A real-space renormalisation group for the triangular lattice
- 20 June 1981
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 14 (17), L473-L477
- https://doi.org/10.1088/0022-3719/14/17/002
Abstract
The author extends the real-space renormalisation group approach of Reynolds, Klein and Stanley (1977) to the triangular lattice using a three-bond cluster as an elementary cluster. His results for the bond-percolation and Ising fixed points show considerable improvement over those of the decimation results of Yeomans and Stinchcombe (1979) and agree with the exact values to within 11% error.Keywords
This publication has 11 references indexed in Scilit:
- Approximate critical surface of the bond-mixed square-lattice Ising modelPhysical Review B, 1980
- Renormalisation group attemts to obtain the transition line of the square-lattice bond-dilute Ising modelJournal of Physics C: Solid State Physics, 1980
- Probability renormalisation group treatment of bond percolation in square, cubic and hypercubic latticesJournal of Physics C: Solid State Physics, 1980
- A large-cell renormalisation group calculation of the percolation conduction critical exponentJournal of Physics C: Solid State Physics, 1979
- Real-space renormalisation in the percolation problemJournal of Physics C: Solid State Physics, 1979
- A renormalisation group approach for the mixed Ising modelJournal of Physics C: Solid State Physics, 1979
- Real-space renormalisation group: application to site percolation in square latticesJournal of Physics C: Solid State Physics, 1979
- Real-space renormalization of bond-disordered conductance latticesPhysical Review B, 1978
- A real-space renormalization group for site and bond percolationJournal of Physics C: Solid State Physics, 1977
- An introduction to the fundamentals of the renormalization group in critical phenomenaPhysics Reports, 1977