Topological quantization and degeneracy in Josephson-junction arrays

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