### Abstract

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 language | English (US) |
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Article number | 174508 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 73 |

Issue number | 17 |

DOIs | |

State | Published - May 22 2006 |

Externally published | Yes |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*73*(17), [174508]. https://doi.org/10.1103/PhysRevB.73.174508