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Recently the possibility of achieving one-way backscatter immune transportation of light by mimicking the topological order present within certain solid state systems, such as topological insulators, has received much attention. Thus far…

Two-dimensional photonic crystals made of six air holes on a core-shell dielectric material has been proposed to study the newly emerged photonic quantum spin Hall insulator. Specifically, radii modification of the air holes and core-shell…

Applied Physics · Physics 2021-06-02 J. Hajivandi , H. Kurt

Topological phase transitions, characterized by the closing and reopening of band gaps and a concomitant change in topological invariants, have played a central role in topological physics. However, such transitions have so far been…

Optics · Physics 2025-12-19 Zebin Zhu , Bolun Huang , Siqi Xu , Jingming Chen , Yan Meng , Zhenxiao Zhu , Xiang Xi , Zhen Gao

Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a new paradigm of synthetic matter, and their energy levels were characterized by a band structure in a four- (or higher-)dimensional momentum space.…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 David M. Urwyler , Patrick M. Lenggenhager , Igor Boettcher , Ronny Thomale , Titus Neupert , Tomáš Bzdušek

Hyperbolic metamaterials (HMMs) are engineered materials with a hyperbolic isofrequency surface, enabling a range of novel phenomena and applications including negative refraction, enhanced sensing, and subdiffraction imaging, focusing, and…

Metamaterials are artificially structured media that can focus (lensing) or reroute (cloaking) waves, and typically this is developed for electromagnetic waves at millimetric down to nanometric scales or for acoustics or thin elastic plates…

Materials Science · Physics 2017-05-26 A. Colombi , S. Guenneau , P. Roux , C. Richard

We show that hyperbolic electromagnetic metamaterials implemented as multilayers based on two material constituents arranged according to Thue-Morse (ThM) aperiodic sequence may exhibit strong nonlocal effects, manifested as the appearance…

Optics · Physics 2015-06-12 Silvio Savoia , Giuseppe Castaldi , Vincenzo Galdi

Magnetically induced topological transitions of isofrequency surfaces of bulk waves propagating through an unbounded biaxial gyrotropic medium are studied. The medium is constructed from a two-component superlattice composed of magnetized…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Vladimir R. Tuz , Volodymyr I. Fesenko

Topological phases of matters are of fundamental interest and have promising applications. Fascinating topological properties of light have been unveiled in classical optical materials. However, the manifestation of topological physics in…

Optics · Physics 2015-08-06 Da-Wei Wang , Han Cai , Luqi Yuan , Shi-Yao Zhu , Ren-Bao Liu

A geometric transition is a continuous path of geometric structures that changes type, meaning that the model geometry, i.e. the homogeneous space on which the structures are modeled, abruptly changes. In order to rigorously study…

Geometric Topology · Mathematics 2014-12-15 Daryl Cooper , Jeffrey Danciger , Anna Wienhard

We describe novel topological phases of iso-frequency k-space surfaces in bi-anisotropic optical materials - tri- and tetra-hyperbolic materials, which are induced by introduction of chirality. This completes the classification of…

Optics · Physics 2019-09-27 Maxim Durach , Robert Williamson , Morgan Laballe , Thomas Mulkey

The topology of an object describes global properties that are insensitive to local perturbations. Classic examples include string knots and the genus (number of handles) of a surface: no manipulation of a closed string short of cutting it…

Quantum Gases · Physics 2019-01-15 Nathan Schine , Michelle Chalupnik , Tankut Can , Andrey Gromov , Jonathan Simon

Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases of matter beyond the Euclidean paradigm. Using real-space…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Anffany Chen , Yifei Guan , Patrick M. Lenggenhager , Joseph Maciejko , Igor Boettcher , Tomáš Bzdušek

Manipulating the property of iso-frequency contour (IFC) will provide a powerful control for the interaction between light and matter. Importantly, hyperbolic metamaterials (HMMs), a class of artificial anisotropic materials with hyperbolic…

Optics · Physics 2020-04-14 Zhiwei Guo , Haitao Jiang , Hong Chen

Hyperbolic metamaterials were originally introduced to overcome the diffraction limit of optical imaging. Soon thereafter it was realized that hyperbolic metamaterials demonstrate a number of novel phenomena resulting from the broadband…

Optics · Physics 2015-10-27 Igor I. Smolyaninov

Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications. Paradigmatic approaches have been proposed to…

Hyperbolic Metamaterials (HMMs) continue to be intriguing due to their applications in super resolution imaging and spontaneous emission control. One of the successful realizations of HMMs is a layered metal-dielectric film. Despite the…

Topological transitions are fundamental phenomena in electronics, photonics, and quantum technologies. However, the scalability and tunability of Topological transitions in these systems have still been constrained by their material…

Optics · Physics 2025-11-18 Bo Tian , Xi Zhang , Ruitao Wu , Yuquan Zhang , Luping Du , Xiaocong Yuan

Hyperbolic metamaterials (HMMs) offer unconventional properties in the field of optics, enabling opportunities for confinement and propagation of light at the nanoscale. In-plane orientation of the optical axis, in the direction coinciding…

Materials Science · Physics 2021-03-09 I. Murataj , M. Channab , E. Cara , C. F. Pirri , L. Boarino , A. Angelini , F. Ferrarese Lupi

A comprehensive analysis of hybrid TM-TE polarized surface electromagnetic waves supported by different few-layer anisotropic metasurfaces is presented. A generalized 4$\times$4 T-matrix formalism for arbitrary anisotropic 2D layers is…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. V. Kotov , Yu. E. Lozovik