The Experts below are selected from a list of 44100 Experts worldwide ranked by ideXlab platform
Massimo Ruzzene - One of the best experts on this subject based on the ideXlab platform.
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Edge Waves in plates with resonators an elastic analogue of the quantum valley hall effect
New Journal of Physics, 2017Co-Authors: Raj Kumar Pal, Massimo RuzzeneAbstract:We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed Edge Waves. These Edge Waves are topologically protected and are obtained by breaking inversion symmetry within the unit cell. Examples for discrete one and two-dimensional lattices elucidate the concept and illustrate parallels with the quantum valley Hall effect. The concept is implemented on an elastic plate featuring an array of resonators arranged according to a hexagonal topology. The resulting continuous structures have non-trivial bandgaps supporting Edge Waves at the interface between two media with different topological invariants. The topological properties of the considered configurations are predicted by unit cell and finite strip dispersion analyses. Numerical simulations demonstrate Edge Wave propagation for excitation at frequencies belonging to the bulk bandgaps. The considered plate configurations define a framework for the implementation of topological concepts on continuous elastic structures of potential engineering relevance.
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Edge Waves in plates with resonators an elastic analogue of the quantum valley hall effect
arXiv: Soft Condensed Matter, 2016Co-Authors: Raj Kumar Pal, Massimo RuzzeneAbstract:We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed Edge Waves. These Edge Waves are topologically protected and are obtained by breaking inversion symmetry within the unit cell. Examples for discrete one and two-dimensional lattices elucidate the concept and illustrate parallels with the quantum valley Hall effect. The concept is implemented on an elastic plate featuring an array of resonators arranged according to a hexagonal topology. The resulting continuous structures have non-trivial bandgaps supporting Edge Waves at the interface between two media having different topological invariants. The topological properties of the considered configurations are predicted by unit cell and finite strip dispersion analyses. Numerical simulations on finite structures demonstrate Edge Wave propagation for excitation at frequencies belonging to the bulk bandgaps. The considered plate configurations define a framework for the implementation of topological concepts on continuous elastic structures of potential engineering relevance.
P B Wiegmann - One of the best experts on this subject based on the ideXlab platform.
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Edge Wave and boundary layer of vortex matter
Physical Review Letters, 2019Co-Authors: Alexander Bogatskiy, P B WiegmannAbstract:We show that vortex matter, that is, a dense assembly of vortices in an incompressible two-dimensional flow, such as a fast rotating superfluid or turbulent flows with signlike eddies, exhibits (i) a boundary layer of vorticity (vorticity layer) and (ii) a nonlinear Wave localized within the vorticity layer, the Edge Wave. Both are solely an effect of the topological nature of vortices. Both are lost if vortex matter is approximated as a continuous vorticity patch. The Edge Wave is governed by the integrable Benjamin-Davis-Ono equation, exhibiting solitons with a quantized total vorticity. Quantized solitons reveal the topological nature of the vortices through their dynamics. The Edge Wave and the vorticity layer are due to the odd viscosity of vortex matter. We also identify the dynamics with the action of the Virasoro-Bott group of diffeomorphisms of the circle, where odd viscosity parametrizes the central extension. Our Edge Wave is a hydrodynamic analog of the Edge states of the fractional quantum Hall effect.
Raj Kumar Pal - One of the best experts on this subject based on the ideXlab platform.
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Edge Waves in plates with resonators an elastic analogue of the quantum valley hall effect
New Journal of Physics, 2017Co-Authors: Raj Kumar Pal, Massimo RuzzeneAbstract:We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed Edge Waves. These Edge Waves are topologically protected and are obtained by breaking inversion symmetry within the unit cell. Examples for discrete one and two-dimensional lattices elucidate the concept and illustrate parallels with the quantum valley Hall effect. The concept is implemented on an elastic plate featuring an array of resonators arranged according to a hexagonal topology. The resulting continuous structures have non-trivial bandgaps supporting Edge Waves at the interface between two media with different topological invariants. The topological properties of the considered configurations are predicted by unit cell and finite strip dispersion analyses. Numerical simulations demonstrate Edge Wave propagation for excitation at frequencies belonging to the bulk bandgaps. The considered plate configurations define a framework for the implementation of topological concepts on continuous elastic structures of potential engineering relevance.
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Edge Waves in plates with resonators an elastic analogue of the quantum valley hall effect
arXiv: Soft Condensed Matter, 2016Co-Authors: Raj Kumar Pal, Massimo RuzzeneAbstract:We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed Edge Waves. These Edge Waves are topologically protected and are obtained by breaking inversion symmetry within the unit cell. Examples for discrete one and two-dimensional lattices elucidate the concept and illustrate parallels with the quantum valley Hall effect. The concept is implemented on an elastic plate featuring an array of resonators arranged according to a hexagonal topology. The resulting continuous structures have non-trivial bandgaps supporting Edge Waves at the interface between two media having different topological invariants. The topological properties of the considered configurations are predicted by unit cell and finite strip dispersion analyses. Numerical simulations on finite structures demonstrate Edge Wave propagation for excitation at frequencies belonging to the bulk bandgaps. The considered plate configurations define a framework for the implementation of topological concepts on continuous elastic structures of potential engineering relevance.
Gennady Shvets - One of the best experts on this subject based on the ideXlab platform.
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transition radiation in photonic topological crystals quasiresonant excitation of robust Edge states by a moving charge
Physical Review Letters, 2019Co-Authors: Yang Yu, Jiahang Shao, J G Power, Manoel Conde, Scott Doran, Chunguang Jing, Eric Wisniewski, Gennady ShvetsAbstract:We demonstrate, theoretically and experimentally, that a traveling electric charge passing from one photonic crystal into another generates Edge Waves---electromagnetic modes with frequencies inside the common photonic band gap localized at the interface---via a process of transition Edge-Wave radiation (TER). A simple and intuitive expression for the TER spectral density is derived and then applied to a specific structure: two interfacing photonic topological insulators with opposite spin-Chern indices. We show that TER breaks the time-reversal symmetry and enables valley- and spin-polarized generation of topologically protected Edge Waves propagating in one or both directions along the interface. Experimental measurements at the Argonne Wakefield Accelerator Facility are consistent with the excitation and localization of the Edge Waves. The concept of TER paves the way for novel particle accelerators and detectors.
Alexander Bogatskiy - One of the best experts on this subject based on the ideXlab platform.
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Edge Wave and boundary layer of vortex matter
Physical Review Letters, 2019Co-Authors: Alexander Bogatskiy, P B WiegmannAbstract:We show that vortex matter, that is, a dense assembly of vortices in an incompressible two-dimensional flow, such as a fast rotating superfluid or turbulent flows with signlike eddies, exhibits (i) a boundary layer of vorticity (vorticity layer) and (ii) a nonlinear Wave localized within the vorticity layer, the Edge Wave. Both are solely an effect of the topological nature of vortices. Both are lost if vortex matter is approximated as a continuous vorticity patch. The Edge Wave is governed by the integrable Benjamin-Davis-Ono equation, exhibiting solitons with a quantized total vorticity. Quantized solitons reveal the topological nature of the vortices through their dynamics. The Edge Wave and the vorticity layer are due to the odd viscosity of vortex matter. We also identify the dynamics with the action of the Virasoro-Bott group of diffeomorphisms of the circle, where odd viscosity parametrizes the central extension. Our Edge Wave is a hydrodynamic analog of the Edge states of the fractional quantum Hall effect.
