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Corner Transfer Matrix Renormalization Group Method
Journal of the Physical Society of Japan · 1996 · Vol. 65(4) · pp. 891–894
Tomotoshi Nishino✉(Tohoku University)Kouichi Okunishi(Osaka University)
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
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455
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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
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
Physical Review · 1944 · 6,364 citations
The Algebraic Eigenvalue Problem
Mathematics of Computation · 1966 · 5,208 citations
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