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Topological phases of matter have been widely studied for their robustness against impurities and disorder. The broad applicability of topological materials relies on the reliable transition from idealized, mathematically perfect models to…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Guliuxin Jin , D. O. Oriekhov , Lukas Johannes Splitthoff , Eliska Greplova

We investigate correlation effects in two dimensional topological insulators (TI). In the first part, we discuss finite size effects for interacting systems of different sizes in a ribbon geometry. For large systems, there are two pairs of…

Strongly Correlated Electrons · Physics 2015-06-04 Y. Tada , R. Peters , M. Oshikawa , A. Koga , N. Kawakami , S. Fujimoto

When semi-infinite phononic crystals (PCs) are in contact, localized modes may exist at their boundary. The central question is generally to predict their existence and to determine their stability. With the rapid expansion of the field of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Antonin Coutant , Bruno Lombard

In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures are perturbed from the same periodic medium with a Dirac…

Mathematical Physics · Physics 2023-04-24 Jiayu Qiu , Junshan Lin , Peng Xie , Hai Zhang

Two-dimensional (2D) massless Dirac electrons appear on a surface of three-dimensional topological insulators. The conductivity of such a 2D Dirac electron system is studied for strong topological insulators in the case of the Fermi level…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Yositake Takane

There is no assurance that interface states can be found at the boundary separating two materials. As a strong perturbation typically favors wave localization, it is natural to expect that an interface state should form more easily in the…

Optics · Physics 2014-01-28 Xueqin Huang , Meng Xiao , Zhao-Qing Zhang , C. T. Chan

We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approximation of the spectral properties of dimer-type block…

Optics · Physics 2025-11-25 Habib Ammari , Jiayu Qiu , Alexander Uhlmann

This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by topological properties of the bulk structure. For a general 1D…

Mathematical Physics · Physics 2022-12-28 Junshan Lin , Hai Zhang

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

Topological phases of matter are often characterized by interface states, which were already known to occur at the boundary of a band-inverted junction in semiconductor heterostructures. In IV-VI compounds such interface states are properly…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 A. Diaz-Fernandez , F. Dominguez-Adame

We study electronic states and topological invariants of (001)-films of topological crystalline insulator (TCI) Pb_{x}Sn_{1-x}Te. Gapless surface Dirac cones on bulk TCIs become gapped in thin films due to finite-size effect, which is…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 Hideyuki Ozawa , Ai Yamakage , Masatoshi Sato , Yukio Tanaka

In this paper, we explore the topological behavior of a two-dimensional honeycomb photonic crystal (PC) based on the presence of double Dirac-cone connected the orbitals p and d, due to the C6 point group symmetry of the hexagonal PCs.…

Applied Physics · Physics 2020-06-15 Jamileh Hajivandi , Hasan Pakarzadeh , Hamza Kurt

The static and dynamic properties of a Cosserat-type lattice interface of finite thickness are studied, so that both displacements and rotational degrees of freedom are taken into account. The model allows considering interfaces with a…

Materials Science · Physics 2010-05-02 Aleksey A. Vasiliev , Andrey E. Miroshnichenko , Massimo Ruzzene

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung

Metasurfaces leveraging nonlocal resonances enable narrowband spectral control and strong near-fields, with applications spanning augmented reality, biosensing, and nonlinear optics. However, the large spa- tial extent of these modes also…

Optics · Physics 2026-03-05 Tom Hoekstra , Sander A. Mann , Jorik van de Groep

We consider surface states in semiconductors with inverted-band structures, such as $\alpha$-Sn and HgTe. The main interest is the interplay of the effect of a strain of an arbitrary sign and that of the sample finite size. We consider, in…

Mesoscale and Nanoscale Physics · Physics 2024-09-24 Alexander Khaetskii , Vitaly Golovach , Arnold Kiefer

The interest in the topological properties of materials brings into question the problem of topological phase transitions. As a control parameter is varied, one may drive a system through phases with different topological properties. What…

Strongly Correlated Electrons · Physics 2019-03-05 Mucio A. Continentino , Sabrina Rufo , Griffith M. Rufo

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

It is well known that an interface created by two topologically distinct structures could host nontrivial edge states that are immune to defects. In this letter, we introduce a one-dimensional space-time phononic crystal and study the…

Classical Physics · Physics 2020-01-20 Mourad Oudich , Yuanchen Deng , Molei Tao , Yun Jing

Gated terahertz cyclotron resonance measurements on epitaxial Bi2Se3 thin films capped with In2Se3 enable the first spectroscopic characterization of a single topological interface state from the vicinity of the Dirac point to above the…

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