Study on the square-lattice Ising model with self-dual boundary conditions

The exact specific heats of the Ising ferromagnet on L × L square lattices ( L = 3 ~ 16) with self-dual boundary conditions are evaluated using the microcanonical transfer matrix and high-performance massive computing. From the specific heats, we obtain the shift exponent λ = 1.879(9) for the square...

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Bibliographic Details
Published in:Journal of the Korean Physical Society 2014, 65(12), , pp.2009-2012
Main Author: Kim, Seung-Yeon
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Theoretical
물리학
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Summary:The exact specific heats of the Ising ferromagnet on L × L square lattices ( L = 3 ~ 16) with self-dual boundary conditions are evaluated using the microcanonical transfer matrix and high-performance massive computing. From the specific heats, we obtain the shift exponent λ = 1.879(9) for the square-lattice Ising ferromagnet with self-dual boundary conditions in the thermodynamic limit ( L → ∞) for the first time.
ISSN:0374-4884
1976-8524
DOI:10.3938/jkps.65.2009