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Elasticity and Response in Mechanical Topological Lattices

Presented by: 
Tom Lubensky University of Pennsylvania, 5G Innovation Centre
Date: 
Thursday 16th May 2019 - 11:10 to 11:50
Venue: 
INI Seminar Room 1
Abstract: 
Ball-and-Spring lattices that have a perfect balance between the number of degrees of freedom and the number of constraining springs under periodic boundary conditions have topologically protected zero-energy surface modes and nonlinear elastic Guest-Hutchinson modes. This talk will provide an overview of these modes in various model systems, including one whose excitation spectrum matches that of a quantum model on a honeycomb lattice introduced by Kitaev. It will also discuss bulk and surface excitation in systems in which the number constraining springs exceeds the number of degrees of freedom.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons