De Haas--van Alphen effect in the superconducting state of a two-dimensional metal

Journal Article · Thu Oct 01 04:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.8360· OSTI ID:6912050

Maniv, T ^[1]; Rom, A I ^[2]; Vagner, I D ^[3]; Wyder, P ^[4]

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1. Department of Chemistry and Solid State Institute, Technion-Israel Institute of Technology, Haifa 32000 (Israel) Department of Physics Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218 (United States)
2. Department of Chemistry, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
3. Solid State Institute, Technion-Israel Institute of Technology, Haifa 32000 (Israel) Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218 (United States)
4. Max-Planck-Institut fuer Festkoerperforschung, Hochfeld-Magnetlabor, Boite Postale 166, F-38042, Grenoble Cedex 9 (France)

We present a theory of the de Haas--van Alphen (dHvA) effect in the superconducting mixed state within the framework of Gorkov's scheme near [ital H][sub [ital c]2] in a two-dimensional (2D), extremely type-II superconductor. A semiclassical approximation is developed whose results are compared to the exact quantum-mechanical result. A remarkable agreement between the two methods is found even for extremely strong fields and low temperatures, where strong quantum oscillations exist. The method is used to calculate variationally the superconducting free energy to the fourth order in the Gorkov expansion. The resulting variational equation for the order parameter is solved exactly, and the mean-square order parameter over the entire vortex lattice, as well as the superconducting magnetization, is calculated as functions of the magnetic field and the temperature. It is found that, despite significant smearing effects of the collective pairing process which involves many Landau levels, strong quantum oscillations exist in the superconducting order parameter. The calculated superconducting magnetization oscillations are of the same order of magnitude as the normal-electron ones. The envelope of these oscillations is found to decay exponentially with increasing magnetic field. At sufficiently low temperatures the fine structure of the oscillations may reflect the repulsive nature of the interaction between vortex lines. The transition to superconductivity is investigated along, and above, the classical Ginzburg-Landau phase boundary: Reentrance of the superconducting state above [ital H][sub [ital c]2]([ital T]), a dramatic manifestation of the 2D dHvA effect, is found to occur within an experimentally accessible range of fields and temperatures if the cyclotron-effective mass is an integral multiple of the free-electron mass.

• OSTI ID: 6912050
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 46:13; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DE HAAS-VAN ALPHEN EFFECT
HIGH-TC SUPERCONDUCTORS
MAGNETIZATION
ORDER PARAMETERS
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
TYPE-II SUPERCONDUCTORS