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We explore the effects of geometric frustration within a one-dimensional Bose-Hubbard model using a chain of rhombi subject to a magnetic flux. The competition of tunnelling, self-interaction and magnetic flux gives rise to the emergence of…

Quantum Gases · Physics 2018-11-21 Christine Cartwright , Gabriele De Chiara , Matteo Rizzi

We study the geometrical frustration scenario of glass formation for simple hard sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding of the slowing…

Disordered Systems and Neural Networks · Physics 2015-03-19 Benoit Charbonneau , Patrick Charbonneau , Gilles Tarjus

The resolution of geometric frustration in systems with continuous degrees of freedom often involves a cooperative inhomogeneous response and super-extensive energy scaling. In contrast, the frustration in frustrated Ising-like spin systems…

Soft Condensed Matter · Physics 2022-06-29 Snir Meiri , Efi Efrati

In the context of magnetism, frustration arises when a group of spins cannot find a configuration that minimizes all of their pairwise interactions simultaneously. We consider the effects of the geometric frustration that arises in a…

Statistical Mechanics · Physics 2015-05-19 A. Jagannathan , B. Motz , E. Vedmedenko

We study the frustration properties of the Ising model on several decorated lattices with arbitrary numbers of decorating spins on all bonds of the lattice within an exact analytical approach based on the Kramers--Wannier transfer-matrix…

Statistical Mechanics · Physics 2022-06-22 F. A. Kassan-Ogly , A. V. Zarubin

We investigate the magnetocaloric properties of certain antiferromagnetic spin systems that have already been or very likely can be synthesized as magnetic molecules. It turns out that the special geometric frustration which is present in…

Strongly Correlated Electrons · Physics 2008-07-23 J. Schnack , R. Schmidt , J. Richter

The study of entanglement and magic properties in topologically frustrated systems suggests that, in the thermodynamic limit, these quantities decompose into two distinct contributions. One is determined by the specific nature of the model…

Quantum Physics · Physics 2025-11-07 S. B. Kožić , G. Torre , K. Delić , F. Franchini , S. M. Giampaolo

Geometric frustration, arising from competing interactions that prevent simultaneous energy minimization, presents a fundamental challenge for variational quantum algorithms applied to quantum many-body systems. We investigate the…

Quantum Physics · Physics 2026-04-14 Sandip Maiti

We show by means of a Monte Carlo simulation study that three-dimensional models with long-range frustration display the generic phenomena seen in fragile glassforming liquids. Due to their properties (absence of quenched disorder, physical…

Statistical Mechanics · Physics 2009-11-07 M. Grousson , G. Tarjus , P. Viot

Geometric frustration is recognized to generate complex morphologies in self-assembling particulate and molecular systems. In bulk states, frustrated drives structured arrays of topological defects. In the dilute limit, these systems have…

Soft Condensed Matter · Physics 2025-09-01 Nicholas Hackney , Gregory Grason

Correlations driven by the constraints of local charge conservation have been shown to provide insight into the chemical evolution and diffusivity of the high-temperature matter created in ultra-relativistic heavy ion collisions.…

Nuclear Theory · Physics 2022-05-25 Scott Pratt , Karina Martirosova

We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled…

Probability · Mathematics 2020-04-15 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

Artificially engineered light-matter systems constitute a novel, versatile architecture for the quantum simulation of driven, dissipative phase transitions and non-equilibrium quantum many-body systems. Here, we review recent experimental…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Sebastian Schmidt

The concept of geometrical frustration has led to rich insights into condensed matter physics, especially as a mechansim to produce exotic low energy states of matter. Here we show that frustration provides a natural vehicle to generate…

Statistical Mechanics · Physics 2020-12-17 Paul A. McClarty , Masudul Haque , Arnab Sen , Johannes Richter

Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

Although geometrical frustration transcends scale, it has primarily been evoked in the micro and mesoscopic realm to characterize such phases as spin-ice liquids and glasses and to explain the behavior of such materials as multiferroics,…

Materials Science · Physics 2012-12-19 Paula Mellado , Andres Concha , L. Mahadevan

This paper presents a novel method to describe battery degradation. We use the concept of degradation maps to model the incremental charge capacity loss as a function of discrete battery control actions and state of charge. The maps can be…

Systems and Control · Computer Science 2019-03-19 Philipp Fortenbacher , Göran Andersson

Large scale molecular dynamics simulations of freely decaying turbulence in three-dimensional space are reported. Fluid components are defined from the microscopic states by eliminating thermal components from the coarse-grained fields. The…

Statistical Mechanics · Physics 2014-03-14 Teruhisa S. Komatsu , Shigenori Matsumoto , Takashi Shimada , Nobuyasu Ito

Bundles of filaments are subject to geometric frustration: certain deformations (e.g. bending while twisted) require longitudinal variations in spacing between filaments. While bundles are common -- from protein fibers to yarns -- the…

Soft Condensed Matter · Physics 2021-12-01 Daria W. Atkinson , Christian D. Santangelo , Gregory M. Grason

Imaging the magnetic fields around a non-magnetic impurity can provide a clear benchmark for quantifying the degree of magnetic frustration. Focusing on the strongly frustrated $J_1$-$J_2$ model and the spatially anisotropic…

Strongly Correlated Electrons · Physics 2011-04-28 C. -C. Chen , R. Applegate , B. Moritz , T. P. Devereaux , R. R. P. Singh