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Exact ground-state properties of a one-dimensional Coulomb gas
dc.contributor.author | Astrakharchik, Grigori |
dc.contributor.author | Girardeau, M.D. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear |
dc.date.accessioned | 2011-08-23T11:30:39Z |
dc.date.available | 2011-08-23T11:30:39Z |
dc.date.created | 2011-04-15 |
dc.date.issued | 2011-04-15 |
dc.identifier.citation | Astrakharchik, 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.identifier.issn | 1098-0121 |
dc.identifier.uri | http://hdl.handle.net/2117/13097 |
dc.description.abstract | The 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.extent | 4 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Física::Física de fluids::Física de gasos |
dc.subject.lcsh | Coulomb gas |
dc.subject.lcsh | Nanotechnology--Research |
dc.title | Exact ground-state properties of a one-dimensional Coulomb gas |
dc.type | Article |
dc.subject.lemac | Nanotecnologia -- Investigació |
dc.subject.lemac | Gasos de Coulomb |
dc.contributor.group | Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity |
dc.identifier.doi | 10.1103/PhysRevB.83.153303 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://prb.aps.org/abstract/PRB/v83/i15/e153303 |
dc.rights.access | Open Access |
local.identifier.drac | 5837634 |
dc.description.version | Postprint (published version) |
local.citation.author | Astrakharchik, G.; Girardeau, M. |
local.citation.publicationName | Physical review B, condensed matter and materials physics |
local.citation.volume | 83 |
local.citation.number | 15 |
local.citation.startingPage | 1 |
local.citation.endingPage | 4 |
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