Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-10-20
Physics
Condensed Matter
Statistical Mechanics
12 pages, REVTEX, submitted to J. Math. Phys
Scientific paper
The paper presents new method for calculating the low-temperature asymptotics of free energy of the 3D Ising model in external magnetic field $(H\neq 0)$. The results obtained are valid in the wide range of temperature and magnetic field values fulfilling the condition: $[1-\tanh(h/2)]\sim\epsilon,$ for $\epsilon\ll 1$, where $h=\beta H$, $\beta$ - the inverse temperature and $H$ - external magnetic field. For this purpose the method of transfer-matrix, and generalized Jordan-Wigner transformations, in the form introduced by the author in $\cite{mkoch95}$, are applied.
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