Vestigial pairing from fluctuating magnetism and triplet superconductivity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911189380890624 |
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| author | Verghis, Yanek Sedov, Denis Weßling, Jakob Poduval, Prathyush P. Scheurer, Mathias S. |
| author_facet | Verghis, Yanek Sedov, Denis Weßling, Jakob Poduval, Prathyush P. Scheurer, Mathias S. |
| contents | We study the finite-temperature vestigial superconducting phases of a two-dimensional system of fluctuating spin-triplet pairing and spin magnetism. Denoting the respective primary order parameters by $\mathbf{d}$ and $\mathbf{N}$, which are not long-range ordered at finite temperature, the composite fields $ϕ_{dd} = \mathbf{d}\cdot\mathbf{d}$ and $ϕ_{dN} = \mathbf{d}\cdot\mathbf{N}$ are spin-rotation invariant and can condense at finite temperature. Using a large-$N$ approach that respects the Mermin-Wagner theorem, we here derive the phase diagram which features two vestigial superconductors: $(A)$ a charge-$4e$ superconductor with $ϕ_{dd}\neq 0$ and $ϕ_{dN} =0$ and $(B)$ a charge-$2e$ state with $ϕ_{dN} ,ϕ_{dd}\neq 0$. We analyze the temperature and coupling-constant dependent properties of these two superconductors using a perturbative approach and a variational Hartree-Fock study. This reveals non-trivial spectra in the superconductors, which result from the fundamental building blocks being distinct from the usual Cooper pairs--in phase $(A)$, the elementary bosons are bound states of four electrons and, in phase $(B)$, of three electrons and a hole. This work complements the previous study [Nat. Commun. 15, 1713 (2024), arXiv:2301.01344], which focused on the properties of phase $(B)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vestigial pairing from fluctuating magnetism and triplet superconductivity Verghis, Yanek Sedov, Denis Weßling, Jakob Poduval, Prathyush P. Scheurer, Mathias S. Superconductivity We study the finite-temperature vestigial superconducting phases of a two-dimensional system of fluctuating spin-triplet pairing and spin magnetism. Denoting the respective primary order parameters by $\mathbf{d}$ and $\mathbf{N}$, which are not long-range ordered at finite temperature, the composite fields $ϕ_{dd} = \mathbf{d}\cdot\mathbf{d}$ and $ϕ_{dN} = \mathbf{d}\cdot\mathbf{N}$ are spin-rotation invariant and can condense at finite temperature. Using a large-$N$ approach that respects the Mermin-Wagner theorem, we here derive the phase diagram which features two vestigial superconductors: $(A)$ a charge-$4e$ superconductor with $ϕ_{dd}\neq 0$ and $ϕ_{dN} =0$ and $(B)$ a charge-$2e$ state with $ϕ_{dN} ,ϕ_{dd}\neq 0$. We analyze the temperature and coupling-constant dependent properties of these two superconductors using a perturbative approach and a variational Hartree-Fock study. This reveals non-trivial spectra in the superconductors, which result from the fundamental building blocks being distinct from the usual Cooper pairs--in phase $(A)$, the elementary bosons are bound states of four electrons and, in phase $(B)$, of three electrons and a hole. This work complements the previous study [Nat. Commun. 15, 1713 (2024), arXiv:2301.01344], which focused on the properties of phase $(B)$. |
| title | Vestigial pairing from fluctuating magnetism and triplet superconductivity |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2510.02474 |