A Remark on the Low-Temperature Behavior of the SOS Interface in Half-Space
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چکیده
We investigate the low-temperature phase diagram of the d-dimensional (d~> 2) solid-on-solid (SOS) interface constrained to lie above a rigid wall to which it is attracted by a constant force. We prove uniqueness of the Gibbs state and exponentially fast convergence (in the diameter of the domain) of the finitevolume expectation of local observables, for all values of parameters where uniqueness in the class of translation-periodic limit Gibbs states was established previously. These domains of uniqueness are bordered by lines on which the system undergoes a layering transition.
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تاریخ انتشار 2005