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Prog. Theor. Phys. Supplement No.157 (2005) pp. 120-123

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Exact Ground-State Energies of the Random-Field Ising Chain and Ladder

Toshiyuki Hamasaki and Hidetoshi Nishimori

Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

Abstract:

We derive the exact ground-state energies of the random-field Ising chain and ladder. The random fields consist of three possible values for the chain model and bimodal fields for the ladder model. The results are piecewise linear as a function of the random-field strength. The zero-temperature transfer matrix method is used to obtain these results.


URL : http://ptp.ipap.jp/link?PTPS/157/120/
DOI : 10.1143/PTPS.157.120

[ Full Text PDF : FREE ACCESS (78K) ] Citation:


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