Ginzburg-Landau theory for unconventional surface superconductivity in PtBi$_2$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911240033402880 |
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| author | Waje, Harald Jakubczyk, Fabian Brink, Jeroen van den Timm, Carsten |
| author_facet | Waje, Harald Jakubczyk, Fabian Brink, Jeroen van den Timm, Carsten |
| contents | Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters, which correspond to the three irreducible representations of the point group $C_{3v}$. The irreducible representations $A_1$ and $A_2$ are the most likely. We develop a systematic method to determine the symmetry-allowed terms and apply it to derive all terms up to fourth order in the three order parameters. The Ginzburg--Landau functional also includes coupling to the magnetic field. The functional is employed to determine the effect of an applied uniform magnetic field on the nodal structure for $A_1$ and $A_2$ pairing. The results facilitate clear-cut experimental differentiation between these symmetries. We also predict field-induced helical superconductivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02415 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ginzburg-Landau theory for unconventional surface superconductivity in PtBi$_2$ Waje, Harald Jakubczyk, Fabian Brink, Jeroen van den Timm, Carsten Superconductivity Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters, which correspond to the three irreducible representations of the point group $C_{3v}$. The irreducible representations $A_1$ and $A_2$ are the most likely. We develop a systematic method to determine the symmetry-allowed terms and apply it to derive all terms up to fourth order in the three order parameters. The Ginzburg--Landau functional also includes coupling to the magnetic field. The functional is employed to determine the effect of an applied uniform magnetic field on the nodal structure for $A_1$ and $A_2$ pairing. The results facilitate clear-cut experimental differentiation between these symmetries. We also predict field-induced helical superconductivity. |
| title | Ginzburg-Landau theory for unconventional surface superconductivity in PtBi$_2$ |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2507.02415 |