dorsal/arxiv
View SchemaGinzburg-Landau-Gor'kov Theory of Magnetic oscillations in a type-II 2-dimensional Superconductor
| Authors | G. M. Bruun, V. N. Nicopoulos, N. F. Johnson |
|---|---|
| Categories | |
| ArXiv ID | supr-con/9608004 |
| URL | https://arxiv.org/abs/supr-con/9608004 |
| DOI | 10.1103/PhysRevB.56.809 |
| Journal | PHYS REV B 56: (2) 809-825 JUL 1 1997 |
Abstract
We investigate de Haas-van Alphen (dHvA) oscillations in the mixed state of a type-II two-dimensional superconductor within a self-consistent Gor'kov perturbation scheme. Assuming that the order parameter forms a vortex lattice we can calculate the expansion coefficients exactly to any order. We have tested the results of the perturbation theory to fourth and eight order against an exact numerical solution of the corresponding Bogoliubov-de Gennes equations. The perturbation theory is found to describe the onset of superconductivity well close to the transition point $H_{c2}$. Contrary to earlier calculations by other authors we do not find that the perturbative scheme predicts any maximum of the dHvA-oscillations below $H_{c2}$. Instead we obtain a substantial damping of the magnetic oscillations in the mixed state as compared to the normal state. We have examined the effect of an oscillatory chemical potential due to particle conservation and the effect of a finite Zeeman splitting. Furthermore we have investigated the recently debated issue of a possibility of a sign change of the fundamental harmonic of the magnetic oscillations. Our theory is compared with experiment and we have found good agreement.
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"abstract": "We investigate de Haas-van Alphen (dHvA) oscillations in the mixed state of a\ntype-II two-dimensional superconductor within a self-consistent Gor\u0027kov\nperturbation scheme. Assuming that the order parameter forms a vortex lattice\nwe can calculate the expansion coefficients exactly to any order. We have\ntested the results of the perturbation theory to fourth and eight order against\nan exact numerical solution of the corresponding Bogoliubov-de Gennes\nequations. The perturbation theory is found to describe the onset of\nsuperconductivity well close to the transition point $H_{c2}$. Contrary to\nearlier calculations by other authors we do not find that the perturbative\nscheme predicts any maximum of the dHvA-oscillations below $H_{c2}$. Instead we\nobtain a substantial damping of the magnetic oscillations in the mixed state as\ncompared to the normal state. We have examined the effect of an oscillatory\nchemical potential due to particle conservation and the effect of a finite\nZeeman splitting. Furthermore we have investigated the recently debated issue\nof a possibility of a sign change of the fundamental harmonic of the magnetic\noscillations. Our theory is compared with experiment and we have found good\nagreement.",
"arxiv_id": "supr-con/9608004",
"authors": [
"G. M. Bruun",
"V. N. Nicopoulos",
"N. F. Johnson"
],
"categories": [
"supr-con",
"cond-mat.supr-con"
],
"doi": "10.1103/PhysRevB.56.809",
"journal_ref": "PHYS REV B 56: (2) 809-825 JUL 1 1997",
"title": "Ginzburg-Landau-Gor\u0027kov Theory of Magnetic oscillations in a type-II 2-dimensional Superconductor",
"url": "https://arxiv.org/abs/supr-con/9608004"
},
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