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The information theoretic observables entropy (a measure of disorder), excess entropy (a measure of complexity) and multi information are used to analyze ground-state spin configurations for disordered and frustrated model systems in 2D and…

Disordered Systems and Neural Networks · Physics 2013-05-30 O. Melchert , A. K. Hartmann

We explore the physics of highly frustrated magnets in confined geometries, focusing on the Coulomb phase of pyrochlore spin ices. As a specific example, we investigate thin films of nearest-neighbor spin ice, using a combination of…

Strongly Correlated Electrons · Physics 2018-05-29 Étienne Lantagne-Hurtubise , Jeffrey G. Rau , Michel J. P. Gingras

We review the interplay of frustration and strong electronic correlations in quasi-two-dimensional organic charge transfer salts, such as k-(BEDT-TTF)_2X and Et_nMe_{4-n}Pn[Pd(dmit)2]2. These two forces drive a range of exotic phases…

Strongly Correlated Electrons · Physics 2011-05-06 B. J. Powell , Ross H. McKenzie

The study of frustrated spin systems often requires time-consuming numerical simulations. As the simplest approach, the classical Ising model is often used to investigate the thermodynamic behavior of such systems. Exploiting the small…

Statistical Mechanics · Physics 2013-05-30 Bilin Zhuang , Courtney Lannert

The properties of the ground state of one of the simplest models of frustrated magnetic systems, a dilute Ising chain in a magnetic field, are considered for all values of the concentration of charged non-magnetic impurities. An analytical…

Statistical Mechanics · Physics 2024-01-23 Yury Panov

The extended model of two-leg Ising spin ladder with trimer rungs and next nearest neighbor interaction (NNN) in an external magnetic field is studied using the transfer matrix and linear renormalization group methods. In the standard…

Statistical Mechanics · Physics 2022-02-03 Jozef Sznajd

The frustrated Ising model on a two-dimensional lattice with open boundary conditions is revisited. A hidden Z2 gauge symmetry relates models with different frustrations which, however, share the same partition function. By means of a…

Disordered Systems and Neural Networks · Physics 2010-12-17 K. Langfeld , M. Quandt , W. Lutz , H. Reinhardt

The phase transitions and critical properties of two types of inhomogeneous systems are reviewed. In one case, the local critical behaviour results from the particular shape of the system. Here scale-invariant forms like wedges or cones are…

Statistical Mechanics · Physics 2009-10-22 F. Iglói , I. Peschel , L. Turban

A class of models with self-generated disorder and controlled frustration is studied. Between the trivial case, where frustration is not present at all, and the limit case, where frustration is present over every length scale, a region with…

Disordered Systems and Neural Networks · Physics 2009-11-10 Annalisa Fierro

We present theory of two-dimensional turbulence excited by an external force in thin fluid films on scales larger than the film thickness. The principal feature of two-dimensional turbulence is the tendency of producing motions of larger…

Fluid Dynamics · Physics 2024-03-07 Igor V. Kolokolov , Vladimir V. Lebedev

We present a new variational approach to the study of phase transitions in frustrated 2D XY models. In the spirit of Villain's approach for the ferromagnetic case we divide thermal excitations into a low temperature long wavelength part…

Condensed Matter · Physics 2009-10-28 M. Benakli , H. Zheng , M. Gabay

Solid-state dewetting is the process by which thin solid films break up and retract on a substrate, forming nanostructures. While dewetting of single-crystalline films is understood as a surface-energy-driven process mediated by surface…

Materials Science · Physics 2026-02-25 Paul Hoffrogge , Nils Becker , Daniel Schneider , Britta Nestler , Axel Voigt , Marco Salvalaglio

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

We investigate the behavior of genuine multipartite entanglement of paradigmatic frustrated quantum spin systems. We consider six different spin models, whose frustration ranges from being very high to very low. We find that the highly…

Quantum Physics · Physics 2014-01-17 Lavisha Jindal , Ameya Deepak Rane , Himadri Shekhar Dhar , Aditi Sen De , Ujjwal Sen

The irreversible growth of a magnetic film with spins having two possible orientations is studied in three-dimensional confined geometries of size $L\times L\times M$, where $M\gg L$ is the growing direction. A competing situation with two…

Condensed Matter · Physics 2009-11-07 Julián Candia , Ezequiel V. Albano

Properties of magnetic films are studied in the framework of Ising models. In particular, we discuss critical phenomena of ferromagnetic Ising films with straight lines of magnetic adatoms and straight steps on the surface as well as phase…

Condensed Matter · Physics 2009-11-07 W. Selke , M. Pleimling , I. Peschel , M. Kaulke , M. -C. Chung , D. Catrein

This review article examines the complex dynamics of thin-film flows of granular suspensions spreading over rigid solid substrates with free air interfaces. Such systems feature an involved coupling of the free-surface dynamics with the…

Soft Condensed Matter · Physics 2025-10-14 Alice Pelosse , Elisabeth Guazzelli , Matthieu Roché

A confined incompressible elastic film does not deform uniformly when subjected to adhesive interfacial stresses but with undulations which have a characteristic wavelength scaling linearly with the thickness of the film. In the classical…

Soft Condensed Matter · Physics 2009-11-11 Animangsu Ghatak

A plethora of two-dimensional (2D) materials entered the physics and engineering scene in the last two decades. Their robust, membrane-like sheet permit -- mostly require -- deposition, giving rise to solid-solid dry interfaces whose bodily…

Materials Science · Physics 2023-06-01 Jin Wang , Ali Khosravi , Andrea Vanossi , Erio Tosatti

Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Per Nordblad