Random Field Induced Order in Low Dimension I
Abstract
Consider the classical XY model in a weak random external field pointing along the Y axis with strength ε. We prove that the model defined on 3 with nearest neighbor coupling exhibits residual magnetic order in the horizontal direction for arbitrarily weak random field strengths and, depending on field strength, sufficiently low temperature.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.