Quantum criticality in a dissipative (2+1)-dimensional XY model of circulating currents in high-Tc cuprates

Abstract

We present large-scale Monte Carlo results for the dynamical critical exponent z and the spatio-temporal two-point correlation function of a (2+1)-dimensional quantum XY model with bond dissipation, proposed to describe a quantum critical point in high-Tc cuprates near optimal doping. The phase variables of the model, originating with a parametrization of circulating currents within the CuO_2 unit cells in cuprates, are compact, {θ_{r,τ}} \in [-π,π>. The dynamical critical exponent is found to be z \approx 1, and the spatio-temporal correlation functions are explicitly demonstrated to be isotropic in space-imaginary time. The model thus has a fluctuation spectrum where momentum and frequency enter on equal footing, rather than having the essentially momentum-independent marginal Fermi liquid-like fluctuation spectrum previously reported for the same model.

5 pages, 2 figures. Accepted for publication in Phys. Rev. B Rapid Communications

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Cited by in corpus (6)

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• Interacting lattice systems with quantum dissipation: a quantum Monte Carlo study
• Quantum criticality in the two-dimensional dissipative quantum XY model-II
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Phase diagram and quantum-criticality of the two dimensional dissipative quantum XY model
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions