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Numerical Evidence of Emergent Symmetry in Spin-1/2 Heisenberg Chain

Date: 2018-04-18
Time: 16:00
Venue: M830
Speaker: Pranay Patil

Boston University

Abstract: The antiferromagnetic Heisenberg chain is expected to have an extended  symmetry, [SU(2)xSU(2)]/Z_2 , in the infrared limit, whose physical  interpretation is that the spin and dimer order parameters form the components of a common 4-dimensional vector. Here we numerically  investigate this emergent symmetry using quantum Monte Carlo simulations  of a modified Heisenberg chain (the J-Q model) in which the logarithmic  scaling corrections of the conventional Heisenberg chain can be avoided. We show how the two- and three-point spin and  dimer correlation functions approach their forms constrained by conformal field theory as the system size increases and numerically  confirm the expected effects of the extended symmetry on various correlation functions. This talk will be based on work presented in

Host: Zi Yang Meng (9331)