Cavity-renormalized quantum criticality in a honeycomb bilayer antiferromagnet

Abstract

Strong light-matter interactions as realized in an optical cavity provide a tantalizing opportunity to control the properties of condensed matter systems. Inspired by experimental advances in cavity quantum electrodynamics and the fabrication and control of two-dimensional magnets, we investigate the fate of a quantum critical antiferromagnet coupled to an optical cavity field. Using unbiased quantum Monte Carlo simulations, we compute the scaling behavior of the magnetic structure factor and other observables. While the position and universality class are not changed by a single cavity mode, the critical fluctuations themselves obtain a sizable enhancement, scaling with a fractional exponent that defies expectations based on simple perturbation theory. The scaling exponent can be understood using a generic scaling argument, based on which we predict that the effect may be even stronger in other universality classes. Our microscopic model is based on realistic parameters for two-dimensional magnetic quantum materials and the effect may be within the range of experimental detection.

16 pages, 10 figures

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• Magnon and photon blockade in a hybrid antiferromagnet-cavity quantum system
• Phaseless auxiliary-field quantum Monte Carlo method for cavity-QED matter systems
• Cavity-induced coherent magnetization and polaritons in altermagnets
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Carlo.jl: A general framework for Monte Carlo simulations in Julia
• Modifying electronic and structural properties of 2D van der Waals materials via cavity quantum vacuum fluctuations: A first-principles QEDFT study