https://doi.org/10.1007/s100510050372
Field theoretical calculation of the specific heat exponent for a classical N-vector model in a random external field
Department of Theoretical Physics,
Indian Association For Cultivation of Science,
Jadavpur, Calcutta 700032, India
Corresponding author: a adutta@hp2.saha.ernet.in
Received:
18
March
1998
Revised:
17
April
1998
Accepted:
21
April
1998
Published online: 15 July 1998
We calculate using diagrammatic perturbation
theory in the two-loop approximation, the specific heat exponent
α for the classical
N-vector model in a random external field for spatial dimension (D) lying
between four and six. The calculation supports the modified
hyperscaling 
, where ν is the correlation
length exponent.
PACS: 75.40.-s – Critical-point effects, specific heats, short-range order / 75.40.Cx – Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
