A study of the tunnelling-charging Hamiltonian of a Cooper pair pump

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, one figure, two tables (revised). Flow of text redesigned, the content virtually unchanged

Scientific paper

10.1103/PhysRevB.63.132508

General properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are examined with emphasis on the symmetries of the model. An efficient block-diagonalisation scheme and a compatible Fourier expansion of the eigenstates is constructed and applied in order to gather information on important observables. Systematics of the adiabatic pumping with respect to all of the model parameters are obtained and the link to the geometrical Berry's phase is identified.

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