Abstract
Our theoretical study reports on the quantum interference effect expected to be found in the correlated state of the hole-doped electron system in 2D networks of circular molecular orbits, where the ground state of the system is described by a FQHE-like state. When the phase-correlation length λΘ is larger than the incompressibility length λQ, the system of tunneling-coupled 2 FQHE-like states shows the interference of the Josephson effect. On the other hand, when λQ > λΘ, the system shows a dielectric interference effect analogous to the superconductor junction. In the film crystal of a multi-layer structure of FQHE-like systems of low hole-doping, logarithmically cyclic negative-positive change of film capacitance is expected to appear at "anomalous thicknesses" of the film. Comparison of the theoretical results with the interference effect found in the dielectric measurement of film crystals of low-doped La 2 - x Sr x CuO 4 reveals quantitative agreement.
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