Quantum phase transition in an array of coupled superconducting quantum dots with charge frustration

Sujit Sarkar

doi:10.1103/PhysRevB.81.212505

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Quantum phase transition in an array of coupled superconducting quantum dots with charge frustration

Sujit Sarkar

DOI 10.1103/PhysRevB.81.212505 · Physical Review B

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Abstract

The quantum phase transition in two capacitively coupled arrays of superconducting quantum dots (SQD) by considering the presence of gate voltage in each superconducting island is presented. We show explicitly that the cotunneling process associated with two coupled SQD arrays, near the maximum-charge frustration line is not sufficient to explain the correct quantum phases with physically consistent phase boundaries. We consider an extra cotunneling process along each chain to explain the correct quantum phases with physically consistent phase boundaries. There is no evidence of supersolid phase in our study. The Bethe ansatz and Abelian bosonization method is used to solve the problem.