Matrix Product State approach to quantum Hall quasielectrons

ORAL

Abstract

Matrix product state (MPS) techniques have been successfully used to study quasiholes in different quantum Hall states. In particular it has provided a numerically very efficient way to calculate statistical braiding phases. So far it has been hard to generalize these methods to also describe quasielectrons. Using recently developed techniques for constructing explicit wave functions for the abelian quantum Hall hierarchy, we suggest a new way to construct MPS wave functions for states containing quasielectrons, and also for Abelian hierarchy states.

Authors

  • Hans Hansson

    Stockholm University

  • Eddy Ardonne

    Stockholm University

  • Jonas Kjäll

    Stockholm University