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It is shown that coherent scatterings by an ordered vortex lattice arecritically enhanced for quasi particles moving in cyclotron orbits on the Fermisurface through vortex core regions, thus generating significant quasi-periodicoscillating contributions to the SC free energy as a function of the inversemagnetic field. The mean frequency of the oscillation provides a fingerprint ofthe vortex lattice geometry. Vortex-lattice disorder, tends to suppress thisoscillatory component.

Sweeping reciprocal vortex lattice across the Fermi surface: A new magnetoquantum oscillations effect in the superconducting state