Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model

Details Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model

2011-03-17

arxiv.org/abs/1103.3347v2

Physics

Condensed Matter

Statistical Mechanics

32 pages, including copies of a draft paper almost certainly by Onsager and Kaufman Minor additions and corrections in second

Scientific paper

Lars Onsager announced in 1949 that he and Bruria Kaufman had proved a simple formula for the spontaneous magnetization of the square-lattice Ising model, but did not publish their derivation. It was three years later when C. N. Yang published a derivation in Physical Review. In 1971 Onsager gave some clues to his and Kaufman's method, and there are copies of their correspondence in 1950 now available on the Web and elsewhere. Here we review how the calculation appears to have developed, and add a copy of a draft paper, almost certainly by Onsager and Kaufman, that obtains the result.

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