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Physical review. B, Condensed matter

Fixed-phase quantum Monte Carlo method applied to interacting electrons in a quantum dot

F. Bolton

Published Aug 15, 1996• 67 citations
Publisher

Abstract

A system of N=2--4 interacting electrons in a quantum dot, with applied magnetic field, is treated using a quantum Monte Carlo method. The standard fixed-node Monte Carlo approach is modified to facilitate the inclusion of a magnetic field giving rise to a fixed-phase approximation which is introduced here. By making use of this approximation, results whose accuracy is comparable to that of exact diagonalization can be obtained. A simple set of coordinates for the four-particle problem is also used which facilitates finding a symmetrized basis. \textcopyright{} 1996 The American Physical Society.

DOI
10.1103/physrevb.54.4780

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A system of N=2--4 interacting electrons in a quantum dot, with applied magnetic field, is treated using a quantum Monte Carlo method. The standard fixed-node Monte Carlo approach is modified to facilitate the inclusion of a magnetic field giving rise to a fixed-phase approximation which is introduced here. By making use of this approximation, results whose accuracy is comparable to that of exact diagonalization can be obtained. A simple set of coordinates for the four-particle problem is also used which facilitates finding a symmetrized basis. \textcopyright{} 1996 The American Physical Society.
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