Abstract
For the SOS model defined by the Hamiltonian\(H(\phi ) = \frac{1}{2}\sum\nolimits_{\left\langle {x,x'} \right\rangle } {\left| {\phi _x - \phi _{x'} } \right| + h\sum\nolimits_x {\phi _x } } \), whereφ x ,φ x′ ,∈{1,2,...},h>0,x∈ℤd,d⩾2 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.
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Dinaburg, E.I., Mazel, A.E. Layering transition in SOS model with external magnetic field. J Stat Phys 74, 533–563 (1994). https://doi.org/10.1007/BF02188570
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DOI: https://doi.org/10.1007/BF02188570