Domain walls in the 3D random field Ising model

✍ Scribed by E.T. Seppälä; M.J. Alava

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 33 KB
• Volume: 121-122
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/s0010-4655(06)70135-7

✦ Synopsis

Roughening of domain walls in ttu'ee dimensional random field Ising magnets is investigated at zero temperature using exact combinatorial optimization [1]. Systems are studied up to L 3 = 2163 with the largest systems L > 120 calculated using a parallel version of the min-cut/max-flow algorithm [2]. We study both bimodal and Gaussian RF-distributions. The interface roughness exponent ~ is found to be close to 0.75, slightly in excess of analytical estimates [3,4]. The domain wall energy and its fluctuations are studied within the domain wall renormalization group picture. This enables us to compare the energy fluctuation exponent 0 with the in 3D expected scaling relation 2~ = 0.