@article{Willis:2015:10.3389/fphy.2015.00046,
author = {Willis, G and Pruessner, G and Keelan, J},
doi = {10.3389/fphy.2015.00046},
journal = {Frontiers in Physics},
title = {Minimalistic real-space Renormalization of 4x4 Ising and Potts Models in two dimensions},
url = {http://dx.doi.org/10.3389/fphy.2015.00046},
volume = {3},
year = {2015}
}

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TY  - JOUR
AB  - We introduce and discuss a real-space renormalization group (RSRG) procedure on verysmall lattices, which in principle does not require any of the usual approximations, e.g., acut-off in the expansion of the Hamiltonian in powers of the field. The procedure is carriedout numerically on very small lattices (4×4 to 2×2) and implemented for the Ising Modeland the q = 3, 4, 5-state Potts Models. Nevertheless, the resulting estimates of thecorrelation length exponent and the magnetization exponent are typically within 3–7% ofthe exact values. The 4-state Potts Model generates a third magnetic exponent, whichseems to be unknown in the literature. A number of questions about the meaning ofcertain exponents and the procedure itself arise from its use of symmetry principles andits application to the q = 5 Potts Model.
AU  - Willis,G
AU  - Pruessner,G
AU  - Keelan,J
DO  - 10.3389/fphy.2015.00046
PY  - 2015///
SN  - 2296-424X
TI  - Minimalistic real-space Renormalization of 4x4 Ising and Potts Models in two dimensions
T2  - Frontiers in Physics
UR  - http://dx.doi.org/10.3389/fphy.2015.00046
UR  - http://hdl.handle.net/10044/1/24884
VL  - 3
ER  - 

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