Princeton University Library Catalog

Many-Body Localization in the Massless Schwinger Model

Author/​Artist:
Akhtar, Ahmed [Browse]
Format:
Senior thesis
Language:
English
Advisor(s):
Sondhi, Shivaji L. [Browse]
Department:
Princeton University. Department of Physics [Browse]
Certificate:
Princeton University. Program in Applications of Computing [Browse]
Class year:
2017
Summary note:
The massless Schwinger model, a one-dimensional system of massless fermions with a long-range Coulombic interaction, is equivalent to a non-interacting bosonic field with a mass term in the bosonization regime. This begs the question: does the massless Schwinger model many-body localize upon the addition of disorder? We answer this question by calculating the level statistics ratio for the disordered massless Schwinger model in the low-interaction regime, where bosonization applies. Our results suggest that the system many-body localizes in the bosonization regime at low energy densities. We present numerical evidence from finite size studies of a lattice version of the model in support of this conclusion.