ICTS

The Schwinger model describes one dimensional electrons and positrons interacting via the Coulomb force.  I will discuss the addition of randomness in its lattice implementation which yields a system with linearly growing interactions and disorder. I will show that this system exhibits (asymptotic) many body localization and as such provides a counter-example to the belief that very long ranged interactions always destabilize localization. I will also describe some interesting features of this system at a commensurate filling such as its evasion of the Imry-Ma theorem on symmetry breaking in the presence of randomness.