Lattice Green's function approach to the solution of the spectrum of an array of quantum dots and its linear conductance

Details Lattice Green's function approach to the solution of the spectrum of an array of quantum dots and its linear conductance Lattice Green's function approach to the solution of the spectrum of an array of quantum dots and its linear conductance

2009-01-12

arxiv.org/abs/0901.1523v1

Physical Review B 79, 035107 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.79.035107

In this paper we derive general relations for the band-structure of an array of quantum dots and compute its transport properties when connected to two perfect leads. The exact lattice Green's functions for the perfect array and with an attached adatom are derived. The expressions for the linear conductance for the perfect array as well as for the array with a defect are presented. The calculations are illustrated for a dot made of three atoms. The results derived here are also the starting point to include the effect of electron-electron and electron-phonon interactions on the transport properties of quantum dot arrays. Different derivations of the exact lattice Green's functions are discussed.

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