期刊
JOURNAL OF STATISTICAL PHYSICS
卷 126, 期 4-5, 页码 977-986出版社
SPRINGER
DOI: 10.1007/s10955-006-9156-1
关键词
spin glass; duality; multicritical point
We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function.
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