Two-dimensional Ising model in random magnetic fields

DOI to cite this document:: 10.5283/epub.16092

Morgenstern, Ingo ; Binder, K.

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Date of publication of this fulltext: 09 Aug 2010 12:00

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Abstract

The statistical mechanics of finite L×L Ising square lattices in a field ±h of random sign is investigated numerically by a modified recursive transfer matrix method for 6<~L<~16. Our results are consistent with the absence of a spontaneous magnetization for h≠0 even in the ground state. The singularities occurring at T=0 in the range 0<~h<~4J, J being the exchange constant, are discussed in ...