Analytical and numerical study of hardcore bosons in two dimensions

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dc.creatorBernardet, K.
dc.creatorBatrouni, G. G.
dc.creatorMeunier, J. -L.
dc.creatorSchmid, G.
dc.creatorTroyer, M.
dc.creatorDorneich, A.
dc.date2001-10-16
dc.date.accessioned2026-07-07T02:43:10Z
dc.date.available2026-07-07T02:43:10Z
dc.descriptionWe study various properties of bosons in two dimensions interacting only via onsite hardcore repulsion. In particular, we use the lattice spin-wave approximation to calculate the ground state energy, the density, the condensate density and the superfluid density in terms of the chemical potential. We also calculate the excitation spectrum, $ω({\bf k})$. In addition, we performed high precision numerical simulations using the stochastic series expansion algorithm. We find that the spin-wave results describe extremely well the numerical results over the {\it whole} density range $0\leq ρ\leq 1$. We also compare the lattice spin-wave results with continuum results obtained by summing the ladder diagrams at low density. We find that for $ρ\leq 0.1$ there is good agreement, and that the difference between the two methods vanishes as $ρ^2$ for $ρ\to 0$. This offers the possibility of obtaining precise continuum results by taking the continuum limit of the spin-wave results for all densities. Finaly, we studied numerically the finite temperature phase transition for the entire density range and compared with low density predictions.
dc.description10 pages, 8 figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/0110314
dc.identifierhttp://arxiv.org/abs/cond-mat/0110314
dc.identifierPhys. Rev. B 65, 104519 (2002)
dc.identifierdoi:10.1103/PhysRevB.65.104519
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18389
dc.subjectSuperconductivity
dc.subjectStatistical Mechanics
dc.titleAnalytical and numerical study of hardcore bosons in two dimensions
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