The Geometries of Triangular Magnetic Lattices

Cava, R. J.; Holman, K. L.; McQueen, Tyrel M.; Welsh, Eric J.; West, D. V.; Williams, A. J.

doi:10.1007/978-3-642-10589-0_6

Cited by 10 publications

(11 citation statements)

References 55 publications

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“…Consider, for example, a quasi-two-dimensional magnet with the triangular spin layers stacked directly on top of each other (the so-called eclipsed stacking 30 ) and the symmetries of the crystal lattice being inversion I , threefold axis 3 z and the twofold axis 2 x (e.g. space groups , ).…”

Section: Resultsmentioning

confidence: 99%

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet

2015

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Multiply periodic states appear in a wide variety of physical contexts, such as the Rayleigh–Bénard convection, Faraday waves, liquid crystals and skyrmion crystals recently observed in chiral magnets. Here we study the phase diagram of an anisotropic frustrated magnet which contains five different multiply periodic states including the skyrmion crystal. We clarify the mechanism for stabilization of these states and discuss how they can be observed in magnetic resonance and electric polarization measurements. We also find stable isolated skyrmions with topological charge 1 and 2. Their spin structure, interactions and dynamics are more complex than those in chiral magnets. In particular, magnetic resonance in the skyrmion crystal should be accompanied by oscillations of the electric polarization with a frequency depending on the amplitude of the a.c. magnetic field. These results show that skyrmion materials with rich physical properties can be found among frustrated magnets. We formulate rules to help the search.

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Section: Resultsmentioning

confidence: 99%

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet

2015

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“…Over the years, a variety of materials have been identified where the magnetic ions sit on a kagome lattice (Balents, 2010;Cava et al, 2011;Mendels and Bert, 2016;Misguich and Lhuillier, 2013). Unfortunately, space precludes a discussion of these fascinating systems.…”

Section: Herbertsmithite and Its Relativesmentioning

confidence: 99%

Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the appearance of magnetism. In two dimensions, the classic example is the kagome lattice composed of corner sharing triangles. There are a variety of minerals whose transition metal ions form such a lattice. Hence, a number of them have been studied, and were then subsequently synthesized in order to obtain more pristine samples. Of particular note was the report in 2005 by Dan Nocera's group of the synthesis of herbertsmithite, composed of a lattice of copper ions sitting on a kagome lattice, which indeed does not order down to the lowest measured temperature despite the existence of a large exchange interaction of 17 meV. Over the past decade, this material has been extensively studied, yielding a number of intriguing surprises that have in turn motivated a resurgence of interest in the theoretical study of the spin 1 2 Heisenberg model on a kagome lattice. In this colloquium article, I will review these developments, and then discuss potential future directions, both experimental and theoretical, as well as the challenge of doping these materials with the hope that this could lead to the discovery of novel topological and superconducting phases.

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“…1) contains a 2D kagomé lattice where stacked planes of corner sharing triangles are arranged such that six-triangle rings are formed in the planes. 27 It is this corner-sharing geometry that favors a non-collinear magnetic structure, typical for 2D frustrated systems, in turn leading to a large degeneracy and low-temperature correlated disorder, characteristic of a spin liquid. The magnetic ions are coordinated to four equatorial OH groups, that each is bonded to two neighboring magnetic ions, and two axial bonds to the sulfate group.…”

Section: Introductionmentioning

confidence: 99%

Structural characterization and magnetic properties of chromium jarosite KCr₃(OD)₆(SO₄)₂

Janas

Sørensen

Andersen

et al. 2020

Phys. Chem. Chem. Phys.

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The Geometries of Triangular Magnetic Lattices

Cited by 10 publications

References 55 publications

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Structural characterization and magnetic properties of chromium jarosite KCr₃(OD)₆(SO₄)₂

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The Geometries of Triangular Magnetic Lattices

Cited by 10 publications

References 55 publications

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet

Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Structural characterization and magnetic properties of chromium jarosite KCr3(OD)6(SO4)2

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Structural characterization and magnetic properties of chromium jarosite KCr₃(OD)₆(SO₄)₂