Path Integral Ground State study of 2D solid 4He

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dc.creatorVitali, E.
dc.creatorRossi, M.
dc.creatorTramonto, F.
dc.creatorGalli, D. E.
dc.creatorReatto, L.
dc.date2008-01-11
dc.date2008-02-01
dc.date.accessioned2026-07-07T08:57:25Z
dc.date.available2026-07-07T08:57:25Z
dc.descriptionWe have studied a two-dimensional triangular commensurate crystal of 4He with the exact T=0 K Path Integral Ground State (PIGS) Monte Carlo method. We have projected onto the true ground state both a Jastrow-Nosanow wave function, in which equilibrium positions are explicitly given and no Bose-Einstein (BEC) is present, and a translationally invariant shadow wave function, in which the solid phase emerges through a spontaneously broken symmetry process and it has BEC. We find a remarkable convergence to the same properties, both the diagonal ones as well as the off-diagonal one-body density matrix rho_1. This supplies a strong evidence that no variational bias are present in the PIGS method. We find no BEC in the commensurate 2D 4He crystal at T=0 K, rho_1 shows an exponential decay in the large distance range. The structure found in rho_1 is due to virtual vacancy--interstitial pairs and this shows up in the momentum distribution.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0801.1753
dc.identifierhttp://arxiv.org/abs/0801.1753
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146961
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.titlePath Integral Ground State study of 2D solid 4He
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