Finite-size effects on the thermal resistivity of He4 in the quasi-two-dimensional geometry

Chongshan Zhang, Kwangsik Nho, D. P. Landau

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The thermal resistivity and its scaling function in quasi-two-dimensional (2D) He4 systems are studied by Monte Carlo and spin-dynamics simulations. We use the classical 3D XY model on L×L×H lattices with L H, applying open boundary conditions along the H direction and periodic boundary conditions along the L directions. A hybrid Monte Carlo algorithm is adopted to efficiently deal with the critical slowing down and to produce initial states for time integration. The fourth-order Suzuki-Trotter decomposition method of exponential operators is used to solve numerically the coupled equations of motion for each spin. The thermal conductivity is calculated by a dynamic current-current correlation function. Our results show that (i) the simulational data collapse onto a single curve for several values of H and temperature, thus supporting the concept of finite-size scaling theory and (ii) the calculated scaling function agrees well with the available experimental results for slabs using two free fitting parameters.

Original languageEnglish (US)
Article number174508
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
StatePublished - May 22 2006
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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