Quantum phase analysis of 1D superconducting quantum dot lattice
using extended Bose-Hubbard model |
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Authors: | M Kumar S Sarkar and S Ramasesha |
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Institution: | (2) Harvard University, Cambridge, USA;(3) University of California, Riverside, USA;(4) Boston University, Boston, USA;; |
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Abstract: | We have obtained the quantum phase diagram of a one-dimensional superconducting
quantum dot lattice using the extended Bose-Hubbard model for different
commensurabilities. We describe the nature of different quantum phases
at the charge degeneracy point. We find a direct phase transition from
the Mott insulating phase to the superconducting phase for integer
band fillings of Cooper pairs. We predict explicitly the presence of two
kinds of repulsive Luttinger liquid phases, besides the charge density wave
and superconducting phases for half-integer band fillings.
We also predict that extended range interactions are necessary to obtain
the correct phase boundary of a one-dimensional interacting Cooper system.
We have used the density matrix renormalization group method and Abelian
bosonization to study our system. |
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Keywords: | |
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