Ground state non-universality in the random field Ising model

Abstract

Two attractive and often used ideas, namely universality and the concept of a zero temperature fixed point, are violated in the infinite-range random-field Ising model. In the ground state we show that the exponents can depend continuously on the disorder and so are non-universal. However, we also show that at finite temperature the thermal order parameter exponent one half is restored so that temperature is a relevant variable. The broader implications of these results are discussed.

4 pages 2 figures, corrected prefactors caused by a missing factor of two in Eq. 2., added a paragraph in conclusions for clarity

References in corpus (2)

• The 3-d Random Field Ising Model at zero temperature
• Scaling of the Random-Field Ising Model at Zero Temperature

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