Tensor renormalization group: Local magnetizations, correlation functions, and phase diagrams of systems with quenched randomness
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Guven-2010-Tensor renormalizati.pdf
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Author(s)
Guven, Can
Hinczewski, Michael
Berker, A. Nihat
Date Issued
November 2010
Journal
Physical Review E
Publisher
American Physical Society
Citation
Güven, Can, Michael Hinczewski, and A. Nihat Berker. “Tensor Renormalization Group: Local Magnetizations, Correlation Functions, and Phase Diagrams of Systems with Quenched Randomness.” Physical Review E 82.5 (2010) : 051110. © 2010 The American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.82.051110
