Abstract
The critical-point exponent for a critical point of order in dimensions less than , is calculated to leading nonvanishing order in the parameter . The result is given for -component isotropically interacting magnetic systems. For Ising systems, , the result is . As increases, the coefficient of rapidly becomes very small, varying as for large. In the limit of large , for odd order points approaches a constant and, for even order points, is proportional to .
- Received 24 December 1974
DOI:https://doi.org/10.1103/PhysRevB.11.4579
©1975 American Physical Society