Square-Lattice Ising Model in a Weak Uniform Magnetic Field: Renormalization Group Analysis

Authors

Miron Kaufman, Cleveland State UniversityFollow

Document Type

Article

Publication Date

9-1-1987

Publication Title

Physical Review B

Abstract

For the two-dimensional ferromagnetic Ising critical point, I show that the known values of the critical exponents imply the absence of logarithms of the reduced temperature in the leading contributions to any field derivative of the free energy at zero magnetic field. For the square-lattice Ising antiferromagnet in a weak magnetic field, I compute the critical line T_c(H)=T_c⁰(1-0.038 023 259H²) and the leading contribution to the susceptibility χ=0.014 718 006 6H²ln(1/ǁtǁ), where t is the reduced temperature.

Repository Citation

Kaufman, Miron, "Square-Lattice Ising Model in a Weak Uniform Magnetic Field: Renormalization Group Analysis" (1987). Physics Faculty Publications. 110.
https://engagedscholarship.csuohio.edu/sciphysics_facpub/110

Original Citation

Kaufman, Miron. "Square-Lattice Ising Model in a Weak Uniform Magnetic Field: Renormalization Group Analysis." Physical Review B 36 (1987): 3697-3700.

DOI

10.1103/PhysRevB.36.3697

Version

Publisher's PDF

Publisher's Statement

Copyright 1987 American Physical Society. Available on publisher's site at http://link.aps.org/doi/10.1103/PhysRevB.36.3697.

Volume

36

Issue

7