Theoretical Sciences Unit Seminar on 27th May 2022 (Friday).
Title: Emergent electromagnetism in Jammed granular solids
Speaker: Prof. Subhro Bhattacharjee
Affiliation: ICTS, Bangalore
Date and Time: 27th May 2022 (Friday) Time: 11:00 AM Tea/Coffee: 10:45 AM
Venue: Kanada Auditorium, JNCASR
Abstract:
Emergence of low energy degrees of freedom is a recurrent theme in
condensed matter systems. In more familiar systems such as crystalline
solids the emergence of phonons as collective modes of vibration are
associated mainly with broken translational symmetry that governs the
physics at low temperatures. However, in a wide class of systems, local
energetic constraints may take the form of Gauss's law giving rise to an
emergent electromagnetism at low energies. In this talk, I shall show
that local conditions of mechanical equilibrium in granular solids have
the mathematical structure of a generalized Gauss's law for a rank-2 U(1)
electromagnetism. The electrostatic limit of this tensor electromagnetism
successfully captures the anisotropic "elasticity" of granular solids and
provides a new framework to understand a large class of such systems.