Condensed Matter Virtual Seminar - 2:00pm - 3:00pm - https://bluejeans.com/868758165

Condensed Matter Virtual Seminar - 2:00pm - 3:00pm - https://bluejeans.com/868758165

DMRG study of universal finite-size corrections to central charge at BKT transitions

Date

February 25, 2021 - 2:00pm to 3:00pm

Location

https://bluejeans.com/868758165

Room

Via bluejeans.com

Affiliation

University of California Riverside

Abstract

In this talk, I will present results from a high-precision DMRG study of universal finite-size corrections to the central charge at Berezenskii-Kosterlitz-Thouless transitions. The central charge is an important property of conformal field theories in two spatial dimensions that corresponds roughly to the number of bosonic degrees of freedom in the theory. I provide a quick review of John Cardy’s derivation of the logarithmic corrections of interest and how a DMRG study of the 1D Heisenberg model is the best way to verify them numerically. Then I will review my carefully performed analysis and numerical results. I will end my talk by proposing to test the performance limitations of a MERA network on this problem.

Bio

Dr. Spalding graduated with a physics PhD from University of California Riverside in 2020 with a thesis entitled "Extended hubbard model: Studies on quantum information and disorder".