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The graph-theoretic topological frustration is a peculiar situation on a finite piece of the honeycomb lattice that prevents a full pairwise coupling of the lattice sites via nearest neighbor links, even when the total number of sites is an…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Vasil A. Saroka

This perspective will overview an emerging paradigm for self-organized soft materials, {\it geometrically-frustrated assemblies}, where interactions between self-assembling elements (e.g. particles, macromolecules, proteins) favor local…

Soft Condensed Matter · Physics 2016-09-20 Gregory M. Grason

The interplay between Kondo effect, indirect magnetic interaction and geometrical frustration is studied in the Kondo lattice on the one-dimensional zigzag ladder. Using the density-matrix renormalization group (DMRG), the ground state and…

Strongly Correlated Electrons · Physics 2018-03-14 Matthias Peschke , Roman Rausch , Michael Potthoff

Geometric frustration in quantum magnetism refers to that magnetic interactions on different bonds cannot be simultaneously minimized. The usual Cooper pairing systems favor the uniform distribution of the pairing phase among lattice sites…

Superconductivity · Physics 2011-04-13 Hsiang-hsuan Hung , Wei-Cheng Lee , Congjun Wu

The formation of coplanar spin spirals is a common motif in the magnetic ordering of many frustrated magnets. For classical antiferromagnets, geometric frustration can lead to a massively degenerate ground state manifold of spirals whose…

Strongly Correlated Electrons · Physics 2017-08-31 Jan Attig , Simon Trebst

Geometric frustration can significantly increase the complexity and richness of many-body physics and, for instance, suppress antiferromagnetic order in quantum magnets. Here, we employ ultracold bosonic $^{39}$K atoms in a triangular…

Geometric frustration is a fundamental concept in various areas of physics, and its role in self-assembly processes has recently been recognized as a source of intricate self-limited structures. Here we present an analytic theory of the…

Soft Condensed Matter · Physics 2025-01-30 Nan Cheng , Kai Sun , Xiaoming Mao

We discuss a model scenario for multiferroic systems of type II (collinear spins) where the electric dipolar order competes with a frustrated magnetic order in determining the elastic distortions of the lattice ion positions. High magnetic…

Strongly Correlated Electrons · Physics 2022-03-14 D. C. Cabra , A. O. Dobry , C. J. Gazza , G. L. Rossini

Geometric effects in curvilinear nanomagnets can enable chiral, anisotropic and even magnetoelectric responses. Here, we study the effects of magnetic frustration in curvilinear (quasi-)1D magnets represented by spin chains arranged along…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Oleksandr V. Pylypovskyi , Enrico Di Benedetto , Carmine Ortix , Denys Makarov

Phase inhomogeneity of otherwise chemically homogenous electronic systems is an essential ingredient leading to fascinating functional properties, such as high-$T_c$ superconductivity in cuprates, colossal magnetoresistance in manganites,…

Strongly Correlated Electrons · Physics 2014-01-30 Andrej Zorko , Othon Adamopoulos , Matej Komelj , Denis Arćon , Alexandros Lappas

We computationally study the frustrated magnetic configurations of a thin soft magnetic layer with the boundary condition fixed by underlying hard magnets. Driven by geometrical constraints and external magnetic field, transitions between…

Other Condensed Matter · Physics 2007-06-01 Hemachander Subramanian , J. E. Han

Spin textures with nontrivial topology, such as vortices and skyrmions, have attracted attention as a source of unconventional magnetic, transport, and optical phenomena. Recently, a new generation of topological spin textures has been…

Strongly Correlated Electrons · Physics 2021-11-08 Satoru Hayami , Yukitoshi Motome

The emergence of complex electronic behaviour from simple ingredients has resulted in the discovery of numerous states of matter. Many examples are found in systems exhibiting geometric magnetic frustration, which prevents simultaneous…

Materials Science · Physics 2013-03-29 John P. Sheckelton , James R. Neilson , Daniel G. Soltan , Tyrel M. McQueen

We consider the effect of geometric frustration induced by the random distribution of loop lengths in the "fat" graphs of the dynamical triangulations model on coupled antiferromagnets. While the influence of such connectivity disorder is…

Disordered Systems and Neural Networks · Physics 2008-11-26 Martin Weigel , Des Johnston

We develop a novel method based in the sparse random graph to account the interplay between geometric frustration and disorder in cluster magnetism. Our theory allows to introduce the cluster network connectivity as a controllable…

Statistical Mechanics · Physics 2021-05-12 Alexandre Silveira , R. Erichsen , S. G. Magalhaes

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

In this paper, the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice in an external magnetic field are investigated, taking into account the exchange interactions of atomic spins at the sites of…

Statistical Mechanics · Physics 2023-03-22 A. V. Zarubin , F. A. Kassan-Ogly

Traditional frustration arises from the conflict between the spin alignments due to the geometry or the nature of the interactions. Here, we demonstrate a novel form of frustration, dubbed ``emergent frustration'', which is induced by the…

Strongly Correlated Electrons · Physics 2025-04-21 Zehui Deng , Lu Liu , Wenan Guo , Hai-Qing Lin

The geometric arrangement of interacting (magnetic) dipoles is a question of fundamental importance in physics, chemistry and engineering. Motivated by recent progress concerning the self-assembly of magnetic structures, the equilibrium…

Soft Condensed Matter · Physics 2015-06-22 Johannes Schönke , Tobias M. Schneider , Ingo Rehberg

During recent years the interest to frustrated magnets has grown considerably. Such systems reveal very peculiar properties which distinguish them from standard paramagnets, magnetically ordered regular systems (like ferro-, ferri-, and…

Strongly Correlated Electrons · Physics 2015-06-16 A. A. Zvyagin