1205.1338 (Andrei A. Fedorenko)

Random field and random anisotropy O(N) spin systems with a free surface    [PDF]

Andrei A. Fedorenko

We study the surface scaling behavior of a semi-infinite $d$-dimensional O(N) spin system in the presence of quenched random field and random anisotropy disorders. It is known that above the lower critical dimension $d_{\mathrm{lc}}=4$ the infinite models undergo a paramagnetic-ferromagnetic transition for $N>N_c$ ($N_c=2.835$ for random field and $N_c=9.441$ for random anisotropy). For $Nd_{\mathrm{lc}}$ and the long-range behavior of spin correlations near the surface in the quasi-long-range ordered phase for $dView original: http://arxiv.org/abs/1205.1338