The role of the pseudogap in cuprate superconductors revealed by the Hall effect
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917947214135296 |
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| author | Anjos, Júlia C. Santana, Hércules de Mello, E. V. L. |
| author_facet | Anjos, Júlia C. Santana, Hércules de Mello, E. V. L. |
| contents | Cuprate high-temperature superconductors are known to have a normal-state pseudogap but, after many years of intense research, its relation to the superconductivity is still a mystery. Similarly, the in-plane Hall coefficient $R_{\rm H}$ has a large temperature variation caused by changes in the carrier density which is also a long-standing puzzle. We approach both problems by a kinetic theory of phase separation that reproduces the charge density wave by a free energy array of potential wells. The charge modulation favors local hole-hole attraction yielding local superconducting pairs and a transition by long-range phase order at $T_{\rm c}$. As the temperature increases the modulations decrease and the charge density increases by thermal activation. This approach reproduces the $R_{\rm H}$ of La$_{2-x}$Sr$_x$CuO$_4$ compounds of $x = 0.0 - 0.25$ and clarifies the role of the pseudogap and the disorder in cuprates. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_05213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The role of the pseudogap in cuprate superconductors revealed by the Hall effect Anjos, Júlia C. Santana, Hércules de Mello, E. V. L. Superconductivity Cuprate high-temperature superconductors are known to have a normal-state pseudogap but, after many years of intense research, its relation to the superconductivity is still a mystery. Similarly, the in-plane Hall coefficient $R_{\rm H}$ has a large temperature variation caused by changes in the carrier density which is also a long-standing puzzle. We approach both problems by a kinetic theory of phase separation that reproduces the charge density wave by a free energy array of potential wells. The charge modulation favors local hole-hole attraction yielding local superconducting pairs and a transition by long-range phase order at $T_{\rm c}$. As the temperature increases the modulations decrease and the charge density increases by thermal activation. This approach reproduces the $R_{\rm H}$ of La$_{2-x}$Sr$_x$CuO$_4$ compounds of $x = 0.0 - 0.25$ and clarifies the role of the pseudogap and the disorder in cuprates. |
| title | The role of the pseudogap in cuprate superconductors revealed by the Hall effect |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2401.05213 |