Conformally invariant charge fluctuations in a strange metal

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Hauptverfasser: Guo, Xuefei, Chen, Jin, Hoveyda-Marashi, Farzaneh, Bettler, Simon L., Chaudhuri, Dipanjan, Kengle, Caitlin S., Schneeloch, John A., Zhang, Ruidan, Gu, Genda, Chiang, Tai-Chang, Tsvelik, Alexei M., Faulkner, Thomas, Phillips, Philip W., Abbamonte, Peter
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Veröffentlicht: 2024
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author Guo, Xuefei
Chen, Jin
Hoveyda-Marashi, Farzaneh
Bettler, Simon L.
Chaudhuri, Dipanjan
Kengle, Caitlin S.
Schneeloch, John A.
Zhang, Ruidan
Gu, Genda
Chiang, Tai-Chang
Tsvelik, Alexei M.
Faulkner, Thomas
Phillips, Philip W.
Abbamonte, Peter
author_facet Guo, Xuefei
Chen, Jin
Hoveyda-Marashi, Farzaneh
Bettler, Simon L.
Chaudhuri, Dipanjan
Kengle, Caitlin S.
Schneeloch, John A.
Zhang, Ruidan
Gu, Genda
Chiang, Tai-Chang
Tsvelik, Alexei M.
Faulkner, Thomas
Phillips, Philip W.
Abbamonte, Peter
contents The strange metal is a peculiar phase of matter in which the electron scattering rate, $τ^{-1} \sim k_B T/\hbar$, 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, $χ''(q,ω)$. 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 $χ''(q,ω) = T^{-ν} f(ω/T)$, with exponent $ν= 0.93$. 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 $Δ= 0.05$. Our study indicates that the strange metal is a universal phenomenon whose properties are not determined by microscopic properties of a particular material.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11164
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conformally invariant charge fluctuations in a strange metal
Guo, Xuefei
Chen, Jin
Hoveyda-Marashi, Farzaneh
Bettler, Simon L.
Chaudhuri, Dipanjan
Kengle, Caitlin S.
Schneeloch, John A.
Zhang, Ruidan
Gu, Genda
Chiang, Tai-Chang
Tsvelik, Alexei M.
Faulkner, Thomas
Phillips, Philip W.
Abbamonte, Peter
Strongly Correlated Electrons
High Energy Physics - Phenomenology
The strange metal is a peculiar phase of matter in which the electron scattering rate, $τ^{-1} \sim k_B T/\hbar$, 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, $χ''(q,ω)$. 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 $χ''(q,ω) = T^{-ν} f(ω/T)$, with exponent $ν= 0.93$. 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 $Δ= 0.05$. Our study indicates that the strange metal is a universal phenomenon whose properties are not determined by microscopic properties of a particular material.
title Conformally invariant charge fluctuations in a strange metal
topic Strongly Correlated Electrons
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2411.11164