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.

Ground state properties of the one-dimensional Coulomb gas using the lattice regularized diffusion Monte Carlo method / Casula, Michele; Sorella, Sandro; Senatore, Gaetano. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 74:24(2006), pp. 1-15. [10.1103/PhysRevB.74.245427]

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

Sorella, Sandro;
2006-01-01

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.
2006
74
24
1
15
245427
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.74.245427
https://arxiv.org/abs/cond-mat/0607130
Casula, Michele; Sorella, Sandro; Senatore, Gaetano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13505
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