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Tensor renormalization group: local magnetizations, correlation functions, and phase diagrams of systems with quenched randomness

Güven, Can and Hinczewski, Michael and Berker, A. Nihat (2010) Tensor renormalization group: local magnetizations, correlation functions, and phase diagrams of systems with quenched randomness. Physical Review E, 82 (5). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.82.051110

Abstract

The tensor renormalization-group method, developed by Levin and Nave, brings systematic improvability to the position-space renormalization-group method and yields essentially exact results for phase diagrams and entire thermodynamic functions. The method, previously used on systems with no quenched randomness, is extended in this study to systems with quenched randomness. Local magnetizations and correlation functions as a function of spin separation are calculated as tensor products subject to renormalization-group transformation. Phase diagrams are extracted from the long-distance behavior of the correlation functions. The approach is illustrated with the quenched bond-diluted Ising model on the triangular lattice. An accurate phase diagram is obtained in temperature and bond-dilution probability for the entire temperature range down to the percolation threshold at zero temperature.

Item Type:Article
Additional Information:Article number: 051110
Subjects:Q Science > QC Physics > QC1 General
ID Code:15106
Deposited By:A. Nihat Berker
Deposited On:09 Nov 2010 12:32
Last Modified:25 May 2011 14:16

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