Spin-size disorder model for granular superconductors with charging effects

Details Spin-size disorder model for granular superconductors with charging effects Spin-size disorder model for granular superconductors with charging effects

2009-07-17

arxiv.org/abs/0907.3120v1

Physica B 404, 2916 (2009)

Physics

Condensed Matter

Superconductivity

4 pages, 2 figures

Scientific paper

10.1016/j.physb.2009.07.034

A quantum pseudo-spin model with random spin sizes is introduced to study the effects of charging-energy disorder on the superconducting transition in granular superconducting materials. Charging-energy effects result from the small electrical capacitance of the grains when the Coulomb charging energy is comparable to the Josephson coupling energy. In the pseudo-spin model, randomness in the spin size is argued to arise from the inhomogeneous grain-size distribution. For a particular bimodal spin-size distribution, the model describes percolating granular superconductors. A mean-field theory is developed to obtain the phase diagram as a function of temperature, average charging energy and disorder.

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