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We study the emergence of magnetism and its interplay with structural properties in a two dimensional molecular crystal of cyclacenes, using density functional theory (DFT). Isolated cyclacenes with an even number of fused benzenes host two…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 R. Ortiz , J. C. Sancho-García , J. Fernández-Rossier

A general three-dimensional noncommutative quantum mechanical system mixing spatial and spin degrees of freedom is proposed. The analogous of the harmonic oscillator in this description contains a magnetic dipole interaction and the ground…

High Energy Physics - Theory · Physics 2009-10-06 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , P. A. G. Pisani

The magnetic ordering due to the long range dipole coupling in an ensemble of magnetic islands is investigated. If the islands are large enough and closely separated, the average dipole energy per island can explain the magnitude of the…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. J. Jensen , G. M. Pastor

Physical properties of DyB$_4$ have been studied by magnetization, specific heat, and ultrasonic measurements. The magnetic entropy change and the ultrasonic properties in the intermediate phase II indicate that the degeneracy of internal…

Strongly Correlated Electrons · Physics 2009-11-11 Ryuta Watanuki , Gou Sato , Kazuya Suzuki , Masaki Ishihara , Tatsuya Yanagisawa , Yuichi Nemoto , Terutaka Goto

The magnetic relaxation processes in disordered two-dimensional ensembles of dipole-coupled magnetic nanoparticles are theoretically investigated by performing numerical simulations. The energy landscape of the system is explored by…

Materials Science · Physics 2009-11-13 G. M. Pastor , P. J. Jensen

Geometric frustration usually arises in systems that comprise magnetic moments (spins) which reside on the sites of a lattice made up of elementary triangular or tetrahedral units and which interact via antiferromagnetic nearest-neighbor…

Statistical Mechanics · Physics 2009-03-17 Michel J. P. Gingras

Dimensionality is a critical factor in determining the properties of solids and is an apparent built-in character of the crystal structure. However, it can be an emergent and tunable property in geometrically frustrated spin systems. Here,…

By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the…

Strongly Correlated Electrons · Physics 2009-11-11 R. Schmidt , J. Richter , J. Schnack

Magnetism in bare uncapped gold nano-clusters is explored from a density functional theory perspective with scalar relativistic effects included via the pseudo-potential. The computed electronic structures of various nano-clusters reveal…

Materials Science · Physics 2007-05-23 R. J. Magyar , V. Mujica , M. Marquez , C. Gonzalez

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

This paper examines a family of designs for magnetic cubes and counts how many configurations are possible for each design as a function of the number of modules. Magnetic modular cubes are cubes with magnets arranged on their faces. The…

Robotics · Computer Science 2021-07-22 Yitong Lu , Anuruddha Bhattacharjee , Daniel Biediger , Min Jun Kim , Aaron T. Becker

Geometric frustration and the ice rule are two concepts that are intimately connected and widespread across condensed matter. The first refers to the inability of a system to satisfy competing interactions in the presence of spatial…

A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of $N$ spins, with each spin coupled to every other spin. Clusters with $N=2$ and $3$ have been extensively studied as building blocks of square and…

Strongly Correlated Electrons · Physics 2018-02-07 Subhankar Khatua , R. Shankar , R. Ganesh

In this work, we theoretically demonstrate that a strong enhancement of the Magnetocaloric Effect is achieved in geometrically frustrated cluster spin-glass systems just above the freezing temperature. We consider a network of clusters…

Disordered Systems and Neural Networks · Physics 2023-05-24 F. M. Zimmer , R. Mourao , M. Schmidt , M. A. Tumelero , S. G. Magalhaes

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

Potential energies, moments of inertia, quadrupole and octupole moments of dinuclear systems are compared with the corresponding quantities of strongly deformed nuclei. As dinuclear system we denote two touching nuclei (clusters). It is…

Nuclear Theory · Physics 2009-10-31 T. M. Shneidman , G. G. Adamian , N. V. Antonenko , S. P. Ivanova , W. Scheid

Dipole-dipole interactions in a square planar array of sub-micron magnetic disks (magnetic dots) have been studied theoretically. Under a normal magnetic field the ground-state of the array undergoes many structural transitions between the…

Materials Science · Physics 2007-05-23 J. E. L. Bishop , A. Yu. Galkin , B. A. Ivanov

The Kitaev model is a beautiful example of frustrated interactions giving rise to deep and unexpected phenomena. In particular, its classical version has remarkable properties stemming from exponentially large ground state degeneracy. Here,…

Strongly Correlated Electrons · Physics 2020-05-27 Sarvesh Srinivasan , Subhankar Khatua , G. Baskaran , R. Ganesh

Thermally activated magnetization decay is studied in ensembles of clusters of interacting dipolar moments by applying the master-equation formalism, as a model of thermal relaxation in systems of interacting single-domain ferromagnetic…

Statistical Mechanics · Physics 2014-05-27 O. Hovorka , J. Barker , G. Friedman , R. W. Chantrell

Floppy modes --- deformations that cost zero energy --- are central to the mechanics of a wide class of systems. For disordered systems, such as random networks and particle packings, it is well-understood how the number of floppy modes is…

Soft Condensed Matter · Physics 2019-08-28 Luuk A. Lubbers , Martin van Hecke
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