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Artificial one- and two-dimensional lattices have emerged as a powerful platform for the emulation of lattice Hamiltonians, the fundamental study of collective many-body effects, and phenomena arising from non-trivial topology.…

Artificial lattices of coherently coupled macroscopic states are at the heart of applications ranging from solving hard combinatorial optimisation problems to simulating complex many-body physical systems. The size and complexity of the…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Julian D. Töpfer , Ioannis Chatzopoulos , Helgi Sigurdsson , Tamsin Cookson , Yuri G. Rubo , Pavlos G. Lagoudakis

We consider the two-dimensional Fermi-Pasta-Ulam lattice with hexagonal honeycomb symmetry, which is a Hamiltonian system describing the evolution of a scalar-valued quantity subject to nearest neighbour interactions. Using multiple-scale…

Pattern Formation and Solitons · Physics 2015-06-22 Jonathan AD Wattis , Lauren M James

We realize and study the ionic Hubbard model using an interacting two-component gas of fermionic atoms loaded into an optical lattice. The bipartite lattice has honeycomb geometry with a staggered energy-offset that explicitly breaks the…

We investigate the orientational order of transverse polarization vectors of long columns of nucleosomal core particles and their coupling to positional order in high density mesophases discovered recently. Inhomogeneous polar ordering of…

Soft Condensed Matter · Physics 2015-06-24 V. Lorman , R. Podgornik , B. Žekš

In two dimensional disordered lattices, presence of interaction makes particles less localized than the non-interacting ones within the range of disorder strength $W \le 4$ and interaction strength $V \le 4$. If the interaction strength is…

Disordered Systems and Neural Networks · Physics 2018-08-21 Tirthaprasad Chattaraj

We examine a one-dimensional $\mathcal{PT}$-symmetric binary lattice in the presence of diagonal disorder. We focus on the wave transport phenomena of localized and extended input beams for this disordered system. In the pure…

Optics · Physics 2014-09-12 C. Mejía-Cortés , M. I. Molina

In the present paper, we investigate the polarization properties of the cholesteric liquid crystals (CLCs) with an isotropic/anisotropic defect inside them. Possibilities of amplification of the polarization plane rotation and stabilization…

We investigate topological phases in two-dimensional Bi/Sb honeycomb crystals considering planar, buckled, freestanding and deposited on a substrate structures. We use the multi-orbital tight-binding model and compare results with density…

Materials Science · Physics 2018-09-26 N. Nouri , M. Bieniek , M. Brzezinska , M. Modarresi , S. Zia Borujeni , Gh. Rashedi , A. Wojs , P. Potasz

We investigate the classical phase diagram of the stuffed honeycomb Heisenberg lattice, which consists of a honeycomb lattice with a superimposed triangular lattice formed by sites at the center of each hexagon. This lattice encompasses and…

Strongly Correlated Electrons · Physics 2018-10-17 Jyotisman Sahoo , Dmitrii Kochkov , Bryan K. Clark , Rebecca Flint

Hexagonal optical lattices, emulating graphene and hexagonal boron nitride (h-BN) structures, provide a versatile platform for exploring strongly correlated quantum matter. Using continuous-space exact diagonalization and quantum Monte…

Quantum Gases · Physics 2026-05-08 Danilo Nascimento Guimaraes , Laurent Sanchez-Palencia

We have combined single crystal neutron and x-ray diffractions to investigate the magnetic and crystal structures of the honeycomb lattice $\rm Na_2IrO_3$. The system orders magnetically below $18.1(2)$ K with Ir$^{4+}$ ions forming zigzag…

Strongly Correlated Electrons · Physics 2012-05-09 Feng Ye , Songxue Chi , Huibo Cao , Bryan C. Chakoumakos , Jaime A. Fernandez-Baca , Radu Custelcean , Tongfei Qi , O. B. Korneta , G. Cao

In a unified approach, we study the transport properties of periodic-on-average bi-layered photonic crystals, metamaterials and electron superlattices. Our consideration is based on the analytical expression for the localization length…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , N. M. Makarov

Microcavity polaritons, which at low temperatures can condense to a macroscopic coherent state, possess a polarization degree of freedom. This article discusses the phase diagram of such a system, showing the boundaries between differently…

Mesoscale and Nanoscale Physics · Physics 2008-11-17 Jonathan Keeling

A new silicene-like family of reconstructed surfaces on Si111 are discussed which appears to be a polymorph to the well know family of surface reconstructions best epitomized by the 7x7 surface. Several experimental features are discussed…

Materials Science · Physics 2020-02-27 J. E. Demuth

The phase diagram of the fully frustrated XY model on a honeycomb lattice is shown to incorporate three different ordered phases. In the most unusual of them, a long-range order is related not to the dominance of a particular periodic…

Statistical Mechanics · Physics 2012-06-05 S. E. Korshunov

Polar code lattices are formed from binary polar codes using Construction D. In this paper, we propose a design technique for finite-dimension polar code lattices. The dimension $n$ and target probability of decoding error are parameters…

Information Theory · Computer Science 2021-02-09 Obed Rhesa Ludwiniananda , Ning Liu , Khoirul Anwar , Brian M. Kurkoski

We apply gain/loss to honeycomb photonic lattices and show that the dispersion relation is identical to tachyons - particles with imaginary mass that travel faster than the speed of light. This is accompanied by PT-symmetry breaking in this…

We study polarization squeezing of a light beam initially in the coherent state using the nonlinear interaction hamiltonian $ H=k\big(\hat a_{x}^{\dagger2}+{\hat a_{x}}^2\big)$. For the degree of polarization squeezing, we use a definition…

Quantum Physics · Physics 2016-11-03 Namrata Shukla , Ranjana Prakash

It was known that by a duality transformation, interaction bosons at filling factor $ f=p/q $ hopping on a lattice can be mapped to interacting vortices hopping on the dual lattice subject to a fluctuating{\em dual} " magnetic field" whose…

Strongly Correlated Electrons · Physics 2009-11-11 Longhua Jiang , Jinwu Ye