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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

Graphene nanoribbons are widely regarded as promising building blocks for next-generation carbon-based devices. A critical issue to their prospective applications is whether and to what degree their electronic structure can be externally…

Materials Science · Physics 2021-11-11 Michele Pizzochero , Nikita V. Tepliakov , Arash A. Mostofi , Efthimios Kaxiras

Electrons on honeycomb or pi-flux lattices obey effective massless Dirac equation at low energies and at the neutrality point, and should suffer quantum phase transitions into various Mott insulators and superconductors at strong two-body…

Strongly Correlated Electrons · Physics 2023-11-02 Igor F. Herbut , Subrata Mandal

We investigate electronic band-structure images in reciprocal space of few layer graphene epitaxially grown on SiC(000-1). In addition to the observation of commensurate rotation angles of the graphene layers, the k-space images recorded…

Materials Science · Physics 2018-06-19 C. Mathieu , E. H. Conrad , F. Wang , J. E. Rault , V. Feyer , C. M. Schneider , O. Renault , N. Barrett

Topological magnon insulators constitute a growing field of research for their potential use as information carriers without heat dissipation. We report an experimental and theoretical study of the magnetic ground-state and excitations in…

Strongly Correlated Electrons · Physics 2022-07-19 C. Wessler , B. Roessli , K. W. Krämer , U. Stuhr , A. Wildes , H. B. Braun , M. Kenzelmann

Lateral superlattices have attracted major interest as this may allow one to modify spectra of two dimensional electron systems and, ultimately, create materials with tailored electronic properties. Previously, it proved difficult to…

We study the ground-state properties of ultracold bosonic atoms in a state-dependent graphene-like honeycomb optical lattice, where the degeneracy between the two triangular sublattices A and B can be lifted. We discuss the various…

We provide a novel setup for generalizing the two-dimensional pseudospin S=1/2 Dirac equation, arising in graphene's honeycomb lattice, to general pseudospin-S. We engineer these band structures as a nearest-neighbor hopping Hamiltonian…

Quantum Gases · Physics 2011-11-14 Balázs Dóra , Janik Kailasvuori , Roderich Moessner

Dirac materials respond to lattice deformations as if the electrons were coupled to gauge fields. We derive the elastic gauge fields in the hyperhoneycomb lattice, a three dimensional (3D) structure with trigonally connected sites. In its…

Strongly Correlated Electrons · Physics 2019-05-15 Sang Wook Kim , Bruno Uchoa

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

Strongly Correlated Electrons · Physics 2026-03-30 Jennifer Lin , Frank Krüger

Dirac electrons in a single-component molecular conductor [Pd(dddt)$_2$] under pressure have been examined using a tight-binding model which consists of HOMO (Highest Occupied Molecular Orbital) and LUMO (Lowest Unoccupied Molecular…

Materials Science · Physics 2017-04-25 Reizo Kato , Yoshikazu Suzumura

We theoretically investigate the barrier tunneling in the three-dimensional model of the hyperhoneycomb lattice, which is a nodal-line semimetal with a Dirac loop at zero energy. In the presence of a rectangular potential, the scattering…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Ji-Huan Guan , Yan-Yang Zhang , Wei-Er Lu , Yang Xia , Shu-Shen Li

Natural and artificial honeycomb lattices are of great interest because the band structure of these lattices, if properly constructed, contains a Dirac point. Such lattices occur naturally in the form of graphene and carbon nanotubes. They…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Maxwell Porter , L. E. Reichl

We discuss the magnetic phases of the Hubbard model for the honeycomb lattice both in two and three spatial dimensions. A ground state phase diagram is obtained depending on the interaction strength U and electronic density n. We find a…

Strongly Correlated Electrons · Physics 2016-08-31 N. M. R. Peres , M. A. N. Araujo , Daniel Bozi

In 2015 experiments were performed with superconducting microwave photonic crystals emulating artificial graphene B. Dietz, T. Klaus, M. Miski-Oglu, and A. Richter, Phys. Rev. B 91, 035411 (2015)]. The associated density of states comprises…

Mesoscale and Nanoscale Physics · Physics 2021-05-11 Wulayimu Maimaiti , Barbara Dietz , Alexei Andreanov

Electromagnetic driving in a honeycomb lattice can induce gaps and topological edge states with a structure of increasing complexity as the frequency of the driving lowers. While the high frequency case is the most simple to analyze we…

Mesoscale and Nanoscale Physics · Physics 2016-02-22 Pablo M. Perez-Piskunow , Luis E. F. Foa Torres , Gonzalo Usaj

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

We analyze the scenario of modulating the potential strength of bound atoms in an optical honeycomb lattice patterned by an electric field to emulate uniaxial strain. This modulation can be achieved by a combination of the strength of the…

Materials Science · Physics 2023-03-06 A. López , B. Montañes , E. Medina

An experimental group at Beijing[Yueyang Zhai, ${\it et. al.}$, Phys. Rev. A ${\bf 87}$, 063638 (2013)] introduced the method of standing-wave pulse sequence for efficiently preparing ultracold bosonic atoms into a specific excited band in…

Quantum Gases · Physics 2019-01-30 Tomotake Yamakoshi , Shinichi Watanabe

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