title: Topological boundary modes in jammed matter.
abstract: Granular matter at the jamming transition is poised on the brink of mechanical stability, and hence it is possible that these random systems have topologically protected surface phonons. Studying two model systems for jammed matter, we find states that exhibit distinct mechanical topological classes, protected surface modes, and ubiquitous Weyl points. The detailed statistics of the boundary modes shed surprising light on the properties of the jamming critical point and help inform a common theoretical description of the detailed features of the transition.
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104, USA. dsussman@sas.upenn.edu.
authors.forename: Daniel M
authors.initials: DM
authors.lastname: Sussman
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104, USA. dsussman@sas.upenn.edu.
authors.forename: Olaf
authors.initials: O
authors.lastname: Stenull
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104, USA. dsussman@sas.upenn.edu.
authors.forename: T C
authors.initials: TC
authors.lastname: Lubensky