Jul 26 – 30, 2021
US/Eastern timezone

Critical exponents at the spin-charge flip symmetric fixed point in 2+1d with massless Dirac fermions

Jul 26, 2021, 9:45 PM
15m
Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speaker

Emilie Huffman (Perimeter Institute for Theoretical Physics)

Description

In the Hamiltonian picture, free spin-1/2 Dirac fermions on a bipartite lattice have an O(4) (spin-charge) symmetry. Here we construct an interacting lattice model with an interaction V, which is similar to the Hubbard interaction but preserves the spin-charge flip symmetry. By tuning the coupling V, we show that we can study the phase transition between the massless fermion phase at small V and a massive fermion phase at large V. We construct a fermion bag algorithm to study this phase transition and find evidence for it to be second order. Perturbative calculations show that the universality class of the transition is different from the one studied earlier involving the Hubbard coupling U. Here we obtain some critical exponents using lattices up to L=48.

Primary authors

Emilie Huffman (Perimeter Institute for Theoretical Physics) Dr Ribhu Kaul (University of Kentucky) Prof. Shailesh Chandrasekharan (Duke University) Hanqing Liu (Duke University)

Presentation materials