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Geometric frustration arises when lattice structure prevents simultaneous minimization of local interactions. It leads to highly degenerate ground states and, subsequently, complex phases of matter such as water ice, spin ice and frustrated…

Soft Condensed Matter · Physics 2008-12-18 Yilong Han , Yair Shokef , Ahmed M. Alsayed , Peter Yunker , Tom C. Lubensky , Arjun G. Yodh

Geometric frustration is a widespread phenomenon in physics, materials science, and biology, occurring when the geometry of a system prevents local interactions from being all accommodated. The resulting manifold of nearly degenerate…

Materials Science · Physics 2025-07-22 Oliver Lin , Zhiheng Lyu , Hsu-Chih Ni , Xiaokang Wang , Yetong Jia , Chu-Yun Hwang , Lehan Yao , Jian-Min Zuo , Qian Chen

Geometrically frustrated magnets provide abundant opportunities for discovering complex spin textures, which sometimes yield unconventional electromagnetic responses in correlated electron systems. It is theoretically predicted that…

Geometric frustration results from a discrepancy between the locally favored arrangement of the constituents of a system and the geometry of the embedding space. Geometric frustration can be either non-cumulative, which implies an extensive…

Soft Condensed Matter · Physics 2022-02-10 Snir Meiri , Efi Efrati

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

Polymer-grafted nanoparticles are versatile building blocks that self-assemble into a rich diversity of mesostructures. Coarse-grained molecular simulations have commonly accompanied experiments by resolving structure formation pathways and…

Soft Condensed Matter · Physics 2025-09-30 Federico Tomazic , Aswathy Muttathukattil , Afshin Nabiyan , Felix Schacher , Michael Engel

In this work we show how to maximize absorption of plasmonic nanoparticles in terms of size, geometry and material. For that reason the interaction of nanoparticles with light was decomposed into different effects. We determined that the…

Optics · Physics 2025-02-07 Matej Bubaš , Jordi Sancho-Parramon

Frustration of long-range order via lattice geometries serves to amplify fluctuations of the order parameter and generate unconventional ground states that are highly sensitive to perturbations. Traditionally, this concept of geometric…

Lasing at the nanometre scale promises strong light-matter interactions and ultrafast operation. Plasmonic resonances supported by metallic nanoparticles have extremely small mode volumes and high field enhancements, making them an ideal…

Mesoscale and Nanoscale Physics · Physics 2017-02-07 T. K. Hakala , H. T. Rekola , A. I. Väkeväinen , J. -P. Martikainen , M. Nečada , A. J. Moilanen , P. Törmä

Based on the ladder dual-fermion approach, we present a comprehensive study of the phases of the isotropic Hubbard model on the triangular lattice. We find a rich phase diagram containing most of the phases that have already been…

Strongly Correlated Electrons · Physics 2014-05-07 Gang Li , Andrey E. Antipov , Alexey N. Rubtsov , Stefan Kirchner , Werner Hanke

Patterning nanomagnets in three-dimensions presents a new paradigm in condensed matter physics and allows access to a plethora of fundamental phenomena including robust spin textures, magnetic metamaterials that are home to defects carrying…

Mesoscale and Nanoscale Physics · Physics 2018-12-07 Andrew May , Matthew Hunt , Arjen Van Den Berg , Alaa Hejazi , Sam Ladak

Surface lattice resonance supported on plasmonic nanoparticle arrays enhances light-matter interactions for applications such as photoluminescence enhancement. The photoluminescence process is enhanced through confining light beyond the…

Optics · Physics 2024-06-14 Joshua T. Y. Tse , Shunsuke Murai , Katsuhisa Tanaka

We present a theoretical investigation of magnetostatic interaction effects in geometrically frustrated arrays of anisotropic multilayer ferromagnetic nanoparticles arranged in different spatially configured systems with triangular…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 V. L. Mironov , E. V. Skorohodov , J. A. Blackman

We present an optical mode solver for a whispering gallery resonator coupled to an adjacent arbitrary shaped nano-particle that breaks the axial symmetry of the resonator. Such a hybrid resonator-nanoparticle is similar to what was recently…

Geometric frustration arises whenever the constituents of a physical assembly locally favor an arrangement that cannot be realized globally. Recently, such frustrated assemblies were shown to exhibit filamentation, size limitation, large…

Soft Condensed Matter · Physics 2021-12-15 Snir Meiri , Efi Efrati

Optical properties of periodic arrays of nanoholes of a triangular shape with experimentally realizable parameters are examined in both linear and nonlinear regimes. Utilizing fully vectorial three-dimensional approach based on the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Elena Drobnyh , Maxim Sukharev

Geometric frustration is a broad phenomenon that results from an intrinsic incompatibility between some fundamental interactions and the underlying lattice geometry1-7. Geometric frustration gives rise to new fundamental phenomena and is…

Materials Science · Physics 2011-10-26 Narayani Choudhury , Laura Walizer , Sergey Lisenkov , L. Bellaiche

We study the impact of geometry on magnetostatically frustrated single-domain nanomagnet arrays. We examine square and hexagonal lattice arrays, as well as a brickwork geometry that combines the anisotropy of the square lattice and the…

Mesoscale and Nanoscale Physics · Physics 2010-03-30 J. Li , X. Ke , S. Zhang , D. Garand , C. Nisoli , P. Lammert , V. H. Crespi , P. Schiffer

Geometric frustration has long been a subject of enduring interest in condensed matter physics. While geometric frustration traditionally focuses on magnetic systems, little attention is paid to the "frustrated superconductivity" which…

Superconductivity · Physics 2025-10-16 Hong-Min Jiang , Wen-Qian Dong , Shun-Li Yu , Z. D. Wang

Non-Hermitian photonics based on combining loss and gain media within a single optical system provides a number of approaches to control and generate the flow of light. In this paper, we show that by introducing non-Hermitian perturbation…

Optics · Physics 2022-11-03 Anton V. Hlushchenko , Denis V. Novitsky , Vladimir R. Tuz
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