Renormalization-group theory of the Heisenberg model in d dimensions
Özet
© 2022 Elsevier B.V.The classical Heisenberg model has been solved in spatial d dimensions, exactly in d=1 and by the Migdal–Kadanoff approximation in d>1, by using a Fourier–Legendre expansion. The phase transition temperatures, the energy densities, and the specific heats are calculated in arbitrary dimension d. Fisher's exact result is recovered in d=1. The absence of an ordered phase, conventional or algebraic (in contrast to the XY model yielding an algebraically ordered phase) is recovered in d=2. A conventionally ordered phase occurs at d>2. This method opens the way to complex-system calculations with Heisenberg local degrees of freedom.
Bağlantı
http://hdl.handle.net/20.500.12627/186128https://avesis.istanbul.edu.tr/api/publication/0e2a98bf-106b-4ea3-9630-9659c6a1d0de/file
https://doi.org/10.1016/j.physa.2022.128300
Koleksiyonlar
- Makale [2276]