Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-04-03
Physical Review B 74 (2006) 224448
Physics
Condensed Matter
Other Condensed Matter
published version; 8 pages, 3 figures
Scientific paper
10.1103/PhysRevB.74.224448
We propose a general mechanism of random-field-induced order (RFIO), in which long-range order is induced by a random field that breaks the continuous symmetry of the model. We particularly focus on the case of the classical ferromagnetic XY model on a 2D lattice, in a uniaxial random field. We prove rigorously that the system has spontaneous magnetization at temperature T=0, and we present strong evidence that this is also the case for small T>0. We discuss generalizations of this mechanism to various classical and quantum systems. In addition, we propose possible realizations of the RFIO mechanism, using ultracold atoms in an optical lattice. Our results shed new light on controversies in existing literature, and open a way to realize RFIO with ultracold atomic systems.
Lewenstein Maciej
Niederberger Armand
Sanchez-Palencia Laurent
Wehr Jan
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