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Topological boundary modes in jammed matter.

Daniel M Sussman¹, Olaf Stenull¹, T C Lubensky¹

¹Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104, USA. dsussman@sas.upenn.edu.

|June 28, 2016

Summary

This summary is machine-generated.

Granular matter near jamming exhibits topologically protected surface phonons. These findings reveal distinct mechanical topological classes and shed light on the jamming critical point.

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Area of Science:

Physics
Materials Science

Background:

Granular matter near the jamming transition exhibits unique mechanical properties.
The possibility of topologically protected surface phonons in such random systems is unexplored.

Purpose of the Study:

To investigate the existence and properties of topologically protected surface phonons in model jammed matter systems.
To explore the connection between boundary modes and the jamming critical point.

Main Methods:

Studied two model systems for jammed matter.
Analyzed the statistical properties of boundary modes.

Main Results:

Identified states with distinct mechanical topological classes.
Observed protected surface modes and ubiquitous Weyl points.
Characterized the statistics of boundary modes.

Conclusions:

Topologically protected surface phonons exist in jammed matter near criticality.
Boundary mode statistics provide insights into the jamming critical point.
Findings inform a common theoretical description of jamming transitions.