Critical temperature of Heisenberg models on regular trees, via random loops
Abstract
We estimate the critical temperature of a family of quantum spin systems on regular trees of large degree. The systems include the spin-12 XXZ model and the spin-1 nematic model. Our formula is conjectured to be valid for large-dimensional cubic lattices. Our method of proof uses a probabilistic representation in terms of random loops.
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.