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Pseudomagnetic fields for sound at the nanoscale

Significance Unlike electrons, phonons do not feel a magnetic field, because they are not charged. Thus, much of the physics connected with charged particles in magnetic fields is absent for phonons, be it the Lorentz force or the unidirectional transport along the sample edges. Recently, researchers have started to study how one might make phonons akin to electrons in a magnetic field or related topological settings. The first experimental implementations involving coupled pendula or gyroscopes or air currents have already been realized at the macroscopic scale. Here, we describe a design that is well-suited for the nanoscale. It is purely geometric in nature and could be implemented based on an already experimentally demonstrated platform, a simple patterned 2D material. There is a growing effort in creating chiral transport of sound waves. However, most approaches so far have been confined to the macroscopic scale. Here, we propose an approach suitable to the nanoscale that is based on pseudomagnetic fields. These pseudomagnetic fields for sound waves are the analogue of what electrons experience in strained graphene. In our proposal, they are created by simple geometrical modifications of an existing and experimentally proven phononic crystal design, the snowflake crystal. This platform is robust, scalable, and well-suited for a variety of excitation and readout mechanisms, among them optomechanical approaches.