2010/03/10 by Sujit Sarkar
Physics and Astronomy · #Bosonization #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Frustration #Josephson effect #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Quantum phase transition #Quantum phases #Qubit #Superconducting quantum computing #Superconductivity #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.81.212505
published in Physical Review B 81(21) (American Physical Society) · pages 4 +, comments are welcome
arxiv created 2010/03/10 · openalex publication_date 2010/06/25 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.