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Lowest Landau level approximation in strongly type-II superconductors

1999/02/22 by Dingping Li, B. Rosenstein, Baruch Rosenstein · 1 citation
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.60.9704

published as Phy. Rev. B, Volume 60, Issue 13, 9704 (1999). · 20 pages, Latex file, three figures

arxiv created 1999/02/22 · openalex publication_date 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Higher than the lowest Landau level, (LLL) contributions to magnetization and specific heat of superconductors are calculated using the Ginzburg-Landau equation approach. Corrections to the excitation spectrum around the solution of these equations (treated perturbatively) are found. Due to symmetries of the problem leading to numerous cancellations the range of validity of the LLL approximation in the mean field is much wider then a naive range and extends all the way down to H=Hc2(T)/13. Moreover, the contribution of higher Landau levels (HLL) is significantly smaller compared to LLL than expected naively. Like the LLL part, the lattice excitation spectrum at small quasimomenta is softer than that of the usual acoustic phonons. This enhances the effect of fluctuations. The mean-field calculation extends to third order, while the fluctuation contribution due to HLL is to one loop. This complements the earlier calculation of the LLL part to two-loop order.

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