Topological quantization and degeneracy in Josephson-junction arrays

Details Topological quantization and degeneracy in Josephson-junction arrays Topological quantization and degeneracy in Josephson-junction arrays

2001-03-20

arxiv.org/abs/cond-mat/0103401v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.63.212503

We consider the conductivity quantization in two-dimensional arrays of mesoscopic Josephson junctions, and examine the associated degeneracy in various regimes of the system. The filling factor of the system may be controlled by the gate voltage as well as the magnetic field, and its appropriate values for quantization is obtained by employing the Jain hierarchy scheme both in the charge description and in the vortex description. The duality between the two descriptions then suggests the possibility that the system undergoes a change in degeneracy while the quantized conductivity remains fixed.

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