Apr 15,2020 Geometric phase and band inversion in periodic acoustic#0183;Here the states I 1 and I 3 are taken as examples for the analysis of the topological phase inversion by calculating the valley Chern number.The Berry curvature map of the 1st and 2nd bands over the reciprocal lattice space are presented in Fig.5,with state I 1 shown in Fig.5(a,b) and state I 3 shown in Fig.5(c,d).Tunable and Active Phononic Crystals and Metamaterials Phononic crystals (PCs) and metamaterials (MMs) can exhibit abnormal properties,even far beyond those found in nature,through artificial design of the topology or ordered structure of unit cells.Topologically protected elastic waves in phononic Large contrast in acoustic impedance between common materials further promotes backscattering from disorder. The first step aims to create a phononic band structure emulating the electronic band structure of graphene with two uncoupled and degenerate spin states with Dirac dispersion. Geometric phase and band inversion in periodic

Jul 31,2019 Geometric phase and band inversion in periodic acoustic#0183;The topological characteristics of waves in elastic structures are determined by the geometric phase of waves and,more specifically,by the Berry phase, Geometric phase and band inversion in periodic acoustic systems, Nat.Phys.11,240 Seeing Topological Order and Band Inversion in Optical acoustic systems16,28 by measuring geometric phase,measuring the topological order in 1D systems,i.e.,the so-called winding number,is still open and yet to be solved.In what follows,we will show how to see the winding number and band inversion in our controllable experimental platform.EXPERIMENTAL SETUP AND ANALYTICAL MODEL.Previous123456NextDemonstration of a third-order hierarchy of topological Topological acoustic metamaterial design.A 3D acoustic metamaterial emulator of the pyrochlore lattice (28,30) is realized using metamolecules (unit cells) schematically shown in Fig.1 (A and B),whose specific dimensions are given in Materials and Methods.Each molecule consists of four acoustic resonators,with acoustic pressure modes oscillating along the axial direction,as shown in the

[8] Meng Xiao Geometric phase and band inversion in periodic acoustic#167;,Guancong Ma Geometric phase and band inversion in periodic acoustic#167;,Zhiyu Yang,Ping Sheng,Zhao-Qing Zhang,C.T.Chan,Geometric Phase and Band Inversion in Periodic Acoustic Systems,Nature Physics 11,240 (2015).(Featured News and Views on Nature Physics.)OSA Brillouin scattering in hybrid optophononic Bragg Inelastic scattering of light by acoustic phonons has potential for the tailored generation of frequency combs,laser-line narrowing,and all-optical data storage.To be efficient,these applications require strong optical fields and a large overlap between the optical and acoustic modes.Control over the shape of the acoustic spectrum is highly desirable.OSA 2-space uniform - OSA OSA PublishingMetasurfaces have shown unusual abilities to modulate the phase,amplitude and polarization of an incident lightwave with spatial resolution at the subwavelength scale.Here,we experimentally demonstrate a dielectric metasurface enabled with both geometric phase and magnetic resonance that scatters an incident light beam filling the full reflective 2-space with high-uniformity.

Bloch bands.What is most relevant though,is that instead of the two bands in the SSH model,the quasi-one-dimensional periodic system used by Xiao et al.2 has multiple bands,where the bandgaps are formed as a consequence of Bragg scattering due to impedance mismatch at the boundary of PHONONIC CRYSTALS Entering an acoustic phaseImages of Geometric phase and band inversion in periodic ac imagesGeometric Phase and Band Inversion in Periodic Acoustic The geometric phase that specifically characterizes the topological property of bulk bands in one-dimensional periodic systems is known as the Zak phase.Recently,it has been found that topological notions can also characterize the topological phase of mechanical isostatic lattices.Geometric phase and topology of elastic oscillations and The geometric phase that characterizes the property of bulk bands in one-dimensional (1D) periodic systems is also known as the Zak phase.29 29.J.Zak, Berrys phase for energy bands in solids, Phys.Rev.Lett.62,2747 (1989).

