Path-integral simulation of the superfluid transition in two-dimensional He4

D. M. Ceperley, E. L. Pollock

Research output: Contribution to journalArticlepeer-review


The superfluid transition in a two-dimensional He4 system has been studied using computational-path-integral methods. Thermodynamic and structural properties, the single-particle momentum distribution, the one-particle off-diagonal density matrix (or order-parameter correlation function), the momentum correlations, the superfluid density (based on the winding-number distribution) and the vorticity correlation function were calculated for temperatures above and below the superfluid transition for a film density of 0.0432 A-2 (which corresponds to zero pressure in the ground state). The order-parameter correlation function shows an algebraic decay in good agreement with spin-wave theory. An indirect estimate based on an analysis of finite-size effects using the Kosterlitz-Thouless recursion relations leads to a vortex diameter of 3.70.4 A, a vortex core energy of 2.70.2 K and a critical temperature of 0.720.02 K.

Original languageEnglish (US)
Pages (from-to)2084-2093
Number of pages10
JournalPhysical Review B
Issue number4
StatePublished - 1989

ASJC Scopus subject areas

  • Condensed Matter Physics


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