, requiring no additional engineering of the…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 M. Milićević , O. Bleu , D. D. Solnyshkov , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , J. Bloch , G. Malpuech , A. Amo

We discover a new type of multiple-$q$ state, "ripple state", in a frustrated honeycomb-lattice Heisenberg antiferromagnet under magnetic fields. The ground state has an infinite ring-like degeneracy in the wavevector space, exhibiting a…

Strongly Correlated Electrons · Physics 2019-08-02 Tokuro Shimokawa , Hikaru Kawamura

Based on the discovery of the nontrivial topology of one-dimensional superlattices, we show that midgap states will emerge in such systems induced by a single on-site impurity. Besides the trivial bound state located at the impurity site,…

Quantum Gases · Physics 2014-06-11 Li-Jun Lang , Shu Chen

Slowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graphene, and later in photonic crystals and other physical…

Mathematical Physics · Physics 2026-03-31 Xuenan Li , Michael I. Weinstein
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