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We have calculated the photonic band structures of metallic inverse opals and of periodic linear chains of spherical pores in a metallic host, below a plasma frequency $\omega_{\text{p}}$. In both cases, we use a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Kwangmoo Kim , D. Stroud

Motivated by the experiment [St-Jean {\it et al}., Nature Photon. {\bf 11}, 651 (2017)] on topological phases with collective photon modes in a zigzag chain of polariton micropillars, we study spinless $p$-orbital fermions with local…

Quantum Gases · Physics 2020-12-16 Gaoyong Sun , Wen-Long You , Tao Zhou

We employ a port-Hamiltonian approach to model nonlinear rigid multibody systems subject to both position and velocity constraints. Our formulation accommodates Cartesian and redundant coordinates, respectively, and captures kinematic as…

Dynamical Systems · Mathematics 2025-04-25 Thomas Berger , René Hochdahl , Timo Reis , Robert Seifried

We have theoretically studied the G-center in bulk silicon material using the empirical tight-binding model for calculations of unfolded band structures with configuration interaction correction for the exciton at $\Gamma$ point of the…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Jakub Valdhans , Petr Klenovský

To realize band structures with non-trivial topological properties in an optical lattice is an exciting topic in current studies on ultra cold atoms. Here we point out that this lofty goal can be achieved by using a simple scheme of shaking…

Quantum Gases · Physics 2015-06-18 Shao-Liang Zhang , Qi Zhou

We study a 4-orbital tight-binding (TB) model for ZrSiS from the square sublattice generated by the Si atoms. After studying three other alternatives, we endow such model with a new effective spin-orbit coupling (SOC) consistent with {\em…

Materials Science · Physics 2024-01-19 Gustavo S. Orozco-Galvan , Amador Garcia-Fuente , Salvador Barraza-Lopez

In recent years, novel two-dimensional materials such as graphene, bismuthene and transition-metal dichalcogenides have attracted considerable interest due to their unique physical properties. A range of physical effects can be transferred…

We introduce an effective tight-binding model to discuss penta-graphene and present an analytical solution. This model only involves the $\pi$-orbitals of the sp$^2$-hybridized carbon atoms and reproduces the two highest valence bands. By…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 T. Stauber , J. I. Beltrán , J. Schliemann

Quasi-bound states in an open system do in general not form an orthogonal and complete basis. It is, however, expected that the non-orthogonality is weak in the case of well-confined states except close to a so-called exceptional point in…

Optics · Physics 2009-11-13 Jan Wiersig , Sang Wook Kim , Martina Hentschel

We investigate the effect of orbital overlap on optical matrix elements in empirical tight-binding models. Empirical tight-binding models assume an orthogonal basis of (atomiclike) states and a diagonal coordinate operator which neglects…

Materials Science · Physics 2009-07-01 Titus Sandu

We put forward a tight-binding model for rhombohedral topological insulators materials with the space group $D^{5}_{3d}(R\bar{3}m)$. The model describes the bulk band structure of these materials over the whole Brillouin zone. Within this…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Carlos Mera Acosta , Matheus P. Lima , Antonio J. R. da Silva , A. Fazzio , C. H. Lewenkopf

A universal set of third--nearest neighbour tight--binding (TB) parameters is presented for calculation of the quasiparticle (QP) dispersion of $N$ stacked $sp^2$ graphene layers ($N=1... \infty$) with $AB$ stacking sequence. The QP bands…

Materials Science · Physics 2009-11-13 A. Grüneis , C. Attaccalite , L. Wirtz , H. Shiozawa R. Saito , T. Pichler , A. Rubio

We propose a new class of tight-binding models where a flat band is either gapped from or crossing right through a dispersive band on two-band (i.e., two sites/unit cell) tetragonal and honeycomb lattices. By imposing a condition on the…

Materials Science · Physics 2017-10-27 Tatsuhiro Misumi , Hideo Aoki

We present a theoretical study on the robustness of multi-photon states in a frustrated lattice of coupled nonlinear optical cavities, which are described by a driven-dissipative Bose-Hubbard model. In particular, we focus here on a Lieb…

Quantum Physics · Physics 2017-07-26 Riccardo Rota , Wim Casteels , Cristiano Ciuti

We study the condensation of exciton-polaritons in a two-dimensional Lieb lattice of micropillars. We show selective polariton condensation into the flatbands formed by S and P$_{x;y}$ orbital modes of the micropillars under non-resonant…

We present a three-band tight-binding (TB) model for describing the low-energy physics in monolayers of group-VIB transition metal dichalcogenides $MX_2$ ($M$=Mo, W; $X$=S, Se, Te). As the conduction and valence band edges are predominantly…

Materials Science · Physics 2014-03-07 Gui-Bin Liu , Wen-Yu Shan , Yugui Yao , Wang Yao , Di Xiao

Square-octagon lattice underlies the description of a family of two-dimensional materials such as tetragraphene. In the present paper we show that the tight-binding model of square-octagon lattice contains both conventional and high-order…

Strongly Correlated Electrons · Physics 2021-05-13 D. O. Oriekhov , V. P. Gusynin , V. M. Loktev

Localized interface states in abrupt semiconductor heterojunctions are studied within a tight-binding model. The intention is to provide a microscopic foundation for the results of similar studies which were based upon the two-band model…

Materials Science · Physics 2009-11-07 A. V. Kolesnikov , R. Lipperheide , U. Wille

In this work we develop a compact multi-orbital tight-binding model for phosphorene that accurately describes states near the main band gap. The model parameters are adjusted using as reference the band structure obtained by a…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Carlos J. Páez , Kursti DeLello , Duy Le , Ana L. C. Pereira , Eduardo R. Mucciolo

Two-dimensional lattices of coupled micropillars etched in a planar semiconductor microcavity offer a workbench to engineer the band structure of polaritons. We report experimental studies of honeycomb lattices where the polariton…