Magnetic phase diagram of cuprates and universal scaling laws
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arXiv
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| Format: | Preprint |
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2025
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| author | Noat, Yves Mauger, Alain Sacks, William |
| author_facet | Noat, Yves Mauger, Alain Sacks, William |
| contents | In this article we consider the magnetic field phase diagram of hole-doped high-$T_c$ cuprates, which has been given much less attention than the temperature diagram. In the framework of the {\it pairon model}, we show that the two characteristic energies, the pair binding energy (the gap $Δ_p$) and the condensation energy ($β_c$) resulting from pair correlations, give rise to two major magnetic fields, the upper critical field $B_{c2}$ and a second field, $B_{pg}$, associated with the pseudogap (PG). The latter implies a second length scale in addition to the coherence length, characteristic of incoherent pairs. Universal scaling laws for both $B_{c2}$ and $B_{pg}$ are derived: $B_{c2}$ scales with the critical temperature, $B_{c2}/T_c\simeq 1.65$ T/K, in agreement with many experiments, and $B_{pg}$ has a similar scaling with respect to $T^*$. Finally, Fermi arcs centered on the nodal directions are predicted to appear as a function of magnetic field, an effect testable experimentally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic phase diagram of cuprates and universal scaling laws Noat, Yves Mauger, Alain Sacks, William Superconductivity Materials Science Strongly Correlated Electrons In this article we consider the magnetic field phase diagram of hole-doped high-$T_c$ cuprates, which has been given much less attention than the temperature diagram. In the framework of the {\it pairon model}, we show that the two characteristic energies, the pair binding energy (the gap $Δ_p$) and the condensation energy ($β_c$) resulting from pair correlations, give rise to two major magnetic fields, the upper critical field $B_{c2}$ and a second field, $B_{pg}$, associated with the pseudogap (PG). The latter implies a second length scale in addition to the coherence length, characteristic of incoherent pairs. Universal scaling laws for both $B_{c2}$ and $B_{pg}$ are derived: $B_{c2}$ scales with the critical temperature, $B_{c2}/T_c\simeq 1.65$ T/K, in agreement with many experiments, and $B_{pg}$ has a similar scaling with respect to $T^*$. Finally, Fermi arcs centered on the nodal directions are predicted to appear as a function of magnetic field, an effect testable experimentally. |
| title | Magnetic phase diagram of cuprates and universal scaling laws |
| topic | Superconductivity Materials Science Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.12889 |