Work

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

Year: 2010

Type: article

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.

Source: Physical Review E

DOI: 10.1103/physreve.82.051110

Authors: Can Güven, Michael Hinczewski, A. Nihat Berker

Institutions: Koç University, University of Maryland, College Park, Feza Gürsey Institute, Sabancı Üniversitesi, Massachusetts Institute of Technology

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Alexander von Humboldt-Stiftung, Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

OpenAlex ID: W2065000556

FWCI:

Cites: 29

Cited by: 5

Related to: 10