The geometric phase that characterizes the property of bulk bands in one-dimensional (1D) periodic systems is also known as the Zak phase.29 29.J.Zak, Berrys phase for energy bands in solids, Phys.Rev.Lett.62,2747 (1989).Geometric phase and topological transition point in acoustic system.Zak phase describes the geometric property of a 1D bulk band.For a 1D system with mirror symmetry,the Zak phase is quantized as 0 or 1,2.The value of the Zak phase of a band is related to the symmetry types (even or odd) of the two band edge states of this band2,3.If the two band edge states are of the same type,the Zak Geometric phase and band inversion in periodic acoustic the two band-edge states of a band.Thus,the Zak phase of a bulk band and the topological characters of the two bandgaps sandwiching this band can be related to each other through the symmetry types of the band-edge states.Owing to the inversion symmetry that is inherent in the system under consideration,the geometric Zak phase can take only

Feb 23,2015 Geometric phase and band inversion in periodic acoustic#0183;Geometric phase and band inversion in periodic acoustic systems M.,Ma,G.,Yang,Z.et al.Geometric phase and band inversion in periodic acousticFlexible manipulation of topologically protected waves in Mar 15,2020 Geometric phase and band inversion in periodic acoustic#0183;Recently,the relationship of Zak phase and Bloch bands in acoustic phononic systems is also well studied [12,18].Another inspiring research area in PnCs is tunable phononic systems made of soft hyperelastic materials.Solid phononic systems made of traditional materials are hardly able to change their material properties and geometric structures.Flexible manipulation of topologically protected waves in Geometric phase and band inversion in periodic acoustic#0183;Xiao M,Ma G C,Yang Z Y,Sheng P,Zhang Z-Q and Chan C T 2015 Geometric phase and band inversion in periodic acoustic systems Nat.Phys.11 240 Crossref Google Scholar [25]

The band inversion occurs at orange strips.Zak phase (blue number) of each band is also marked at the center of the band in (a,b).(c) The transmission spectrum of a composite ES system composed of 20-unit cells on both sides of the interface.The sharp peak at 2.83 indicates the interface mode.Cited by 341Publish Year 2015Author Meng Xiao,Guancong Ma,Zhiyu Yang,Ping Sheng,Z.Q.Zhang,Che Ting ChanGeometric phase and band inversion in periodic acoustic Geometric phase and band inversion in periodic acoustic systems Article (PDF Available) in Nature Physics 11(3):240 February 2015 with 1,573 Reads How we measure 'reads'Cited by 341Publish Year 2015Author Meng Xiao,Guancong Ma,Zhiyu Yang,Ping Sheng,Z.Q.Zhang,Che Ting ChanGeometric phase and band inversion in periodic acoustic Geometric phase and band inversion in periodic acoustic#0183;Fig.1 Model and geometry.Fig.2 Self-induced edge states and the origin of their immunity against defects. Xiao,M.et al.Geometric phase and band inversion in periodic acoustic

This thesis is concerned with the relationship between the geometric phase of the bulk bands in a periodic classical wave system and the surface impedance of a truncated bulk.As the Brillouin zone of a periodic system can be regarded as having a torus topology,the integral of Berry curvature over the closed torus is known to be topological and quantized as integers.Actively Controllable Topological Phase Transition in 7 hours ago Geometric phase and band inversion in periodic acoustic#0183;The geometrical phase inversion of acoustic waves in a phononic tube has been studied by Xiao et we propose a model to achieve geometric phase inversion by employing periodic electrical boundary conditions.In this way,the working frequency G.Ma,Z.Yang,P.Sheng,Z.Q.Zhang,C.T.Chan,Geometric phase and band inversion in periodic Acoustic rat-race coupler and its applications in non Jul 31,2019 Geometric phase and band inversion in periodic acoustic#0183;The geometry of the proposed rat-race coupler is represented in Fig.1(b).It consists of four ports placed around one half of a ring resonator at 0,60,120,and 180 deg. Z.Q.Zhang,and C.T.Chan, Geometric phase and band inversion in periodic acoustic systems, Nat.Phys.11,240

Jun 24,2020 Geometric phase and band inversion in periodic acoustic#0183;Alternatively,the Zak phase n Zak can also be determined from the symmetry states of the eigenmode at the edge and center of the Brillouin zone (BZ),45 45.M.Xiao,G.Ma,Z.Yang,P.Sheng,Z.Zhang,and C.T.Chan, Geometric phase and band inversion in periodic acoustic systems, Nat.Phys.11,240 (2015).

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