Springer LINK: The European Physical Journal B - Abstract Volume 4 Issue 2 (1998) pp 219-221

The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

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Abstract Volume 4 Issue 2 (1998) pp 219-221

Field theoretical calculation of the specific heat exponent for a classical N-vector model in a random external field

K. Ghosh (a), A. Dutta (b), J.K. Bhattacharjee

Department of Theoretical Physics, Indian Association For Cultivation of Science, Jadavpur, Calcutta 700032, India

Received: 18 March 1998 / Revised: 17 April 1998 / Accepted: 21 April 1998

Abstract: We calculate using diagrammatic perturbation theory in the two-loop approximation, the specific heat exponent $\alpha$ 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 $(D - 2)\nu = 2 - \alpha$, where $\nu$ 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.)

(a) Permanent address: Deparment of Physics, University of Massachusetts, Amherst, MA 01003, USA
(b) Permanent address: Saha Institute of Nuclear Physics, Salt Lake, Calcutta 700064, India; email: adutta@hp2.saha.ernet.in

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