Scinovex
article Open AccessTop 10% cited

Corner Transfer Matrix Renormalization Group Method

Journal of the Physical Society of Japan · 1996 · Vol. 65(4) · pp. 891–894
Tomotoshi NishinoKouichi Okunishi

Abstract

We propose a new fast numerical renormalization group method,the corner transfer matrix renormalization group (CTMRG) method, which is based on a unified scheme of Baxter's corner transfer matrix method and White's density matrix renormalization groupmethod. The key point is that a product of four corner transfer matrices gives the densitymatrix. We formulate the CTMRG method as a renormalization of 2D classical models.

Physics of Superconductivity and MagnetismTheoretical and Computational PhysicsAdvanced Condensed Matter PhysicsDensity matrix renormalization groupRenormalization groupRenormalizationMatrix (chemical analysis)Transfer matrixFunctional renormalization groupPhysicsTransfer (computing)Infrared fixed pointMathematical physics
Citations
455
FWCI
4.07
field-weighted impact
References
24
Percentile
94%
vs. same field & year
Citations per year
Cited by
The density-matrix renormalization group
Reviews of Modern Physics · 2005 · 3,280 citations
References
The renormalization group and the ε expansion
Physics Reports · 1974 · 5,005 citations
On the product of semi-groups of operators
Proceedings of the American Mathematical Society · 1959 · 2,029 citations
Density-matrix algorithms for quantum renormalization groups
Physical review. B, Condensed matter · 1993 · 3,197 citations
Density matrix formulation for quantum renormalization groups
Physical Review Letters · 1992 · 7,586 citations
The Algebraic Eigenvalue Problem
Mathematics of Computation · 1966 · 5,208 citations
Citation Network

How this paper connects to the literature. Drag to explore, click any node to open that paper.