Quantum critical point of Dirac fermion mass generation without spontaneous symmetry breaking
Abstract
We study a lattice model of interacting Dirac fermions in (2+1) dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a continuous quantum phase transition from the weakly interacting Dirac semimetal to a fully gapped and nondegenerate phase without condensing any Dirac fermion bilinear mass operator. This unusual mechanism for mass generation is consistent with recent studies of interacting topological insulators/superconductors, and also consistent with recent progresses in lattice QCD community.
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