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Reconstructing the quantum critical fan of strongly correlated systems using quantum correlations

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  • Irénée Frérot

    (ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology
    University of Lyon, Ens de Lyon, University Claude Bernard, CNRS, Laboratoire de Physique)

  • Tommaso Roscilde

    (University of Lyon, Ens de Lyon, University Claude Bernard, CNRS, Laboratoire de Physique
    Institut Universitaire de France)

Abstract

Albeit occurring at zero temperature, quantum critical phenomena have a huge impact on the finite-temperature phase diagram of strongly correlated systems, giving experimental access to their observation. Indeed, the existence of a gapless, zero-temperature quantum critical point induces the existence of an extended region in parameter space—the quantum critical fan (QCF)—characterized by power-law temperature dependences of all observables. Identifying experimentally the QCF and its crossovers to other regimes (renormalized classical, quantum disordered) remains nonetheless challenging. Focusing on paradigmatic models of quantum phase transitions, here we show that quantum correlations—captured by the quantum variance of the order parameter—exhibit the temperature scaling associated with the QCF over a parameter region much broader than that revealed by ordinary correlations. The link existing between the quantum variance and the dynamical susceptibility paves the way to an experimental reconstruction of the QCF using spectroscopic techniques.

Suggested Citation

  • Irénée Frérot & Tommaso Roscilde, 2019. "Reconstructing the quantum critical fan of strongly correlated systems using quantum correlations," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-08324-9
    DOI: 10.1038/s41467-019-08324-9
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    Cited by:

    1. Ding, L.J. & Xiang, Y.X., 2023. "Thermodynamic signature of topological quantum phase transition in a two-leg Kitaev ladder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    2. Ding, L.J. & Xiang, L. & Zhong, Y., 2022. "Thermodynamics and correlations featured quantum criticality of transverse-field Ising model with off-diagonal exchange interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).

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