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The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a centre of attraction, since a microscopic theory to realize such an interaction in solid-state materials was discovered. A challenge…

Strongly Correlated Electrons · Physics 2022-05-20 Jiefu Cen , Hae-Young Kee

We experimentally study the propagation of microwaves in an artificial honeycomb lattice made of dielectric resonators. This evanescent propagation is well described by a tight-binding model, very much like the propagation of electrons in…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne

We consider the fate of the Dirac points in the spectrum of a honeycomb optical lattice in the presence of a harmonic confining potential. By numerically solving the tight binding model we calculate the density of states, and find that the…

Quantum Gases · Physics 2010-06-01 J. Kusk Block , N. Nygaard

We study the ground state properties of the doped Hubbard model with strong interactions on honeycomb lattice by the Density Matrix Renormalization Group (DMRG) method. At half-filling, due to the absence of minus sign problem, it is now…

Strongly Correlated Electrons · Physics 2021-04-30 Xu Yang , Hao Zheng , Mingpu Qin

In mesoscopic two-gap superconductors with sizes of the order of the coherence length noncomposite vortices are found to be thermodynamically stable in a large domain of the $T - H$ phase diagram. In these phases the vortex cores of one…

Superconductivity · Physics 2009-11-13 L. F. Chibotaru , V. H. Dao , A. Ceulemans

In this paper based on the Haldane model, we study the topological insulator with superlattice of pi-fluxes. We find that there exist the mid-gap states induced by the flux-superlattice. In particular, the mid-gap states have nontrivial…

Strongly Correlated Electrons · Physics 2015-06-18 Ya-Jie Wu , Jing He , Su-Peng Kou

The Kitaev honeycomb model has attracted significant attention due to its exactly solvable spin-liquid ground state with fractionalized Majorana excitations and its possible materialization in magnetic Mott insulators with strong spin-orbit…

Strongly Correlated Electrons · Physics 2021-02-24 Wen-Han Kao , Johannes Knolle , Gábor B. Halász , Roderich Moessner , Natalia B. Perkins

High-Tc superconducting materials (HTSC) have anomalous properties such as the pseudo-gap or spin-gap etc., in Hall coefficient, 1/T1T and the density of states etc. First including effects of strong on-site repulsion between d-electrons at…

Superconductivity · Physics 2009-11-07 Akito Kobayashi , Atsushi Tsuruta , Tamifusa Matsuura , Yoshihiro Kuroda

We study the ground state of the doped Hubbard model on the honeycomb lattice in the small doping and strongly interacting region. The nature of the ground state by doping holes into the anti-ferromagnetic Mott insulating states on the…

Strongly Correlated Electrons · Physics 2022-06-28 Mingpu Qin

Heterostructures of stacked two-dimensional lattices have shown great promise for engineering novel material properties. As an archetypal example of such a system, the hexagon-shared honeycomb-kagome lattice has been experimentally…

Materials Science · Physics 2025-02-21 Chan Bin Bark , Hanbyul Kim , Seik Pak , Hong-Guk Min , Sungkyun Ahn , Youngkuk Kim , Moon Jip Park

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

The particles in the honeycomb lattice with on-site $s$-wave pairing exhibit many interesting behaviors, which can be described in the framework of the Hubbard model. Among others, at the half-filling, some critical value $|U_c|$ of pairing…

Superconductivity · Physics 2024-01-24 Agnieszka Cichy , Konrad J. Kapcia , Andrzej Ptok

We study the repulsive Hubbard model on an anisotropic honeycomb lattice within a mean-field and a slave-rotor treatment. In addition to the known semi-metallic and band-insulating phases, obtained for very weak interactions, and the…

Quantum Gases · Physics 2011-08-09 Guangquan Wang , Mark O. Goerbig , Christian Miniatura , Benoit Gremaud

We describe the conductance of a normal-superconducting junction in systems with Landau levels that preserve time reversal symmetry. Those Landau levels have been observed in strained honeycomb lattices. The current is carried along the…

Mesoscale and Nanoscale Physics · Physics 2015-07-14 K. G. S. H. Gunawardana , Bruno Uchoa

With the advancement in synthesizing and analyzing Kitaev materials, the Kitaev-Heisenberg model on the honeycomb lattice has attracted a lot of attention in the last few years. Several variations, which include additional anisotropic…

Strongly Correlated Electrons · Physics 2018-08-15 Darshan G. Joshi

The nonequilibrium dynamics of a cycling three-state Potts model is studied on a square lattice using Monte Carlo simulations and continuum theory. This model is relevant to chemical reactions on a catalytic surface and to molecular…

Statistical Mechanics · Physics 2024-10-08 Hiroshi Noguchi , Jean-Baptiste Fournier

We show that interface bound states are formed at isolated graphene-superconductor junctions. These states arise due to the interplay of virtual Andreev and normal reflections taking place at these interfaces. Simple analytical expressions…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 P. Burset , W. Herrera , A. Levy Yeyati

We study theoretically the dispersion of plasmonic honeycomb lattices and find Dirac spectra for both dipole and quadrupole modes. Zigzag edge states derived from Dirac points are found in ribbons of these honeycomb plasmonic lattices. The…

Materials Science · Physics 2009-03-28 Dezhuan Han , Yun Lai , Jian Zi , Zhao-Qing Zhang , C. T. Chan

We investigate the behavior of vortices of multi-component superconductivity, realized in $\rm{MgB_2}$ and Fe-based superconductors, within the framework of Ginzburg-Landau (GL) theory in terms of numerical calculations of the…

Superconductivity · Physics 2011-12-05 Shi-Zeng Lin , Xiao Hu

A possible realization of Hall conductivity, quantized at odd integer factors of $e^2/h$ for graphene's honeycomb lattice is proposed. I argue that, in the presence of \emph{uniform} real and pseudo-magnetic fields, the valley degeneracy…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 Bitan Roy