Thermal Hall conductivity in the strongest cuprate superconductor: Estimate of the mean free path in the trilayer cuprate HgBa$_2$Ca$_2$Cu$_3$O$_{8 + δ}$
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arXiv
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| Natura: | Preprint |
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2025
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| author | Altangerel, Munkhtuguldur Barthélemy, Quentin Lefrançois, Étienne Baglo, Jordan Mezidi, Manel Grissonnanche, Gaël Vallipuram, Ashvini Campillo, Emma Forget, Anne Colson, Dorothée Liang, Ruixing Bonn, D. A. Hardy, W. N. Proust, Cyril Taillefer, Louis |
| author_facet | Altangerel, Munkhtuguldur Barthélemy, Quentin Lefrançois, Étienne Baglo, Jordan Mezidi, Manel Grissonnanche, Gaël Vallipuram, Ashvini Campillo, Emma Forget, Anne Colson, Dorothée Liang, Ruixing Bonn, D. A. Hardy, W. N. Proust, Cyril Taillefer, Louis |
| contents | The thermal Hall conductivity of the trilayer cuprate HgBa$_2$Ca$_2$Cu$_3$O$_{8+δ}$ (Hg1223) - the superconductor with the highest critical temperature $T_c$ at ambient pressure - was measured at temperatures down to 2 K for three dopings in the underdoped regime ($p$ = 0.09, 0.10, 0.11). By combining a previously introduced simple model and prior theoretical results, we derive a formula for the inverse mean free path, $1 / \ell$, which allows us to estimate the mean free path of $d$-wave quasiparticles in Hg1223 below $T_c$. We find that $1 / \ell$ grows as $T^3$, in agreement with the theoretical expectation for a clean $d$-wave superconductor. Measurements were also conducted on the single layer mercury-based cuprate HgBa$_2$CuO$_{6+δ}$ (Hg1201), revealing that the mean free path in this compound is roughly half that of its three-layered counterpart at the same doping ($p$ = 0.10). This observation is be attributed to the protective role of the outer planes in Hg1223, which results in a more pristine inner plane. We also report data in an ultraclean crystal of YBa$_2$Cu$_3$O$_y$ (YBCO) with full oxygen content $p$ = 0.18, believed to be the cleanest of any cuprate, and find that $\ell$ is not longer than in Hg1223. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal Hall conductivity in the strongest cuprate superconductor: Estimate of the mean free path in the trilayer cuprate HgBa$_2$Ca$_2$Cu$_3$O$_{8 + δ}$ Altangerel, Munkhtuguldur Barthélemy, Quentin Lefrançois, Étienne Baglo, Jordan Mezidi, Manel Grissonnanche, Gaël Vallipuram, Ashvini Campillo, Emma Forget, Anne Colson, Dorothée Liang, Ruixing Bonn, D. A. Hardy, W. N. Proust, Cyril Taillefer, Louis Superconductivity Strongly Correlated Electrons The thermal Hall conductivity of the trilayer cuprate HgBa$_2$Ca$_2$Cu$_3$O$_{8+δ}$ (Hg1223) - the superconductor with the highest critical temperature $T_c$ at ambient pressure - was measured at temperatures down to 2 K for three dopings in the underdoped regime ($p$ = 0.09, 0.10, 0.11). By combining a previously introduced simple model and prior theoretical results, we derive a formula for the inverse mean free path, $1 / \ell$, which allows us to estimate the mean free path of $d$-wave quasiparticles in Hg1223 below $T_c$. We find that $1 / \ell$ grows as $T^3$, in agreement with the theoretical expectation for a clean $d$-wave superconductor. Measurements were also conducted on the single layer mercury-based cuprate HgBa$_2$CuO$_{6+δ}$ (Hg1201), revealing that the mean free path in this compound is roughly half that of its three-layered counterpart at the same doping ($p$ = 0.10). This observation is be attributed to the protective role of the outer planes in Hg1223, which results in a more pristine inner plane. We also report data in an ultraclean crystal of YBa$_2$Cu$_3$O$_y$ (YBCO) with full oxygen content $p$ = 0.18, believed to be the cleanest of any cuprate, and find that $\ell$ is not longer than in Hg1223. |
| title | Thermal Hall conductivity in the strongest cuprate superconductor: Estimate of the mean free path in the trilayer cuprate HgBa$_2$Ca$_2$Cu$_3$O$_{8 + δ}$ |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2504.17623 |