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In this work, we investigate some aspects of an acoustic analogue of the two-dimensional Su-Schrieffer-Heeger model. The system is composed of alternating cross-section tubes connected in a square network, which in the limit of narrow tubes…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Antonin Coutant , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

We study a mechanism for superconductivity in quasi-one-dimensional materials with Ising anisotropy. In an isolated chain Ising anisotropy opens a spin gap; if inter-chain coupling is sufficiently weak, single particle hopping is suppressed…

Strongly Correlated Electrons · Physics 2009-11-07 A. V. Rozhkov , A. J. Millis

We design three-dimensional (3D) metallic nanowire media with different structures and numerically demonstrate that they can be homogeneous effective indefinite anisotropic media by showing that their dispersion relations are hyperbolic.…

Optics · Physics 2015-05-13 Anan Fang , Thomas Koschny , Costas M. Soukoulis

The Su-Schrieffer-Heeger (SSH) model in a two-dimensional rectangular lattice features gapless or gapped Dirac cones with topological edge states along specific peripheries. While such a simple model has been recently realized in…

Materials Science · Physics 2022-11-22 Daiyu Geng , Hui Zhou , Shaosheng Yue , Zhenyu Sun , Peng Cheng , Lan Chen , Sheng Meng , Kehui Wu , Baojie Feng

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

We determine the one-particle spectral function and the corresponding derived quantities for the conducting chain lattice with the finite inter-chain hopping $t_\perp$ and the three-dimensional long-range Coulomb electron-electron…

Strongly Correlated Electrons · Physics 2009-11-13 Z Bonacic Losic , A Bjelis , P Zupanovic

Two chains of Luttinger liquids coupled by both interchain hopping and interchain interaction are investigated. A degeneracy of two kinds of dominant states with in phase and out of phase ordering in the absence of the hopping is removed…

Condensed Matter · Physics 2009-10-28 Hideo Yoshioka , Yoshikazu Suzumura

We present an exact analytical investigation of the topological properties and edge states of the Haldane model defined on a honeycomb lattice with zigzag edges. By exploiting translational symmetry along the ribbon direction, we perform a…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Ghassan Al-Mahmood , Mohsen Amini , Ebrahim Ghanbari-Adivi , Morteza Soltani

Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

Optics · Physics 2026-04-02 Klaas De Kinder , Christophe Caloz

The (one-dimensional) Su-Schrieffer-Heeger Hamiltonian, augmented by spin-orbit coupling and longer-range hopping, is studied at half filling for an even number of sites. The ground-state phase diagram depends sensitively on the symmetry of…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 N. Ahmadi , J. Abouie , D. Baeriswyl

We introduce a system of two parallel-coupled discrete nonlinear Schroedinger (DNLS) inhomogeneous chains. Each one favors the unidirectional transmission of incident packets, in the opposite directions with respect to each other. Two…

Pattern Formation and Solitons · Physics 2013-04-16 Stefano Lepri , Boris A. Malomed

The transport properties at finite temperature of crystalline organic semiconductors are investigated, within the Su-Schrieffer-Heeger model, by combining exact diagonalization technique, Monte Carlo approaches, and maximum entropy method.…

Materials Science · Physics 2015-02-26 G. De Filippis , V. Cataudella , A. S. Mishchenko , N. Nagaosa , A. Fierro , A. de Candia

One-dimensional wires with Rashba spin-orbit coupling, magnetic field, and strong electron-electron interactions are described by a spiral Luttinger liquid model. We develop a theory to investigate the tunneling density of states into a…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Dong E. Liu , Alex Levchenko

We have exploited a variety of techniques to study the universality and stability of the scaling properties of Harper's equation, the equation for a particle moving on a tight-binding square lattice in the presence of a gauge field, when…

Condensed Matter · Physics 2009-10-22 J. H. Han , D. J. Thouless , H. Hiramoto , M. Kohmoto

If the Electroweak Symmetry Breaking Sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity…

High Energy Physics - Phenomenology · Physics 2015-05-06 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

We investigate transport through a finite interacting wire connected to noninteracting leads. The conductance of the pure wire is not renormalized by the interactions for any spatial variation of the interaction parameters $u,K$, and not…

Condensed Matter · Physics 2007-05-23 I. Safi , H. J. Schulz

Quasi-one-dimensional hole gas is achievable in a semiconductor Ge nanowire. The lowest two subband dispersions of the hole gas are just two shifted parabolic curves with an anticrossing at $k_{z}=0$. This peculiar low-energy subband…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Rui Li

Space-time varying media enable unprecedented control over electromagnetic waves, yet most existing studies assume idealized, nondispersive materials and thus fail to capture the intrinsic frequency dispersion of realistic platforms. Here,…

Optics · Physics 2025-12-16 Klaas De Kinder , Christophe Caloz

Static disorder in a 3D crystal degrades the ideal ballistic dynamics until it produces a localized regime. This Metal-Insulator Transition is often preceded by coherent diffusion. By studying three paradigmatic 1D models, namely the…

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

Analysis of PDEs · Mathematics 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan