Unusual ordered phases of highly frustrated magnets: a review

Starykh, Oleg A.

doi:10.1088/0034-4885/78/5/052502

Cited by 251 publications

(247 citation statements)

References 229 publications

(415 reference statements)

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“…The presence of multiple phase transitions and magnetization plateaus in a moderate magnetic field [76] is expected in the case of a XXZ triangular-lattice antiferromagnet [77,78]. This may also help to constrain the possible values of J 2 [79] and anisotropic exchanges, although exchange disorder may be very efficient at suppressing these features [80].…”

Section: Discussionmentioning

confidence: 98%

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

et al. 2018

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The spin-1=2 triangular lattice antiferromagnet YbMgGaO 4 has attracted attention recently as a quantum spin-liquid candidate with the possible presence of off-diagonal anisotropic exchange interactions induced by spin-orbit coupling. Whether a quantum spin liquid is stabilized or not depends on the interplay of various exchange interactions with chemical disorder that is inherent to the layered structure of the compound. We combine time-domain terahertz spectroscopy and inelastic neutron scattering measurements in the field-polarized state of YbMgGaO 4 to obtain better insight of its exchange interactions. Terahertz spectroscopy in this fashion functions as a high-field electron spin resonance and probes the spin-wave excitations at the Brillouin zone center, ideally complementing neutron scattering. A global spin-wave fit to all our spectroscopic data at fields over 4 T, informed by the analysis of the terahertz spectroscopy linewidths, yields constraints on the disorder-averaged g factors and exchange interactions. Our results paint YbMgGaO 4 as an easy-plane XXZ antiferromagnet with the combined and necessary presence of subleading next-nearest neighbor and weak anisotropic off-diagonal nearest-neighbor interactions. Moreover, the obtained g factors are substantially different from previous reports. This work establishes the hierarchy of exchange interactions in YbMgGaO 4 from high-field data alone and thus strongly constrains possible mechanisms responsible for the observed spin-liquid phenomenology.

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Section: Discussionmentioning

confidence: 98%

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

et al. 2018

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“…Such a phase is a classical spin liquid. (See 58,59 for a review.) The model has been considered in three dimensions [60][61][62] as well as in two dimensions for the N = 2 case 46 .…”

Section: J1-j3 Modelmentioning

confidence: 99%

First-order transition induced by topological defects in theO(3)principal chiral model

Сорокин

2017

Phys. Rev. B

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Using Monte Carlo simulations, we study thermal and critical properties of two systems, in which domain walls and so-called Z2-vortices as topological defects are presented. The main model is a lattice version of the O(3) principal chiral model. We find a first order transition and give qualitative arguments that the first order is induced by topological defects. We also consider the model of frustrated antiferromagnet on a square lattice with the additional exchange interaction between spins of the third range order. This model belongs to the same symmetry class. In this model, a transition is of first order too.

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“…In this context of research, triangular-lattice antiferromagnets (TLAFs) have a long history as a promising model system for studying the interplay among frustration, quantum fluctuations, and magnetic fields [9,10]. Recent advances in experiments have allowed for preparing a variety of quasi-two-dimensional (quasi-2D) TLAF materials and accessing their magnetic properties in strong magnetic fields up to the saturation field H s [11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation

et al. 2017

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Quantum magnetic phases near the magnetic saturation of triangular-lattice antiferromagnets with XXZ anisotropy have been attracting renewed interest since it has been suggested that a nontrivial coplanar phase, called the π-coplanar or Ψ phase, could be stabilized by quantum effects in a certain range of anisotropy parameter J/Jz besides the well-known 0-coplanar (known also as V ) and umbrella phases. Recently, Sellmann et al. [Phys. Rev. B 91, 081104(R) (2015)] claimed that the π-coplanar phase is absent for S = 1/2 from an exact-diagonalization analysis in the sector of the Hilbert space with only three down-spins (three magnons). We first reconsider and improve this analysis by taking into account several low-lying eigenvalues and the associated eigenstates as a function of J/Jz and by sensibly increasing the system sizes (up to 1296 spins). A careful identification analysis shows that the lowest eigenstate is a chirally antisymmetric combination of finite-size umbrella states for J/Jz 2.218 while it corresponds to a coplanar phase for J/Jz 2.218. However, we demonstrate that the distinction between 0-coplanar and π-coplanar phases in the latter region is fundamentally impossible from the symmetry-preserving finite-size calculations with fixed magnon number. Therefore, we also perform a cluster mean-field plus scaling analysis for small spins S ≤ 3/2. The obtained results, together with the previous large-S analysis, indicate that the π-coplanar phase exists for any S except for the classical limit (S → ∞) and the existence range in J/Jz is largest in the most quantum case of S = 1/2.

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Unusual ordered phases of highly frustrated magnets: a review

Cited by 251 publications

References 229 publications

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

First-order transition induced by topological defects in theO(3)principal chiral model

Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation

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