Modulated phases in magnetic models frustrated by long-range interactions

Erik Nielsen, R. N. Bhatt, David A. Huse

Published 2007-10-06Version 1

We study an Ising model in one dimension with short range ferromagnetic and long range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and down domains whose size varies continuously with H, between -H_c and H_c which represent the edge of the ferromagnetic up and down phases. The implications of long range interaction in many body systems are discussed.