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The discovery of topological phases of matter, initially driven by theoretical advances in quantum condensed matter physics, has been recently extended to classical wave systems, reaching out to a wealth of novel potential applications in…

Mesoscale and Nanoscale Physics · Physics 2023-06-30 Nicolas Laforge , Vincent Laude , Franck Chollet , Abdelkrim Khelif , Muamer Kadic , Yuning Guo , Romain Fleury

The realization of robust coherent energy transfer with a long range from a donor to an acceptor has many important applications in the field of quantum optics. However, it is hard to be realized using conventional schemes. Here, we…

Optics · Physics 2020-10-27 Yujing Wang , Jun Ren , Weixuan Zhang , Lu He , Xiangdong Zhang

Topological insulators have gapless edge/surface states with novel transport properties. Among these, there are two classes of perfectly conducting channels which are free from backscattering: the edge states of two-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2012-01-11 Shuichi Murakami , Ryuji Takahashi , O. A. Tretiakov , Ar. Abanov , Jairo Sinova

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

We investigate symmetry-protected topological water waves within a strategically engineered square lattice system. Thus far, symmetry-protected topological modes in hexagonal systems have primarily been studied in electromagnetism and…

Quantized conductance from topologically protected edge states is a hallmark of two-dimensional topological phases. In contrast, edge states in one-dimensional (1D) topological systems cannot transmit current across the insulating bulk,…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Bozhen Zhou , Pan Zhang , Yucheng Wang , Chao Yang

Recent advancements in the field of topological band theory have significantly contributed to our understanding of intriguing topological phenomena observed in various classical and quantum systems, encompassing both wave and dissipative…

Optics · Physics 2023-07-04 Moladad Nikbakht , Farzam Bahmani

We show that topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in…

Mesoscale and Nanoscale Physics · Physics 2018-02-02 Ruben Verresen , Nick G. Jones , Frank Pollmann

Topological photonics offers transformative potential for robust integrated waveguide devices due to their backscattering-immune properties. However, their integration faces two fundamental challenges: mode symmetry mismatch with…

We develop a continuum theory to model low energy excitations of a generic four-band time reversal invariant electronic system with boundaries. We propose a variational energy functional for the wavefunctions which allows us derive natural…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Amal Medhi , Vijay B. Shenoy

We consider an interface between two strong time-reversal invariant topological insulators having surface states with opposite spin chirality, or equivalently, opposite mirror Chern number. We show that such an interface supports gapless…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Christophe De Beule , Rolando Saniz , Bart Partoens

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

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Anna Keselman , Erez Berg

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

Topological insulators are insulators in the bulk but feature chiral energy propagation along the boundary. This property is topological in nature and therefore robust to disorder. Originally discovered in electronic materials,…

We investigate the occurrence of topologically protected waves in classical fluids confined on curved surfaces. Using a combination of topological band theory and real space analysis, we demonstrate the existence of a system-independent…

Soft Condensed Matter · Physics 2020-11-25 Richard Green , Jay Armas , Jan de Boer , Luca Giomi

Recent studies have shown that non-equilibrium optical systems under static electric fields offer a pathway to realize chiral gain, where the non-Hermitian response of a material is controlled by the spin angular momentum of the wave. In…

Applied Physics · Physics 2024-11-13 Filipa R. Prudêncio , Mário G. Silveirinha

Topological phases have been explored in various fields in physics such as spintronics, photonics, liquid helium, correlated electron system and cold-atomic system. This leads to the recent foundation of emerging materials such as…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Ryuichi Shindou , Ryo Matsumoto , Shuichi Murakami , Jun-ichiro Ohe

The frictionless, directional propagation of particles at the boundary of topological materials is one of the most striking phenomena in transport. These chiral edge modes lie at the heart of the integer and fractional quantum Hall effects,…