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arXiv · 2104.05147

Self-duality protected multi-criticality in deconfined quantum phase transitions

Da-Chuan Lu·Cenke Xu·Yi-Zhuang You
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Abstract

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.

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Da-Chuan Lu, Cenke Xu, Yi-Zhuang You. 2021-11-29. Self-duality protected multi-criticality in deconfined quantum phase transitions. https://doi.org/10.1103/physrevb.104.205142

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