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Main Authors: Nicholls, Rebecca, Hinlopen, Roemer, Ayres, Jake, Kotte, Tommy, Forster, Tobias, Park, Joonbum, Sourd, Jeremy, Carrington, Antony, Hussey, Nigel
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.14342
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author Nicholls, Rebecca
Hinlopen, Roemer
Ayres, Jake
Kotte, Tommy
Forster, Tobias
Park, Joonbum
Sourd, Jeremy
Carrington, Antony
Hussey, Nigel
author_facet Nicholls, Rebecca
Hinlopen, Roemer
Ayres, Jake
Kotte, Tommy
Forster, Tobias
Park, Joonbum
Sourd, Jeremy
Carrington, Antony
Hussey, Nigel
contents Whether a quantum critical point (QCP) demarcates the end of the pseudogap (PG) regime in hole-doped cuprates at a singular doping level $p^* \approx 0.19$ remains an open question. A crucial part of this puzzle is how the carrier density predicted by electronic structure calculations is recovered for $p > p^*$. Here, we use magnetic fields up to 67 T to suppress superconductivity down to 50 K, allowing simultaneous measurement of the low-temperature Hall number $n_{\mathrm{H}}$ and the in-plane resistivity anisotropy $ρ_a/ρ_b$ in overdoped Y$_{1-x}$Ca$_x$Ba$_2$Cu$_3$O$_{7-δ}$ single crystals. We confirm a previous finding [Badoux et al., Nature 531, 210 (2016)] that $n_{\mathrm{H}}$(50 K) exhibits a sharp increase below $p^*$. Using the measured resistivity anisotropy, we extract the planar carrier density $n_{\mathrm{pl}} = n_{\mathrm{H}} (ρ_a/ρ_b)^{-1}$. The doping dependence of $n_{\mathrm{pl}}$(50 K) reveals two key findings: (i) at optimal doping, $n_{\mathrm{pl}} \approx p$, and (ii) the sharp rise in $n_{\mathrm{H}}(p)$ is softened such that the full Fermi volume ($n_{\mathrm{pl}} = 1 + p$) is only partially recovered at $p^*$. This result disfavors a conventional QCP scenario in which the PG endpoint corresponds to a reconstructed Fermi surface.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14342
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Doping dependence of the low temperature planar carrier density in overdoped YBa$_2$Cu$_3$O$_{7-δ}$
Nicholls, Rebecca
Hinlopen, Roemer
Ayres, Jake
Kotte, Tommy
Forster, Tobias
Park, Joonbum
Sourd, Jeremy
Carrington, Antony
Hussey, Nigel
Superconductivity
Whether a quantum critical point (QCP) demarcates the end of the pseudogap (PG) regime in hole-doped cuprates at a singular doping level $p^* \approx 0.19$ remains an open question. A crucial part of this puzzle is how the carrier density predicted by electronic structure calculations is recovered for $p > p^*$. Here, we use magnetic fields up to 67 T to suppress superconductivity down to 50 K, allowing simultaneous measurement of the low-temperature Hall number $n_{\mathrm{H}}$ and the in-plane resistivity anisotropy $ρ_a/ρ_b$ in overdoped Y$_{1-x}$Ca$_x$Ba$_2$Cu$_3$O$_{7-δ}$ single crystals. We confirm a previous finding [Badoux et al., Nature 531, 210 (2016)] that $n_{\mathrm{H}}$(50 K) exhibits a sharp increase below $p^*$. Using the measured resistivity anisotropy, we extract the planar carrier density $n_{\mathrm{pl}} = n_{\mathrm{H}} (ρ_a/ρ_b)^{-1}$. The doping dependence of $n_{\mathrm{pl}}$(50 K) reveals two key findings: (i) at optimal doping, $n_{\mathrm{pl}} \approx p$, and (ii) the sharp rise in $n_{\mathrm{H}}(p)$ is softened such that the full Fermi volume ($n_{\mathrm{pl}} = 1 + p$) is only partially recovered at $p^*$. This result disfavors a conventional QCP scenario in which the PG endpoint corresponds to a reconstructed Fermi surface.
title Doping dependence of the low temperature planar carrier density in overdoped YBa$_2$Cu$_3$O$_{7-δ}$
topic Superconductivity
url https://arxiv.org/abs/2506.14342