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Universal Behavior of Low Energy Potential Scattering for General Dispersions

ORAL

Abstract

Scattering behavior in the low energy limit has been well studied for quadratic dispersion relations. However, in recent years, systems that exhibit higher order (>2) dispersions have

become experimentally realizable in synthetic quantum systems, including multilayer graphene and atomic arrays, and scattering for these dispersions is not as well understood. In a recent

work, we discovered classes of novel universal scattering behaviors for general dispersions, characterized by the divergent density of states, although these universality classes were only

determined for emitter scattering. In this research, we further study this universality by classifying the behavior for general potential scattering at low energies.

Presenters

  • Kevin Xu

    Harvard University

Authors

  • Kevin Xu

    Harvard University

  • Yidan Wang

    Harvard University

  • Susanne F Yelin

    Harvard University