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

Kovács, István and Iglói, Ferenc (2013) Boundary critical phenomena of the random transverse Ising model in D ≥ 2 dimensions. PHYSICAL REVIEW B, 87 (2). ISSN 2469-9950

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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: xs = 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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