Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

Renormalization group calculation of critical exponent of correlation length in Ising lattice on a cylinder

T. Kotowski, Maciej Suffczynski

Published Apr 1, 1987• 1 citation
Publisher
DOI
10.1016/0375-9601(87)90651-7

Related papers

Extrapolated renormalization group calculation of surface tension critical exponent in Ising model

T Kotowski, Maciej Suffczynski

A real-space renormalization-group calculation of critical exponent of correlation length and surface tension of the square-lattice nearest-neighbor ferromagnetic Ising model is extended to the cluster size b = 6. The extension allows a more reliable extrapolation for large cluster sizes. Values of the approximate critical exponent are obtained nearer to the exact value.

Physica Scripta•Mar 1, 1988•2 citations

The critical index for the correlation length in the three-dimensional Ising model

I. P. Yukhnovskii, Mykhailo P. Kozlovskii

SPhD•Oct 1, 1977•0 citations

Renormalization group calculation of correlation functions of general Ising hamiltonians

K. Subbarao

Physics Letters A•Nov 1, 1976•2 citations

Renormalization-group study of the ferromagnetic Ising model on the triangular lattice

Chris Unger

The dynamic real-space renormalization group of Mazenko and Valls is applied to the zero-field ferromagnetic Ising model on the triangular lattice. Renormalization equations valid for all temperatures above the critical temperature ${T}_{c}$ are derived for the susceptibility, specific heat, structure factor, and correlation length. The magnetization is found for $T<{T}_{c}$. The critical exponents and amplitudes for these quantities are calculated. The agreement between the known static properties and the renormalization-group results is good to excellent, and shows that this renormalization-group method can accurately calculate nonuniversal, as well as universal, quantities on different lattices. The computed dynamic structure factor, however, exhibits nonmonotonic behavior as a function of temperature. This nonmonotonic behavior is conjectured to be due to approximations in determining the expansion parameters.

Physical review. B, Condensed matter•Aug 1, 1984•0 citations

Correlation Function of the Two-Dimensional Ising Model on a Finite Lattice: II

A. I. Bugriĭ, O. Lisovyy

Theoretical and Mathematical Physics•Jun 25, 2004•43 citations

Exact Renormalization Group Treatment of the 2D Non Self-Dual Ising Lattices

Tuncer Kaya

In this work, an exact renormalization group treatment of honeycomb lattice leading to an exact relation between the coupling strengths of the honeycomb and the triangular lattices is presented. Using the honeycomb and the triangular duality relation, the critical coupling values of honeycomb and triangular lattices are calculated exactly by the simultaneous solution of the renormalized relation and the duality relation, without using the so-called star-triangular transformation. Apparently, the obtained coupling relation is unique. It, not only takes place the role of the star triangular relation, but also it is the only exact relation obtained from renormalization group theory other than the 1D Ising chain. An exact pair correlation functions expression relating the nearest neighbors and the next nearest neighbor correlation functions are also obtained for the honeycomb lattice. Utilizing this correlation relation, an exact expression of the correlation length of the honeycomb lattice is calculated analytically for the coupling constant values less than the critical value in the realm of the scaling theory. The critical exponents $ν$ and $α$ are also calculated as $ν=1$ and $α=0$.

arXiv:1910.05521•Oct 12, 2019•0 citations
The dynamic real-space renormalization group of Mazenko and Valls is applied to the zero-field ferromagnetic Ising model on the triangular lattice. Renormalization equations valid for all temperatures above the critical temperature Tc{T}_{c}Tc​ are derived for the susceptibility, specific heat, structure factor, and correlation length. The magnetization is found for T<TcT<{T}_{c}T<Tc​. The critical exponents and amplitudes for these quantities are calculated. The agreement between the known static properties and the renormalization-group results is good to excellent, and shows that this renormalization-group method can accurately calculate nonuniversal, as well as universal, quantities on different lattices. The computed dynamic structure factor, however, exhibits nonmonotonic behavior as a function of temperature. This nonmonotonic behavior is conjectured to be due to approximations in determining the expansion parameters.
In this work, an exact renormalization group treatment of honeycomb lattice leading to an exact relation between the coupling strengths of the honeycomb and the triangular lattices is presented. Using the honeycomb and the triangular duality relation, the critical coupling values of honeycomb and triangular lattices are calculated exactly by the simultaneous solution of the renormalized relation and the duality relation, without using the so-called star-triangular transformation. Apparently, the obtained coupling relation is unique. It, not only takes place the role of the star triangular relation, but also it is the only exact relation obtained from renormalization group theory other than the 1D Ising chain. An exact pair correlation functions expression relating the nearest neighbors and the next nearest neighbor correlation functions are also obtained for the honeycomb lattice. Utilizing this correlation relation, an exact expression of the correlation length of the honeycomb lattice is calculated analytically for the coupling constant values less than the critical value in the realm of the scaling theory. The critical exponents ννν and ααα are also calculated as ν=1ν=1ν=1 and α=0α=0α=0.