Abstract
In high-\(T_\mathrm{c}\) cuprates, many quantities exhibit a non-Fermi liquid universality hinting at a very peculiar structure of the underlying pairing mechanism for superconductivity: in this work, we focus on the universality for the in-plane resistivity and the superfluid density. We outline the previously developed spin–charge gauge approach to superconductivity in hole-doped cuprates: we decompose the hole of the \(t-t'-J\) model for the \(\mathrm {Cu}\mathrm {O}_2\) planes as the product of a spinful, chargeless gapped spinon and a spinless, charged holon with Fermi surface. Each one of these particle excitations is bound to a statistical gauge flux, allowing one to optimize their statistics. We show that this model allows for a natural interpretation of the universality: within this approach, under suitable conditions, the spinonic and holonic contributions to a response function sum up according to the Ioffe–Larkin rule. We argue that, if the spinonic contribution dominates, then one should expect strongly non-Fermi-liquid-like universality, due to the insensitivity of spinons to Fermi surface details. The in-plane resistivity and superfluid density are indeed dominated by spinons in the underdoped region. We theoretically derive these quantities, discussing their universal behaviours and comparing them with experimental data.
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Acknowledgments
For the authors, it is a great pleasure to acknowledge F. Toigo for many illuminating discussions. P.A.M. thanks Z. B. Su, L. Yu and F. Ye for the joy of a longtime collaboration.
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Marchetti, P.A., Bighin, G. Universality in Cuprates: A Gauge Approach. J Low Temp Phys 185, 87–101 (2016). https://doi.org/10.1007/s10909-016-1623-8
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DOI: https://doi.org/10.1007/s10909-016-1623-8