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October 20, 20250 citationsOpen Access

Theory of universal Planckian metal in t-J model: application for high-Tc cuprate superconductors

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YCYung-Yeh ChangKNKhoe Van NguyenKRKimberly Remund

Key Points

  • Results indicate that the Planckian bad metal phase exhibits perfect T-linear resistivity in cuprate superconductors.
  • Theoretical model aligns well with experimental observations of charge Kondo fluctuations and transitions near critical points.
  • The analysis is based on a large-N multi-channel Kondo lattice model derived from the conventional t-J model, supporting its relevance.
  • Findings propose broader implications for understanding behaviors in other unconventional superconductors.

Abstract

The mysterious quantum-critical Planckian bad metal phase with perfect T-linear resistivity persisting beyond the quasi-particle limit and universal T-linear scattering rate has been observed in various high-Tc cuprate superconductors. Here, we develop a realistic theoretical approach to this phase in an analytically solvable large-N multi-channel Kondo lattice model, derived from a heavy-fermion formulated conventionaL t-J model, known for qualitatively describing cuprates. This phase is originated from critical charge Kondo fluctuations where disordered local bosonic charge fluctuations couple to spinon and heavy conduction-electron Fermi surfaces near a charge-Kondo-breakdown local quantum critical point associated with pseudogap-to-Fermi liquid transition. Our results show excellent agreement with experiments and offer broad implications for other unconventional superconductors.

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Cite This Study

Chang et al. (2025) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf7f0https://doi.org/10.48550/arxiv.2506.15552
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