IQIM Postdoctoral and Graduate Student Seminar

Abstract:

Fractional Quantum Hall (FQH) systems are theorized to play host to an enormous array of exotic phases. But whether these phases are the ground state of an experimentally relevant system is a difficult quantitative question which can only be tacked by numerical methods. In this talk I will give an introduction to some of the exotic phases proposed in FQH systems, and I will describe how to use Density Matrix Renormalization Group (DMRG) algorithms to find which of these exotic states is the ground state of a realistic system. I will then discuss an application of these ideas to the case of bilayer quantum Hall systems at 1/3+1/3 filling, where a non-Abelian phase is found.