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arXiv · 1211.2623

Boundary critical phenomena of the random transverse Ising model in D>=2 dimensions

István A. Kovács·Ferenc Iglói
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Abstract

Using the strong disorder renormalization group method we study numerically the critical behavior of the random transverse Ising model at a free surface, at a corner and at an edge in D=2, 3 and 4-dimensional lattices. The surface magnetization exponents are found to be: x_s=1.60(2), 2.65(15) and 3.7(1) in D=2, 3 and 4, respectively, which do not depend on the form of disorder. We have also studied critical magnetization profiles in slab, pyramid and wedge geometries with fixed-free boundary conditions and analyzed their scaling behavior.

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István A. Kovács, Ferenc Iglói. 2013-01-21. Boundary critical phenomena of the random transverse Ising model in D>=2 dimensions. https://doi.org/10.1103/physrevb.87.024204

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