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We characterize planar electric terahertz metamaterials fabricated on thin, flexible substrates using terahertz time-domain spectroscopy. Quasi-three-dimensional metamaterials are formed by stacking multiple metamaterial layers.…

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

We establish a general `gluing theorem', which states roughly that if two nondegenerate constant mean curvature surfaces are juxtaposed, so that their tangent planes are parallel and very close to one another, but oppositely oriented, then…

Differential Geometry · Mathematics 2007-05-23 Rafe Mazzeo , Frank Pacard , Daniel Pollack

Metamaterials, artificially engineered materials consisting of subwavelength unit cell, have shown potentials in light manipulation with their extraordinary optical properties. Especially, topological metamaterials possessing topologically…

In recent years, the study of topologically non-trivial structures in one-dimensional models has been dominated by the Su--Schrieffer--Heeger model due to its simplicity in design and its ability to support edge states with robustness to…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Valerii Kachin , Juan Camilo López Carreño , Magdalena Stobińska

I consider a particle in the topologically non-trivial Su-Schrieffer-Heeger (SSH) model interacting strongly with a mobile impurity, whose quantum dynamics is described by a topologically trivial Hamiltonian. A particle in the SSH model…

Quantum Gases · Physics 2019-07-24 Manuel Valiente

A topological superconductor is a fully gapped superconductor that exhibits exotic zero-energy Andreev surface states at interfaces with a normal metal. In this paper we investigate the properties of a three-dimensional time reversal…

Superconductivity · Physics 2010-11-11 Andreas P. Schnyder , P. M. R. Brydon , Dirk Manske , Carsten Timm

In this paper we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and conical intersections of the energy bands in the absence of…

Mathematical Physics · Physics 2020-12-02 Giovanni Antinucci , Luca Fresta , Marcello Porta

Band theory provides the foundation for understanding electronic structure in crystalline materials, but its reliance on exact translational symmetry limits its applicability to systems with defects, disorder, incommensurate modulations, or…

Materials Science · Physics 2026-05-08 Christopher A. Bairnsfather , Ralph M. Kaufmann , Terry A. Loring , Alexander Cerjan

Recent experimental synthesis of two-dimensional (2D) heterostructures opens a door to new opportunities in tailoring the electronic properties for novel 2D devices. Here, we show that a wide range of lateral 2D heterostructures could have…

Computational Physics · Physics 2016-12-30 Junfeng Zhang , Weiyu Xie , Jijun Zhao , Shengbai Zhang

We report the existence of topologically charged nodal surface, a band degeneracy on a two-dimensional surface in momentum space that is topologically charged. We develop a Hamiltonian for such charged nodal surface, and show that such a…

Optics · Physics 2017-09-08 Meng Xiao , Shanhui Fan

Electronic flat bands have localized Wannier-like orbitals as zero modes. In the Lieb or the kagome models, the localized orbitals satisfy a topological condition that entails two non-contractible loop eigenstates along $x/y$-axis in real…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Rui-Heng Liu , Jiangping Hu , Chen Fang

We report the theoretical discovery of a large class of 2D tight-binding models containing nearly-flat bands with nonzero Chern numbers. In contrast with previous studies, where nonlocal hoppings are usually required, the Hamiltonians of…

Strongly Correlated Electrons · Physics 2011-06-07 Kai Sun , Zheng-Cheng Gu , Hosho Katsura , S. Das Sarma

The interplay and competition of topology and electron-electron interactions have fascinated researchers since the discovery of topological insulators. The Su-Schrieffer-Heeger-Hubbard (SSSHH) model is a prototypical model which includes…

Strongly Correlated Electrons · Physics 2025-02-13 David Mikhail , Stephan Rachel

Motivated by the absence of any direct signal of new physics so far, we present a simple supersymmetric model in which the up-type Higgs mass-squared parameter crosses zero at a scale close to the weak scale. Such a theory may be motivated…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yasunori Nomura , David Poland

We develop an accurate nanoelectronic modeling approach for realistic three-dimensional topological insulator nanostructures and investigate their low-energy surface-state spectrum. Starting from the commonly considered four-band…

We develop the canonical quantization of a midisuperspace model which contains, as a subspace, a minisuperspace constituted of a Friedman-Lema\^{\i}tre-Robertson-Walker Universe filled with homogeneous scalar and dust fields, where the sign…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Vitorio A. De Lorenci , Jerome Martin , Nelson Pinto-Neto , Ivano Damiao Soares

We report on the observation of a topologically protected edge state at the interface between two topologically distinct domains of the Su-Schrieffer-Heeger model, which we implement in arrays of evanescently coupled dielectric-loaded…

Quantum Physics · Physics 2017-07-18 Felix Bleckmann , Zlata Cherpakova , Stefan Linden , Andrea Alberti

Hyperbolic metamaterials (HMMs), an unusual class of electromagnetic metamaterials, have found important applications in various fields due to their distinctive properties. A surprising feature of HMMs is that even continuous HMMs can…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 Junpeng Hou , Zhitong Li , Xi-Wang Luo , Qing Gu , Chuanwei Zhang

Strongly correlated electrons systems may exhibit a variety of interesting phenomena, for instance, superconductivity and pseudogap, as is the case of cuprates and pnictides. In strongly correlated electron systems, it is considered…

Strongly Correlated Electrons · Physics 2024-06-21 L. F. Sampaio , E. J. Calegari , J. J. Rodríguez-Núñez , A. Bandyopadhyay , R. L. S. Farias