Self-duality protected multicriticality in deconfined quantum phase transitions
Self-duality protected multicriticality in deconfined quantum phase transitions
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DOI：
10.1103/physrevb.104.205142
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发表时间：
2021-04
影响因子：
3.7
通讯作者：
D. Lu;Cenke Xu;Yi-Zhuang You
中科院分区：
文献类型：
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作者：
D. Lu;Cenke Xu;Yi-Zhuang You
对偶性对重正化群流和相图施加了重要的约束。对于自对偶理论，自对偶性可以推广为对称性，这导致了多重临界性。这项工作研究了去限制量子临界性的描述，$N_f=2$ QED$_3$，作为自对偶理论及其在微扰变形下的多临界行为的一个例子。多临界性由 Gross-Neveu 耦合理论描述，并且属于与标准解禁量子临界性不同的普适性类别。我们通过大$N$重整化群分析，用Chern-Simons项和Gross-Neveu耦合系统地计算了3d量子电动力学中各种算子的标度维数。具体来说，我们发现与晶格模型中的二聚体-二聚体相互作用相对应的某些非相对论四费米子相互作用将驱动解禁量子临界性到一阶跃迁，这与之前的数值研究一致。
Duality places an important constraint on the renormalization group flows and the phase diagrams. For self-dual theories, the self-duality can be promoted as a symmetry, this leads to the multi-criticalities. This work investigates a description of the deconfined quantum criticality, the $N_f=2$ QED$_3$, as an example of self-dual theories and its multi-critical behavior under perturbative deformations. The multi-criticality is described by the theory with Gross-Neveu couplings and falls in a different universality class than the standard deconfined quantum criticality. We systematically calculate the scaling dimensions of various operators in the 3d quantum electrodynamics with the Chern-Simons term and Gross-Neveu couplings by the large-$N$ renormalization group analysis. Specifically, we find certain non-relativistic four-fermion interactions corresponding to the dimer-dimer interactions in the lattice model will drive the deconfined quantum criticality to the first-order transition, consistent with previous numerical studies.