Conference paper
Learning Reduced Order Dynamics via Geometric Representations
Imran Nasim, Melanie Weber
SCML 2024
Random fields (or anisotropies) shift the lower critical dimensionality of spin systems from dc0 to dc. For dimensionalities dc0<d<dc at low temperatures T, the magnetization has a discontinuity (from zero to M) when (the average square field) approaches zero. The correlation length diverges as. The structure factor is shown to scale as S(q,)=dS»(q). Simple assumptions on scaling near T=0 yield "=1(dc-d), with dc=4 for continuous symmetry spins and dc=2 for Ising spins. © 1983 The American Physical Society.
Imran Nasim, Melanie Weber
SCML 2024
P. Martensson, R.M. Feenstra
Journal of Vacuum Science and Technology A: Vacuum, Surfaces and Films
M.A. Lutz, R.M. Feenstra, et al.
Surface Science
Ellen J. Yoffa, David Adler
Physical Review B