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Conformally invariant charge fluctuations in a strange metal

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arxiv 2411.11164 v1 pith:BXWEHKO7 submitted 2024-11-17 cond-mat.str-el hep-ph

Xuefei Guo , Jin Chen , Farzaneh Hoveyda-Marashi , Simon L. Bettler , Dipanjan Chaudhuri , Caitlin S. Kengle , John A. Schneeloch , Ruidan Zhang
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Genda Gu Tai-Chang Chiang Alexei M. Tsvelik Thomas Faulkner Philip W. Phillips Peter Abbamonte
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classification cond-mat.str-elhep-ph
keywords metalstrangeomegachargeconformaldeterminedelectronproperties
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abstract

The strange metal is a peculiar phase of matter in which the electron scattering rate, $\tau^{-1} \sim k_B T/\hbar$, which determines the electrical resistance, is universal across a wide family of materials and determined only by fundamental constants. In 1989, theorists hypothesized that this universality would manifest as scale-invariant behavior in the dynamic charge susceptibility, $\chi''(q,\omega)$. Here, we present momentum-resolved inelastic electron scattering measurements of the strange metal Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$ showing that the susceptibility has the scale-invariant form $\chi''(q,\omega) = T^{-\nu} f(\omega/T)$, with exponent $\nu = 0.93$. We find the response is consistent with conformal invariance, meaning the dynamics may be thought of as occurring on a circle of radius $1/T$ in imaginary time, characterized by conformal dimension $\Delta = 0.05$. Our study indicates that the strange metal is a universal phenomenon whose properties are not determined by microscopic properties of a particular material.

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Cited by 5 Pith papers

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  1. Comparative analysis of plasmon modes in layered Lindhard metals and strange metals

    cond-mat.str-el 2025-07 reject novelty 6.0 of 10

    An IR-derived, momentum-independent layer polarizability predicts a single damped plasmon and no surface mode in T-EELS of Bi-2212, in disagreement with published finite-momentum EELS.

  2. The charge density fluctuations and the Shrinking Fermi Liquid scenario for strange metallicity in cuprates

    cond-mat.str-el 2026-07 conditional novelty 5.5 of 10

    Strange metallicity in overdoped cuprates is explained by quasiparticles scattering from RIXS-characterized CDF plus a log-growing damping that shrinks the Fermi-liquid scale.

  3. Long-wavelength density response and momentum resolution in strange-metal charge spectroscopy

    cond-mat.str-el 2026-07 accept novelty 5.0 of 10

    At fixed frequency, charge conservation pins the density response to q², and q-scaled momentum averaging preserves that power law.

  4. Two Channel Multi impurity Kondo model

    cond-mat.str-el 2025-02 conditional novelty 5.0 of 10

    RKKY interactions between two-channel Kondo impurities drive the system to a new WZNW quantum critical point with spin dimension 1/(N+1) and gamma ~ T^{-3/(N+1)}.

  5. The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions

    cond-mat.str-el 2025-01 conditional novelty 3.0 of 10

    The paper attributes the cuprate 'foot' to a disordered spin-density-wave transition and the 'fan' to a disorder-tuned FL-to-FL* Fermi-volume-changing transition described by a two-dimensional Yukawa-SYK model.

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