Quantum critical behavior in three dimensional lattice Gross-Neveu models

We study quantum critical behavior in three dimensional lattice Gross-Neveu models containing two four-component massless Dirac fermions. We focus on two models with SU(2) flavor symmetry and either a Z2 or a U(1) chiral symmetry. Both models could not be studied earlier due to sign problems. We use the fermion bag approach which is free of sign problems and compute critical exponents at the phase transitions. We estimate ν=0.83(1), η=0.62(1), ηψ=0.38(1) in the Z2 and ν=0.849(8), η=0.633(8), ηψ=0.373(3) in the U(1) model. © 2013 American Physical Society.

Duke Scholars

Author Shailesh Chandrasekharan Physics