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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…

In this work, we investigate chiral topological superconductors on a two-dimensional honeycomb lattice with coexisting $d_{x^2-y^2}$, $d_{xy}$, and $s$-wave pairing symmetries. Using a Ginzburg-Landau free energy analysis, the pairing gap…

Superconductivity · Physics 2026-01-13 Yu-Hang Li , Jiarui Jiao , Xiao-Xiao Zhang , Congjun Wu , Wang Yang

In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from a honeycomb lattice of obstacles attaining…

Mathematical Physics · Physics 2024-05-08 Wei Li , Junshan Lin , Jiayu Qiu , Hai Zhang

In this work we present an optical lattice setup to realize a full Dirac Hamiltonian in 2+1 dimensions. We show how all possible external potentials coupled to the Dirac field can arise from perturbations of the existing couplings of the…

We use a projective symmetry group analysis to determine all symmetric spin liquids on the stuffed honeycomb lattice Heisenberg model. This lattice interpolates between honeycomb, triangular and dice lattices, always preserving hexagonal…

Strongly Correlated Electrons · Physics 2020-03-10 Jyotisman Sahoo , Rebecca Flint

Honeycomb lattice can support electronic states exhibiting Dirac energy dispersion, with graphene as the icon. We propose to derive nontrivial topology by grouping six neighboring sites of honeycomb lattice into hexagons and enhancing the…

Mesoscale and Nanoscale Physics · Physics 2016-04-19 Long-Hua Wu , Xiao Hu

It is shown that in the absence of spontaneous symmetry breaking the Dirac cones in the system of interacting electrons on honeycomb lattice are isotropic at low energies. The effect is due to the $Z_3$ subgroup of the $D_3$ symmetry group…

Mesoscale and Nanoscale Physics · Physics 2009-05-19 Igor F. Herbut

We investigate the properties of the nearest-neighbor singlet pairing and the emergence of d-wave superconductivity in the doped honeycomb lattice considering the limit of large interactions and the $t-J_1-J_2$ model. First, by applying a…

Strongly Correlated Electrons · Physics 2013-04-03 Wei Wu , Michael M. Scherer , Carsten Honerkamp , Karyn 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…

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

In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index…

Optics · Physics 2015-10-21 Yiqi Zhang , Xing Liu , Milivoj R. Belić , Zhenkun Wu , Yanpeng Zhang

We report on transport properties of the super-honeycomb lattice, the band structure of which possesses a flat band and Dirac cones, according to the tight-binding approximation. This super-honeycomb model combines the honeycomb lattice and…

Theory anticipates that the in-plane px, py orbitals in a honeycomb lattice lead to new and potentially useful quantum electronic phases. So far, p orbital bands were only realized for cold atoms in optical lattices and for light and…

Moving, merging and annihilating Dirac points are studied theoretically in the tight-binding model on honeycomb lattice with up-to third-nearest-neighbor hoppings. We obtain a rich phase diagram of the topological phase transitions in the…

Mesoscale and Nanoscale Physics · Physics 2012-10-22 Yasumasa Hasegawa , Keita Kishigi

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 study superconducting (SC) phases that are naturally proximate to a spin-orbit coupled SU(8) Dirac semi-metal on a honeycomb lattice. This system, which offers enhanced low-energy symmetries, presents an interesting platform for…

Strongly Correlated Electrons · Physics 2025-05-09 Ankush Chaubey , Basudeb Mondal , Vijay B. Shenoy , Subhro Bhattacharjee

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

We studied numerically electromagnetic response of the finite periodic structure consisting of the ${\cal{PT}}$ dipoles represented by two infinitely long, parallel cylinders with the opposite sign of the imaginary part of a refractive…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 P. Markos , V. Kuzmiak

Inspired by the recent creation of the honeycomb optical lattice and the realization of the Mott insulating state in a square lattice by shaking, we study here the shaken honeycomb optical lattice. For a periodic shaking of the lattice, a…

Quantum Gases · Physics 2013-05-30 Selma Koghee , Lih-King Lim , M. O. Goerbig , C. Morais Smith

Twisted moir\'e Dirac systems enable powerful miniband engineering but are largely fixed once the twist angle is set, whereas unidirectional (1D) electrostatic superlattices offer continuous control of Dirac anisotropy; yet robust…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hanzhou Tan , Pilkyung Moon

Dirac materials, which feature Dirac cones in the reciprocal space, have been one of the hottest topics in condensed matter physics in the past decade. To date, 2D and 3D Dirac Fermions have been extensively studied, while their 1D…