Show simple item record

dc.contributor.authorAstrakharchik, Grigori
dc.contributor.authorGirardeau, M.D.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear
dc.identifier.citationAstrakharchik, G.; Girardeau, M. Exact ground-state properties of a one-dimensional Coulomb gas. "Physical review B, condensed matter and materials physics", 15 Abril 2011, vol. 83, núm. 15, p. 1-4.
dc.description.abstractThe ground-state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground-state wave function which permits solution of the Fermi sign problem in the following respects: (i) the nodal surface is known, permitting exact calculations; and (ii) evaluation of determinants is avoided, reducing the numerical complexity to that of a bosonic system and, thus, allowing simulation of a large number of fermions. Due to the mapping, the energy and local properties in one-dimensional Coulomb systems are exactly the same for Bose-Einstein and Fermi-Dirac statistics. The exact ground-state energy is calculated in homogeneous and trapped geometries using the diffusion Monte Carlo method. We show that in the low-density Wigner crystal limit an elementary low-lying excitation is a plasmon, which is to be contrasted with the high-density ideal Fermi gas/Tonks-Girardeau limit, where low-lying excitations are phonons. Exact density profiles are compared to the ones calculated within the local density approximation, which predicts a change from a semicircular to an inverted parabolic shape of the density profile as the value of the charge is increased.
dc.format.extent4 p.
dc.subjectÀrees temàtiques de la UPC::Física::Física de fluids::Física de gasos
dc.subject.lcshCoulomb gas
dc.titleExact ground-state properties of a one-dimensional Coulomb gas
dc.subject.lemacNanotecnologia -- Investigació
dc.subject.lemacGasos de Coulomb
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - Grup de Recerca de Simulació per Ordinador en Matèria Condensada
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
upcommons.citation.authorAstrakharchik, G.; Girardeau, M.
upcommons.citation.publicationNamePhysical review B, condensed matter and materials physics

Files in this item


This item appears in the following Collection(s)

Show simple item record

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder