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Ground state properties of the one-dimensional Coulomb gas using the lattice regularized diffusion Monte Carlo method (Articolo in rivista)

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Ground state properties of the one-dimensional Coulomb gas using the lattice regularized diffusion Monte Carlo method (Articolo in rivista) (literal)

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Casula, M; Sorella, S; Senatore, G (2006)
Ground state properties of the one-dimensional Coulomb gas using the lattice regularized diffusion Monte Carlo method
in Physical review. B, Condensed matter and materials physics; American Physical Society (APS), College Pk (Stati Uniti d'America)
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Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St, Urbana, Illinois 61801, USA INFM Democritos National Simulation Center, Trieste, Italy International School for Advanced Studies (SISSA) Via Beirut 2,4 34014 Trieste, Italy Dipartimento di Fisica Teorica dell' Università di Trieste, Strada Costiera 11, 34014 Trieste, Italy (literal)

Titolo

Ground state properties of the one-dimensional Coulomb gas using the lattice regularized diffusion Monte Carlo method (literal)

Abstract

We study the ground state properties of a quasi-one-dimensional electron gas interacting via an effective potential with a harmonic transversal confinement and long-range Coulomb tail. The exact correlation energy has been calculated for a wide range of electron densities by using the lattice regularized diffusion Monte Carlo method, which is a recent development of the standard projection Monte Carlo technique. In this case it is particularly useful as it allows one to sample the exact ground state of the system, even in the low-density regime when the exchange between electrons is extremely small. For different values of the width parameter b (0.1 a(0)(*)<= b <= 4 a(0)(*)), we give a simple parametrization of the correlation energy, which provides an accurate local density energy functional for quasi-one-dimensional systems. Moreover, we show that static correlations are in qualitative agreement with those obtained for the Luttinger liquid model with long-range interactions. (literal)

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