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Quantum criticality in a dissipative (2+1)-dimensionalXYmodel of circulating currents in high-Tccuprates

2011/11/02 by Iver Bakken Sperstad, Einar B. Stiansen, Asle Sudbø · 1 citation
Mathematics · Physics and Astronomy · #Correlation function (quantum field theory) #Critical exponent #Exponent #Mathematical physics #Mathematics #Monte Carlo method #Parametrization (atmospheric modeling) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Position and momentum space #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.84.180503

published as Phys. Rev. B 84, 180503(R) (2011) · 5 pages, 2 figures. Accepted for publication in Phys. Rev. B Rapid Communications

arxiv created 2011/11/02 · openalex publication_date 2011/11/08 · arxiv updated 2011/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 CuO2 unit cells in cuprates, are compact, \ensuremathθ_r,\ensuremathτ\ensuremath∈[\ensuremath-\ensuremathπ,\ensuremathπ\ensuremath⟩. The dynamical critical exponent is found to be z\ensuremath≈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.

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