Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Critical exponents of the random-field O(N) model.

Journal Article · · Phys. Rev. Lett.
The critical behavior of the random-field Ising model has long been a puzzle. Different methods predict that its critical exponents in D dimensions are the same as in the pure (D-2)-dimensional ferromagnet with the same number of the magnetization components contrary to the experiments and simulations. We calculate the exponents of the random-field O(N) model with the (4+{epsilon})-expansion and obtain values different from the exponents of the pure ferromagnet in 2+{epsilon} dimensions. An infinite set of relevant operators missed in previous studies leads to a breakdown of the (6-{epsilon})-expansion.
Research Organization:
Argonne National Laboratory (ANL)
Sponsoring Organization:
SC; OUS
DOE Contract Number:
AC02-06CH11357
OSTI ID:
949637
Report Number(s):
ANL/MSD/JA-42754
Journal Information:
Phys. Rev. Lett., Journal Name: Phys. Rev. Lett. Journal Issue: Apr. 29, 2002 Vol. 88; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
ENGLISH

Similar Records

Review of Recent Developments in the Random-Field Ising Model
Journal Article · Sun Jul 15 00:00:00 EDT 2018 · Journal of Statistical Physics · OSTI ID:22783817

Hysteresis loop critical exponents in 6[minus][epsilon] dimensions
Journal Article · Sun Nov 07 23:00:00 EST 1993 · Physical Review Letters; (United States) · OSTI ID:5727820

Critical behavior of quantum and classical random systems
Thesis/Dissertation · Thu Dec 31 23:00:00 EST 1981 · OSTI ID:6368728