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<p>A major puzzle in high-<i>T</i><sub>c</sub> superconductivity is the origin of the “Planckian” relaxation rate 1/<i>τ</i> underlying the linear-in-temperature resistivity in the strange-metal state, which persists up to very high temperatures. Implicit in theoretical discussions is the assumption that 1/<i>τ</i> must be universal. Experimentally, it is unclear, however, how such universality can be reconciled with the observed strong doping dependence of the resistivity over a wide doping range. We show, through an analysis of a large body of optical conductivity and electrical resistivity data, that a universal 1/<i>τ</i> requires only that the square optical plasma frequency <InlineEquation ID="IEq1"><EquationSource Format="TEX">\({\omega }_{{{\rm{opt}}}}^{2}(p)\)</EquationSource><EquationSource Format="MATHML"><math><msubsup><mrow><mi>ω</mi></mrow><mrow><mi mathvariant="normal">opt</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mrow><mo>(</mo><mrow><mi>p</mi></mrow><mo>)</mo></mrow></math></EquationSource></InlineEquation> scales linearly with hole doping <i>p</i> across the entire doping range, as is observed experimentally. We further argue that this can be understood via a Gutzwiller factor in doped Mott insulators of the form proposed by Anderson.</p>

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Universal Planckian dissipation in the strange metal state of the cuprates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月26日

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  • A. Shekhter,
  • B. J. Ramshaw,
  • M. K. Chan,
  • N. Harrison

摘要

A major puzzle in high-Tc superconductivity is the origin of the “Planckian” relaxation rate 1/τ underlying the linear-in-temperature resistivity in the strange-metal state, which persists up to very high temperatures. Implicit in theoretical discussions is the assumption that 1/τ must be universal. Experimentally, it is unclear, however, how such universality can be reconciled with the observed strong doping dependence of the resistivity over a wide doping range. We show, through an analysis of a large body of optical conductivity and electrical resistivity data, that a universal 1/τ requires only that the square optical plasma frequency \({\omega }_{{{\rm{opt}}}}^{2}(p)\)ωopt2(p) scales linearly with hole doping p across the entire doping range, as is observed experimentally. We further argue that this can be understood via a Gutzwiller factor in doped Mott insulators of the form proposed by Anderson.