We consider spontaneous symmetry breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using a renormalization group analysis, we show that the presence of gauge fields leads to novel fermion induced quantum (multi-)criticality where the putative emergent Lorentz invariance is violated. We illustrate this with the example of translational symmetry breaking due to charge-density wave order on the honeycomb lattice. Finally, we identify that topological phase transitions are well described by this effective field theory.

中文翻译：

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出现新兴规范场时狄拉克费米子的新临界性

我们考虑强耦合的二维狄拉克费米子与质量和紧急应变场序参数最小耦合的自发对称破坏跃迁。使用重归一化组分析，我们显示规范场的存在会导致新颖的费米子诱导的量子（多）临界，其中违反了假定的紧急洛伦兹不变性。我们以在蜂窝晶格上由于电荷密度波阶而引起的平移对称性破坏的例子来说明这一点。最后，我们确定这种有效的场论很好地描述了拓扑相变。