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Quantum critical point of Dirac fermion mass generation without spontaneous symmetry breaking

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 {\it 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.

preprint2016arXivOpen access
Yuan-Yao HeHan-Qing WuYi-Zhuang YouCenke XuZi Yang MengZhong-Yi Lu
cond-mat.str-el
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Yuan-Yao HeHan-Qing WuYi-Zhuang YouCenke XuZi Yang MengZhong-Yi Lu

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