## What is/are Three Dimensional Chiral?

Three Dimensional Chiral - In the paper, we study the mechanical behavior of a three-dimensional chiral mechanical metamaterial using numerical modeling.^{[1]}By doubling a non-Hermitian Hamiltonian to a Hermitian three-dimensional chiral topological insulator, we show that the disclination-induced skin modes are zero modes of the effective surface Dirac fermion(s) in the presence of a pseudomagnetic flux induced by disclinations.

^{[2]}Compared with three-dimensional chiral structures, planar chiral structures with easy preparation show a weak CD effect.

^{[3]}The chiral recognition mechanism was discussed specifically, which resulted from the formation of an efficient three-dimensional chiral nanospace.

^{[4]}In this work, we demonstrate that three-dimensional chiral mechanical metamaterials are able to self-twist and control their global rotation.

^{[5]}If suitably applied, such controls provide the means to drive an isotropic metal along a growth pathway yielding a three-dimensional chiral geometry.

^{[6]}Here, utilizing the sputtering and the focused ion beam milling methods, we fabricate a quasi-three-dimensional chiral microstructure using molybdenum disulfide.

^{[7]}Here, we present three-dimensional chiral mechanical metamaterials with tailorable characteristic length as a scientific application.

^{[8]}Here, we study the formation of three-dimensional chiral magnetization structures in FeGe nanospheres by means of micromagnetic finite-element simulations.

^{[9]}Three-dimensional chirality can only be characterized by tomography or with a probe that has controllable helicity.

^{[10]}In order to develop a simple fabrication method for three-dimensional chiral Au nanostructure with a size of several hundred nanometers, chiral gold nanoparticles were developed to transfer chirality of a peptide to gold nanoparticles.

^{[11]}The three-dimensional chiral assembly of chlorophylls is an optimized biological architecture that enables maximum energy transfer efficiency with precisely designed coupling between chlorophylls.

^{[12]}In our experiments, we spatiotemporally resolve the motion of three-dimensional chiral microstructured polymer metamaterials, with nanometer precision and under time-harmonic excitation at ultrasound frequencies in the range from 20 to 180 kHz.

^{[13]}As a demonstration, we reveal the equivalence of typical three-dimensional chiral metamaterials in the continuum limit.

^{[14]}In this paper, we present five general three-dimensional chirality invariants based on the generating functions.

^{[15]}A novel three-dimensional chiral kinetic transport equation is established by inspecting the nonrelativistic limit of the curved spacetime approach in the rotating frame for a comoving observer in the presence of electromagnetic fields.

^{[16]}We consider a three-dimensional chiral cubic mechanical metamaterial architecture that is different from the one that we have investigated in recent early experiments.

^{[17]}We report an experimental demonstration of a machine learning approach to identify exotic topological phases, with a focus on the three-dimensional chiral topological insulators.

^{[18]}The three-dimensional chiral metamaterials have acquired a giant chiral response, but complex processes make it difficult to be integrated directly into nanophotonic devices.

^{[19]}Such functionality can be realized by constructing a three-dimensional chiral channel in photonic crystals, of which the fabrication process cannot be compatible to complementary metal-oxide-semiconductor lithography.

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