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19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

Showing 2006 · math-phShow all

5 papers · 2 filters

math-ph2006★ 1 cited

Correlations of a bound interface over a random substrate

Joël De Coninck, François Dunlop, Thierry Huillet

The correlation function of a one-dimensional interface over a random substrate, bound to the substrate by a pressure term, is studied by Monte-Carlo simulation. It is found that t…

math-ph2006★ 14 cited

First-Order Phase Transition in Potts Models with finite-range interactions

Thierry Gobron, Immacolata Merola

We consider the -state Potts model on , , , with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order…

math-ph2006★ 4 cited

Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics

Christian Hainzl, Mathieu Lewin, Eric Sere

The Bogoliubov-Dirac-Fock (BDF) model is the mean-field approximation of no-photon Quantum Electrodynamics. The present paper is devoted to the study of the minimization of the BDF…

math-ph2006★ 13 cited

Persistence of Anderson localization in Schrödinger operators with decaying random potentials

Alexander Figotin, François Germinet, Abel Klein +1

We show persistence of both Anderson and dynamical localization in Schrödinger operators with non-positive (attractive) random decaying potential. We consider an Anderson-type Schr…

math-ph2006★ 15 cited

Higher spin vertex models with domain wall boundary conditions

A Caradoc, O Foda, N Kitanine

We derive determinant expressions for the partition functions of spin-k/2 vertex models on a finite square lattice with domain wall boundary conditions.