Condensed Matter Virtual Seminar - 2:00pm - 3:00pm - https://bluejeans.com/868758165
February 25, 2021 - 2:00pm to 3:00pm
University of California Riverside
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.
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".