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Interface states in photonic crystals (PCs) have attracted attention for the special properties, such as high transmission efficiency in bend waveguides, and their generation related to the topological phase. Previous works on interface…

Optics · Physics 2021-01-15 Jianzhi Chen , Jianlan Xie , Exian Liu , Bei Yan , Jianjun Liu

The spectrum of massless Dirac electrons on the side surface of a three-dimensional weak topological insulator is significantly affected by whether the number of unit atomic layers constituting the sample is even or odd; it has a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yositake Takane

The combined effect of finite potential barriers and dielectric mismatch between dot and matrix on excitonic properties of semiconductor quantum dots has been studied. To avoid the unphysical divergence in the self-polarization energy which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Pablo G. Bolcatto , Cesar R. Proetto

It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , P. Provero , S. Vinti

Topologically protected surface states of three-dimensional topological insulators provide a model framework for studying massless Dirac electrons in two dimensions. Usually a step on the surface of a topological insulator is treated as a…

Mesoscale and Nanoscale Physics · Physics 2019-01-14 N. I. Fedotov , S. V. Zaitsev-Zotov

We consider the one-dimensional Dirac equation with the most general relativistic contact interaction supported on two points symmetrically located with respect to the origin. In order to determine the shape of the interaction, we use a…

Quantum Physics · Physics 2026-05-05 Carlos A. Bonin , Manuel Gadella , José T. Lunardi , Luiz A. Manzoni

We investigate the effect of a non-magnetic donor impurity located at the surface of the SnTe topological crystalline insulator. In particular, the changes on the surface states due to a Sb impurity atom are analyzed by means of ab initio…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Olga Arroyo-Gascón , Yuriko Baba , Jorge I. Cerdá , Oscar de Abril , Ruth Martínez , Francisco Domínguez-Adame , Leonor Chico

Topological interface states are currently attracting rapidly growing attention in classical wave systems. However, little work has been done on topological interface states in one-dimensional (1D) elastic wave systems, especially in the…

Applied Physics · Physics 2024-09-20 Pan Li , Wenping Hu , Pai Peng , Xuefeng Zhu , Degang Zhao

A characteristic feature of topological systems is the presence of robust gapless edge states. In this work the effect of time-dependent perturbations on the edge states is considered. Specifically we consider perturbations that can be…

Superconductivity · Physics 2017-01-16 P. D. Sacramento

In present work, we discuss some topological features of charged particles interacting a uniform magnetic field in a finite volume. The edge state solutions are presented, as a signature of non-trivial topological systems, the energy…

High Energy Physics - Lattice · Physics 2022-06-22 Peng Guo , Vladimir Gasparian

In this work we theoretically study the interface acoustic states of resonators on a thin plate with topologically protected and conventional designs. Topologically protected interface state is first analyzed by employing the conception of…

Materials Science · Physics 2018-09-12 Yabin Jin , Daniel Torrent , Bahram Djafari-Rouhani

The roughness properties of two-dimensional fracture surfaces as created by the slow failure of random fuse networks are considered and compared to yield surfaces of perfect plasticity with similar disorder. By studying systems up to a…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppala , V. I. Raisanen , M. J. Alava

Topological photonic systems support edge states that are robust against disorder and perturbation. Depending on the symmetry and dimensionality of the bulk systems, different edge states emulating soliton, quantum integer and quantum spin…

Optics · Physics 2025-12-17 Aidan H. Y. Chong , Y. Q. Liu , C. Liu , Daniel H. C. Ong

Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with…

Optics · Physics 2019-12-12 Daria Smirnova , Lev Smirnov , Daniel Leykam , Yuri Kivshar

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We show that a short-range perturbation can be…

Mathematical Physics · Physics 2026-05-20 Guillaume Bal , Xixian Wang , Zhongjian Wang

We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

We compute the spin-active scattering matrix and the local spectrum at the interface between a metal and a three-dimensional topological band insulator. We show that there exists a critical incident angle at which complete (100%) spin flip…

Mesoscale and Nanoscale Physics · Physics 2011-01-18 Erhai Zhao , Chun Zhang , Mahmoud Lababidi

The interaction of spin-polarized one-dimensional (1D) topological edge modes localized along single-atomic steps of the topological crystalline insulator $Pb_{0.7}Sn_{0.3}Se(001)$ has been studied systematically by scanning tunneling…

Strongly Correlated Electrons · Physics 2021-06-30 Johannes Jung , Artem Odobesko , Robin Boshuis , Andrzej Szczerbakow , Tomasz Story , Matthias Bode1

It is well established that topological insulators sustain Dirac fermion surface states as a consequence of band inversion in the bulk. These states have a helical spin polarization and a linear dispersion with large Fermi velocity. In this…