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For a model of a driven interface in an elastic medium with random obstacles we prove existence of a stationary positive supersolution at non-vanishing driving force. This shows the emergence of a rate independent hysteresis through the…

Analysis of PDEs · Mathematics 2012-01-24 Patrick W. Dondl , Michael Scheutzow , Sebastian Throm

Contours associated to many interesting low-temperature statistical mechanics models (2D Ising model, (2+1)D SOS interface model, etc) can be described as self-interacting and self-avoiding walks on $\mathbb Z^2$. When the model is defined…

Probability · Mathematics 2015-06-22 Dmitry Ioffe , Senya Shlosman , Fabio Lucio Toninelli

Dobrushin (1972) showed that the interface of a 3D Ising model with minus boundary conditions above the $xy$-plane and plus below is rigid (has $O(1)$-fluctuations) at every sufficiently low temperature. Since then, basic features of this…

Probability · Mathematics 2020-04-13 Reza Gheissari , Eyal Lubetzky

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn

We introduce an enriched immersed finite element method for addressing interface problems characterized by general non-homogeneous jump conditions. Unlike many existing unfitted mesh methods, our approach incorporates a homogenization…

Numerical Analysis · Mathematics 2025-05-07 Ruchi Guo , Xu Zhang

Chemical interface damping is a change in the effective collision frequency of conduction band electrons in metal originating from a chemical change of the metal interface. In this work, we present in-situ ellipsometric measurements that…

Materials Science · Physics 2024-09-12 Maurice Pfeiffer , Xinyan Wu , Fatemeh Ebrahimi , Nadiia Mameka , Manfred Eich , Alexander Petrov

The interface structure of Fe/MgO(100) magnetic tunnel junctions predicted by density functional theory (DFT) depends significantly on the choice of exchange and correlation functional. Bader analysis reveals that structures obtained by…

Materials Science · Physics 2015-05-13 Xiaobing Feng , O. Bengone , M. Alouani , S. Lebégue , I. Rungger , S. Sanvito

Conventional wisdom holds that, in the simplest time-reversal-symmetric setting, strongly coupling two QSH layers yields a trivial $\mathbb Z_2$ phase and no protected topological edge states. We demonstrate that, in a regime with…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Mengjie Yang , Ching Hua Lee

We investigate the possibility to control dynamically the interactions between repulsively bound pairs of fermions (doublons) in correlated systems with off-resonant ac fields. We introduce an effective Hamiltonian that describes the…

Strongly Correlated Electrons · Physics 2020-12-08 V. N. Valmispild , C. Dutreix , M. Eckstein , M. I. Katsnelson , A. I. Lichtenstein , E. A. Stepanov

We investigate excluded-volume effects in a bidisperse colloidal suspension near a flexible interface. Inspired by a recent experiment by Dinsmore et al. (Phys. Rev, Lett. 80, 409 (1998)), we study the adsorption of a mesoscopic bead on the…

Soft Condensed Matter · Physics 2009-11-10 Thomas Bickel

The unbinding properties of an interface near structured wedges are investigated by discrete models with short range interactions. The calculations demonstrate that interface unbinding take place in two stages: $i$) a continuous…

Statistical Mechanics · Physics 2009-11-11 Gilberto Giugliarelli

We describe a simple nearest-neighbor Ising model that is capable of supporting a gas, liquid, crystal, in characteristic relationship to each other. As the parameters of the model are varied one obtains characteristic patterns of phase…

Statistical Mechanics · Physics 2009-11-10 Davide Cellai , Hector Cuevas , Aonghus Lawlor , Gavin D. McCullagh , Kenneth A. Dawson

We derive a connection between the intrinsic tribological properties and the electronic properties of a solid interface. In particular, we show that the adhesion and frictional forces are dictated by the electronic charge redistribution…

Other Condensed Matter · Physics 2018-07-17 M. Wolloch , G. Levita , P. Restuccia , M. C. Righi

Interfaces in phase-separated driven liquids are one example of how energy input at the single-particle level changes the long-length-scale material properties of nonequilibrium systems. Here, we measure interfacial fluctuations in…

Statistical Mechanics · Physics 2019-03-27 Clara del Junco , Suriyanarayanan Vaikuntanathan

We consider the equilibrium statistical properties of interfaces submitted to competing interactions; a long-range repulsive Coulomb interaction inherent to the charged interface and a short-range, anisotropic, attractive one due to either…

Statistical Mechanics · Physics 2009-11-07 Sofian Teber

An imposed chemical potential gradient $A_\uparrow=d\mu_\uparrow/dx$ on a single fermionic species ("spin up") directly produces a gradient in the density $d\rho_\uparrow/dx$ across a lattice. We study here the induced density inhomogeneity…

Quantum Gases · Physics 2017-10-03 G. George Batrouni , Richard T. Scalettar

We consider random translation-invariant frustration-free quantum spin Hamiltonians on $\mathbb Z^D$ in which the nearest-neighbor interaction in every direction is randomly sampled and then distributed across the lattice. Our main result…

Quantum Physics · Physics 2022-09-07 Ian Jauslin , Marius Lemm

Particles embedded in a fluctuating interface experience forces and torques mediated by the deformations and by the thermal fluctuations of the medium. Considering a system of two cylinders bound to a fluid membrane we show that the…

Soft Condensed Matter · Physics 2011-05-31 Pierre Gosselin , Hervé Mohrbach , Martin Michael Müller

Depinning of an interface from a random self--affine substrate with roughness exponent $\zeta_S$ is studied in systems with short--range interactions. In 2$D$ transfer matrix results show that for $\zeta_S<1/2$ depinning falls in the…

Condensed Matter · Physics 2009-10-28 G. Giugliarelli , A. L. Stella

We have utilized the finite-difference approach to explore electron-tunneling properties in gapped graphene through various electrostatic-potential barriers changing from Gaussian to a triangular envelope function in comparison with a…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma