Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917947368275968 |
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| author | Anjos, Júlia C. Santana, Hércules S. de Mello, E. V. L. |
| author_facet | Anjos, Júlia C. Santana, Hércules S. de Mello, E. V. L. |
| contents | Measurements of the Hall coefficient in La$_{2-x}$Sr$_x$CuO$_4$, ranging from the undoped ($x = p = 0$) Mott insulator to overdoped compounds, exhibit a temperature dependence that offers insights into their electronic structure. We interpret these results using a model based on the theory of phase-separation (PS) dynamics, which begins at half-filled ($n = 1$) and at a temperature $T_{\rm PS}(p)$, near the pseudogap temperature $T^*(p)$. The $n = 1$ holes have low mobility and provide the modulations of the charge density waves (CDW). As doping increases from $p = 0$, these modulations guide the additional p holes to occupy alternating CDW domains. This charge inhomogeneity may facilitate the formation of localized superconducting amplitudes below the critical onset temperature $T_{\rm c}^{\rm max}(p)$. Using thermal activation expressions, along with quantum tunnelling between the charge domains, we successfully reproduce all Hall coefficient measurements $R_{\rm H}(p,T)$ and highlight the relevant energies of cuprates. The calculations confirm three significant electronic features: the phase-separating role of the pseudogap temperature, the superconducting state achieved through phase coherence,
and the two types of charge carriers whose energies and mobilities become comparable at $p \approx 0.19$, where
$T^*(p) \approx T_{\rm c}^{\rm max}(p)$. This results in a crossover from $n = p$ to $n = 1 + p$. These findings, along with the
$R_{\rm H}(p,T)$ calculations from insulating to overdoped compounds, underscore the critical role of the electronic
phase separation in the properties of cuprates. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_04955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors Anjos, Júlia C. Santana, Hércules S. de Mello, E. V. L. Superconductivity Measurements of the Hall coefficient in La$_{2-x}$Sr$_x$CuO$_4$, ranging from the undoped ($x = p = 0$) Mott insulator to overdoped compounds, exhibit a temperature dependence that offers insights into their electronic structure. We interpret these results using a model based on the theory of phase-separation (PS) dynamics, which begins at half-filled ($n = 1$) and at a temperature $T_{\rm PS}(p)$, near the pseudogap temperature $T^*(p)$. The $n = 1$ holes have low mobility and provide the modulations of the charge density waves (CDW). As doping increases from $p = 0$, these modulations guide the additional p holes to occupy alternating CDW domains. This charge inhomogeneity may facilitate the formation of localized superconducting amplitudes below the critical onset temperature $T_{\rm c}^{\rm max}(p)$. Using thermal activation expressions, along with quantum tunnelling between the charge domains, we successfully reproduce all Hall coefficient measurements $R_{\rm H}(p,T)$ and highlight the relevant energies of cuprates. The calculations confirm three significant electronic features: the phase-separating role of the pseudogap temperature, the superconducting state achieved through phase coherence, and the two types of charge carriers whose energies and mobilities become comparable at $p \approx 0.19$, where $T^*(p) \approx T_{\rm c}^{\rm max}(p)$. This results in a crossover from $n = p$ to $n = 1 + p$. These findings, along with the $R_{\rm H}(p,T)$ calculations from insulating to overdoped compounds, underscore the critical role of the electronic phase separation in the properties of cuprates. |
| title | Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2503.04955 |