The Aharonov-Bohm effect revisited by an acoustic time-reversal mirror. Observation of unidirectional backscattering-immune topological electromagnetic states. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Room-temperature quantum Hall effect in graphene. Experimental observation of the quantum Hall effect and Berry’s phase in graphene. Quantized Hall conductance in a two-dimensional periodic potential. Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices. Elastic analog of graphene: Dirac cones and edge states for flexural waves in thin plates.
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Dirac cones in two-dimensional acoustic metamaterials. Acoustic analog of monolayer graphene and edge states. Dirac cones in two-dimensional artificial crystals for classical waves. Acoustic analogue of graphene: observation of Dirac cones in acoustic surface waves. Extremal transmission and beating effect of acoustic waves in two-dimensional sonic crystals. Extremal transmission at the Dirac point of a photonic band structure. Strain-induced gauge field and Landau levels in acoustic structures. Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures. Observation of acoustic Landau quantization and quantum-Hall-like edge states. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering. Ab initio calculation of ideal strength and phonon instability of graphene under tension. Spin-Orbit interaction and magnetoresistance in the two dimensional random system. Zak phase and the existence of edge states in graphene. Observation of elastic topological states in soft materials. Sufficient condition for the existence of interface states in some two-dimensional photonic crystals. Topological nanophononic states by band inversion. Band transition and topological interface modes in 1D elastic phononic crystals. Demonstrating an In Situ topological band transition in cylindrical granular chains. This paper reports the first observation of the Zak phase and topological transition in a phononic crystal.Ĭhaunsali, R., Kim, E., Thakkar, A., Kevrekidis, P. Geometric phase and band inversion in periodic acoustic systems.
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Designing topological interface states in phononic crystals based on the full phase diagrams.
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Simultaneous multi-frequency topological edge modes between one-dimensional photonic crystals.
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Controlling interface states in 1D photonic crystals by tuning bulk geometric phases. Surface impedance and bulk band geometric phases in one-dimensional systems. Berry’s phase for energy bands in solids. Topological subspace induced bound states in continuum. Topological transport of sound mediated by spin-redirection geometric phase. Observation of a non-adiabatic geometric phase for elastic waves. Observation of Berry’s topological phase by use of an optical fiber. Foucault pendulum through basic geometry. Quantal phase factors accompanying adiabatic changes. Generalized theory of interference and its applications. Ultrasonic band gap in a periodic two-dimensional composite. Acoustic band structure of periodic elastic composites. Band structure of elastic waves in two dimensional systems.