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Layering transition in SOS model with external magnetic field
Authors:Efim I Dinaburg  Alexander E Mazel
Institution:(1) Schmidt Institute of Earth Physics, Russian Academy of Sciences, 123810 Moscow, Russia;(2) Centre de Physique Théorique, CNRS-Luminy-Case907, F-13288 Marseille Cedex 9, France;(3) International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, 113556 Moscow, Russia
Abstract:For the SOS model defined by the Hamiltonian 
$$H(\phi ) = \frac{1}{2}\sum\nolimits_{\left\langle {x,x'} \right\rangle } {\left| {\phi _x  - \phi _{x'} } \right| + h\sum\nolimits_x {\phi _x } } $$
, wherephgr x ,phgr xprime ,isin{1,2,...},h>0,xisinZopf d ,dges2 it is shown that in the low-temperature region an infinite sequence of first-order phase transitions takes place whenh»0 and the temperature is fixed.
Keywords:SOS model  layering transition  entropic repulsion  cluster expansion  dominant ground states
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