Lattice renormalization group and the thermodynamic limit
- 1 August 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 16 (3) , 1249-1252
- https://doi.org/10.1103/physrevb.16.1249
Abstract
Recent lattice-renormalization-group calculations have investigated the effect of placing arbitrarily large numbers of spins into blocks, via Monte Carlo numerical methods. These calculations indicate that, in the thermodynamic limit, the fixed point of the recursion relation converges to the exact critical temperature, even though the recursion relations themselves become nonanalytic. It is the purpose of this note to explain why this occurs.Keywords
This publication has 3 references indexed in Scilit:
- Renormalization Group by Monte Carlo MethodsPhysical Review Letters, 1976
- Scaling Theory for Finite-Size Effects in the Critical RegionPhysical Review Letters, 1972
- Bounded and Inhomogeneous Ising Models. I. Specific-Heat Anomaly of a Finite LatticePhysical Review B, 1969