TY - JOUR
T1 - Boundary critical phenomena of the random transverse Ising model in D≥2 dimensions
AU - Kovács, István A.
AU - Iglói, Ferenc
PY - 2013/1/18
Y1 - 2013/1/18
N2 - 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 two-, three-, and four-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.
AB - 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 two-, three-, and four-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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U2 - 10.1103/PhysRevB.87.024204
DO - 10.1103/PhysRevB.87.024204
M3 - Article
AN - SCOPUS:84872967143
SN - 1098-0121
VL - 87
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 2
M1 - 024204
ER -