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We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

We have studied the moment correlations within triangular lattice arrays of single-domain co-aligned nanoscale ferromagnetic islands. Independent variation of lattice spacing along and perpendicular to the island axis tunes the…

Mesoscale and Nanoscale Physics · Physics 2012-07-09 Sheng Zhang , Jie Li , Jason Bartell , Xianglin Ke , Cristiano Nisoli , Paul E. Lammert , Vincent H. Crespi , Peter Schiffer

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

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

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 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

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

Artificial spin ice systems have opened experimental windows into a range of model magnetic systems through the control of interactions among nanomagnet moments. This control has previously been enabled by altering the nanomagnet size and…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Susan Kempinger , Yu-Sheng Huang , Paul Lammert , Michael Vogel , Axel Hoffmann , Vincent H. Crespi , Peter Schiffer , Nitin Samarth

Frustrated lattices1-3, characterized by minor breakdown in local order in an otherwise periodic lattice, lead to simultaneous possibilities of several ground states which can trigger unique physical properties, in condensed matter systems.…

Mesoscale and Nanoscale Physics · Physics 2014-04-07 Satyendra Prakash Pal , P. Sen

In this article we review the effects of magnetic frustation in the stacked triangular lattice. Frustration increases the degeneracy of the ground state, giving rise to different physics. In particular it leads to unique phase diagrams with…

Condensed Matter · Physics 2009-10-30 M. F. Collins , O. A. Petrenko

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

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…

Geometric frustration is a key ingredient in the emergence of exotic states of matter, such as the quantum spin liquid in Mott insulators. While there has been intense interest in experimentally tuning frustration in candidate materials,…

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

Frustrated systems exhibit remarkable properties due to the high degeneracy of their ground states. Stabilised by competing interactions, a rich diversity of typically nanometre-sized phase structures appear in polymer and colloidal…

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…

Based on experimental observations in A{x}MO{2} (A = Na, Li; M = Co, Ni), a model for suppression of magnetic frustration by electron doping in a nearest-neighbour antiferromagnetic triangular lattice is presented. It is found that…

Materials Science · Physics 2007-05-23 K. Sheshadri , A. Chainani

In the triangular layered magnet PdCrO2 the intralayer magnetic interactions are strong, however the lattice structure frustrates interlayer interactions. In spite of this, long-range, 120$^\circ$ antiferromagnetic order condenses at $T_N =…

The intricate interplay between charge motion and magnetic order in geometrically frustrated lattices is central for the properties of many two-dimensional quantum materials. The triangular lattice antiferromagnet is a canonical example of…

Quantum Gases · Physics 2022-12-22 Jasper van de Kraats , Kristian K. Nielsen , Georg M. Bruun

Magnetism plays a key role in modern technology as essential building block of many devices used in daily life. Rich future prospects connected to spintronics, next generation storage devices or superconductivity make it a highly dynamical…

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