Size effects in the electronic properties of finite arrays of exchange-coupled quantum dots

J. X. Wang, S. Kais, F. Remade, Rafi D. Levine

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Transport properties of arrays of metallic quantum dots are governed by the distance-dependent exchange coupling between the dots. It is shown that the effective value of the exchange coupling, as measured by the charging energy per dot, depends monotonically on the size of the array. The effect saturates for hexagonal arrays of over 75 unit cells. The discussion uses a multistage block renormalization group approach applied to the Hubbard Hamiltonian. A first-order phase transition occurs upon compression of the lattice, and the size dependence is qualitatively different for the two phases.

Original languageEnglish
Pages (from-to)12847-12850
Number of pages4
JournalJournal of Physical Chemistry B
Issue number50
Publication statusPublished - 19 Dec 2002
Externally publishedYes


ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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