# Solid-On-Solid interfaces with disordered pinning

@article{Lacoin2020SolidOnSolidIW, title={Solid-On-Solid interfaces with disordered pinning}, author={H. Lacoin}, journal={arXiv: Probability}, year={2020} }

We investigate the localization transition for a simple model of interface which interacts with an inhomonegeous defect plane. The interface is modeled by the graph of a function $\phi: \mathbb Z^2 \to \mathbb Z$, the disorder being given by a fixed realization of a field of IID centered random variables $(\omega_x)_{x\in \mathbb Z^2}$. The Hamiltonian of the system is given by the expression $$\mathcal H(\phi):= \beta\sum_{x\sim y} |\phi(x)-\phi(y)|- \sum_{x} (\alpha\omega_x+h){\bf 1}_{\{\phi… CONTINUE READING

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 50 REFERENCES

Wetting and layering for Solid-on-Solid II: Layering transitions, Gibbs states, and regularity of the free energy

- Physics, Mathematics
- 2017

- 3
- PDF

Wetting and Layering for Solid-on-Solid I: Identification of the Wetting Point and Critical Behavior

- Physics, Mathematics
- 2018

- 6
- PDF

Disorder and wetting transition: The pinned harmonic crystal in dimension three or larger

- Physics, Mathematics
- 2016

- 6
- PDF