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In 1977, G\'erard Toulouse has proposed a new concept termed as "frustration" in spin systems. Using this definition, several frustrated models have been created and studied, among them we can mention the Villain's model, the fully…

统计力学 · 物理学 2025-01-22 Hung T. Diep

Frustration is a ubiquitous phenomenon in many-body physics that influences the nature of the system in a profound way with exotic emergent behavior. Despite its long research history, the analytical or numerical investigations on…

统计力学 · 物理学 2023-12-06 Feng-Feng Song , Tong-Yu Lin , Guang-Ming Zhang

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

强关联电子 · 物理学 2015-05-19 A. Jagannathan

In artificial spin ice systems, an interplay of defects and dipolar interactions is expected to play important roles in stabilizing different collective magnetic states. In this work, we investigated the magnetization reversal of individual…

介观与纳米尺度物理 · 物理学 2021-01-04 Neeti Keswani , Ranveer Singh , Yoshikata Nakajima , Sakthi Kumar , Tapobrata Som , Pintu Das

A hybrid spin-electron system defined on one-dimensional double-tetrahedral chain, in which the localized Ising spin regularly alternates with two mobile electrons delocalized over a triangular plaquette, is exactly solved with the help of…

统计力学 · 物理学 2015-06-23 Lucia Galisova , Jozef Strecka

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…

无序系统与神经网络 · 物理学 2010-12-17 K. Langfeld , M. Quandt , W. Lutz , H. Reinhardt

Ice states, in which frustrated interactions lead to a macroscopic ground-state degeneracy, occur in water ice, in problems of frustrated charge order on the pyrochlore lattice, and in the family of rare-earth magnets collectively known as…

强关联电子 · 物理学 2015-03-19 Nic Shannon , Olga Sikora , Frank Pollmann , Karlo Penc , Peter Fulde

In classical and quantum frustrated magnets the interactions in combination with the lattice structure impede the spins to order in optimal configurations at zero temperature. The theoretical interest in their classical realisations has…

统计力学 · 物理学 2017-02-01 Leticia F. Cugliandolo

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…

软凝聚态物质 · 物理学 2022-02-10 Snir Meiri , Efi Efrati

A density-dependent gauge field may induce density-induced geometric frustration, leading to a non-trivial interplay between density modulation and frustration, which we illustrate for the particular case of ultra-cold bosons in zig-zag…

量子气体 · 物理学 2016-05-04 Tapan Mishra , Sebastian Greschner , Luis Santos

Achieving thermal equilibrium in two-dimensional lattices of interacting nanomagnets has been a key issue on the route to study exotic phases in artificial frustrated magnets. We revisit this issue in artificial one-dimensional kagom\'e…

无序系统与神经网络 · 物理学 2023-10-19 L. Salmon , V. Schánilec , J. Coraux , B. Canals , N. Rougemaille

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…

介观与纳米尺度物理 · 物理学 2026-04-28 Vasil A. Saroka

Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into a partially magnetized state occurs via…

强关联电子 · 物理学 2009-11-11 M. E. Zhitomirsky , H. Tsunetsugu

We report the magnetic and calorimetric measurements in single crystal samples of the square lattice $J_{1}-J_{2}$ quantum antiferromagnet BaCdVO(PO$_4$)$_2$. An investigation of the scaling of magnetization reveals a "dimensionality…

强关联电子 · 物理学 2019-01-14 K. Yu. Povarov , V. K. Bhartiya , Z. Yan , A. Zheludev

The concept of geometrical frustration in condensed matter physics refers to the fact that a system has a locally preferred structure with an energy density lower than the infinite ground state. This notion is however often used in a…

统计力学 · 物理学 2019-12-04 Pierre Ronceray , Bruno Le Floch

Electronic and magnetic properties of molybdenum pyrochlores A2Mo2O7 are studied by the fully relativistic density-functional theory plus on-site repulsion (U) method, with focusing on the spin-glass insulating material Y2Mo2O7. We find…

强关联电子 · 物理学 2013-11-27 Hiroshi Shinaoka , Yukitoshi Motome , Takashi Miyake , Shoji Ishibashi

Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalisation of excitations in three dimensions all stem from a…

The intermetallic compound Nd$_2$Co$_{0.85}$Si$_{2.88}$ having a triangular lattice could be synthesized in single-phase only with defect crystal structure. Investigation through different experimental techniques indicate the presence of…

Dense systems of active matter exhibit highly dynamic collective motion characterized by intermingled vortices, referred to as active turbulence. The interaction between these vortices is key to controlling turbulent dynamics, and a…

软凝聚态物质 · 物理学 2024-08-14 Kazusa Beppu , Kaito Matsuura , Yusuke T. Maeda

Local magnetic ordering in artificial spin ices is discussed from the point of view of how geometrical frustration controls dynamics and the approach to steady state. We discuss the possibility of using a particle picture based on vertex…

统计力学 · 物理学 2010-09-09 Zoe Budrikis , Paolo Politi , R. L. Stamps