The Cooper Pair Pump as a Quantized Current SourceReport as inadecuate

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1 NEEL - Institut Néel 2 CQ - Cohérence quantique NEEL - Institut Néel 3 MPQ - Matériaux et Phénomènes Quantiques

Abstract : A new charge quantization in a phase-polarized Cooper Pair Pump CPP is proposed, based on the topological properties of its Hamiltonian ground state over a three-dimensional parameter space $\mathbb{P}$. The charge is quantized using a set of path in $\mathbb{P}$ covering the surface of a torus, and is a multiple of the integer Chern index $c 1$ of this surface. This quantization is asymptotic but the pumped charge converges rapidly to the quantized value with the increase in the path frequency. The topological nature of the current makes this CPP implementation an excellent candidate for a metrological current standard.

keyword : Cooper PAir Pump Chern indices Quantization

Author: Raphaël Leone - Laurent Lévy - Philippe Lafarge -



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