Criticality of Dirac fermions in the presence of emergent gauge fields
Criticality of Dirac fermions in the presence of emergent gauge fields
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DOI：
10.1103/physrevb.101.155121
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发表时间：
2020-02
影响因子：
3.7
通讯作者：
Elliot Christou;Fernado de Juan;F. Krüger
中科院分区：
文献类型：
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作者：
Elliot Christou;Fernado de Juan;F. Krüger
本文研究了强相互作用的二维狄拉克费米子与质量和涌现规范场序参量的最小耦合的自发对称破缺跃迁。使用重整化群分析，我们表明，规范场的存在下，导致新的费米子诱导量子（多）临界假定紧急洛伦兹不变性被违反。我们说明了这一点的例子，由于蜂窝晶格上的电荷密度波序的平移对称性破缺。最后，我们确定，拓扑相变很好地描述了这种有效场理论。
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.