Ordered and Disordered Electron States in a Quantum Dot Array

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  • 19 November 2001
Abstract
Charge ordering and hopping dynamics of electrons on the triangular 2D array of quantum dots is studied by a mapping onto a classical Ising problem with long range antiferromagnetic interactions. A number of phases arises due to interplay between frustration in a triangular array geometry and the long-range character of Coulomb interaction. We identify a novel correlated fluid phase that exists in a range of densities and at not too low temperatures. Ordering in this phase is described in terms of a height field variable and unbound dislocations. We demonstrate a relation between the dynamical response (conductivity) and ordering in the charged system. At low temperature the system freezes into a commensurate phase (solid). At the densities n=1/3, 2/3 and n=1/2, freezing occurs via a first order phase transition.

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