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Svistov, L. E.; Smirnov, Alex I.; Prozorova, L. A.; Petrenko, O. A.; Micheler, A.; Büttgen, N.; Shapiro, A. B.; Demianets, L. N.

doi:10.1103/physrevb.74.024412

Cited by 64 publications

(65 citation statements)

References 17 publications

(42 reference statements)

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“…The three phase are well known; the Y phase, the uud phase with 1/3 M sat plateau, and the oblique phase [6][7][8]41 . First, we note the existence of the two-step transition; i.e., uud phase between PM and 120…”

Section: Discussionmentioning

confidence: 99%

Magnetic phase diagram and multiferroicity ofBa3MnNb2O9: A spin-52triangular lattice antif

et al. 2014

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We have performed magnetic, electric, thermal and neutron powder diffraction (NPD) experiments as well as density functional theory (DFT) calculations on Ba3MnNb2O9. All results suggest that Ba3MnNb2O9 is a spin-5/2 triangular lattice antiferromagnet (TLAF) with weak easy-axis anisotropy. At zero field, we observed a narrow two-step transition at TN1 = 3.4 K and TN2 = 3.0 K. The neutron diffraction measurement and the DFT calculation indicate a 120• spin structure in ab plane with out-of-plane canting at low temperatures. With increasing magnetic field, the 120• spin structure evolves into up-up-down (uud) and oblique phases showing successive magnetic phase transitions, which fits well to the theoretical prediction for the 2D Heisenberg TLAF with classical spins. Multiferroicity is observed when the spins are not collinear but suppressed in the uud and oblique phases.

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Section: Discussionmentioning

confidence: 99%

Magnetic phase diagram and multiferroicity ofBa3MnNb2O9: A spin-52triangular lattice antif

et al. 2014

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“…23 Notably, Cs 2 CuCl 4 shows no signs of this plateau, which has been attributed 18 to its more pronounced spatial anisotropy and stronger interlayer coupling, 24,25 which is known to suppress the plateau. 26 And unlike the higherspin material RbFe(MoO 4 ) 2 discussed above, 14 the width of the magnetization plateau in Cs 2 CuBr 4 is essentially T independent, 21 strongly hinting at its quantum origin. 9,23,27 The sheer number of states present in the phase diagram of Cs 2 CuBr 4 , in comparison with the three phases expected from the standard isotropic Heisenberg antiferromagnet on the triangular lattice, make it clear that a thorough theoretical study is required to begin understanding this material's complex behavior.…”

Section: Introductionmentioning

confidence: 99%

“…III D to the classical DM energy in Eq. (14). [For example, the effect of quantum fluctuations on the DM energy produces a higher-order correction ∼(D/J )(1/S).]…”

Section: Quantum Ground Statesmentioning

confidence: 99%

“…12,13 To date a large number of magnetic materials have been synthesized that realize triangular antiferromagnets, and experiments on such compounds have highlighted the spectacular breadth of phenomena that can be driven by the interplay between magnetic fields and geometric frustration stemming from the lattice. For example, a stacked triangular antiferromagnet with weak interplane coupling is realized by the S = 5/2 material RbFe(MoO 4 ) 2 , whose phase diagram 14 features all of the fluctuation-selected states discussed above. Reducing the magnitude of the magnetic ion's spin enhances quantum fluctuations, sometimes leading to highly nonclassical behavior.…”

Section: Introductionmentioning

confidence: 99%

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Deformed triangular lattice antiferromagnets in a magnetic field: Role of spatial anisotropy and Dzyaloshinskii-Moriya interactions

et al. 2011

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Recent experiments on the anisotropic spin-1/2 triangular antiferromagnet Cs 2 CuBr 4 have revealed a remarkably rich phase diagram in applied magnetic fields, consisting of an unexpectedly large number of ordered phases. Motivated by this finding, we study the role of three ingredients-spatial anisotropy, Dzyaloshinskii-Moriya interactions, and quantum fluctuations-on the magnetization process of a triangular antiferromagnet, coming from the semiclassical limit. The richness of the problem stems from two key facts: (1) the classical isotropic model with a magnetic field exhibits a large accidental ground-state degeneracy and (2) these three ingredients compete with one another and split this degeneracy in opposing ways. Using a variety of complementary approaches, including extensive Monte Carlo numerics, spin-wave theory, and an analysis of Bose-Einstein condensation of magnons at high fields, we find that their interplay gives rise to a complex phase diagram consisting of numerous incommensurate and commensurate phases. Our results shed light on the observed phase diagram for Cs 2 CuBr 4 and suggest a number of future theoretical and experimental directions that will be useful for obtaining a complete understanding of this material's interesting phenomenology.

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“…Quite a few models of frustrated magnetic systems on a triangular lattice have been proposed as candidates to possess exotic quantum phases, both magnetically ordered and disordered, such as spin nematic phase 5, 6 , magnetization plateau state [7][8][9][10][11][12][13] (and references therein), valence bond solid phase 14 , spin density wave phase 11,15 , and quantum spin liquid phase [16][17][18] .…”

Section: Introductionmentioning

confidence: 99%

Quantum phase transitions in the HeisenbergJ1−J2triangular antiferromagnet in a magnetic field

Ye¹,

Chubukov²

2017

Phys. Rev. B

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We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor (J 1 ) and next nearest neighbor (J 2 ) interactions, in a magnetic field. We show that the classical model has an accidental degeneracy for all J 2 /J 1 and all fields, but the degeneracy is lifted by quantum fluctuations. We show that at large S, for J 2 /J 1 < 1/8, quantum fluctuations select the same sequence of three sublattice co-planar states in a field as for J 2 = 0, and for 1/8 < J 2 /J 1 < 1 they select the canted stripe state for all non-zero fields. The transition between the two states is first order in all fields, with the hysteresis width set by quantum fluctuations. We study the model with arbitrary S, including S = 1/2, near the saturation field by exploring the fact that near saturation the density of bosons is small for all S.We show that for S > 1, the transition remains first order, with a finite hysteresis width, but for S = 1/2 and, possibly, S = 1, there appears a new intermediate phase without a quasi-classical long-range order.

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Magnetic phase diagram, critical behavior, and two-dimensional to three-dimensional crossover in the triangular lattice antiferromagnetRbFe(MoO4)2

Cited by 64 publications

References 17 publications

Magnetic phase diagram and multiferroicity ofBa3MnNb2O9: A spin-52triangular lattice antif

Magnetic phase diagram and multiferroicity ofBa3MnNb2O9: A spin-52triangular lattice antif

Deformed triangular lattice antiferromagnets in a magnetic field: Role of spatial anisotropy and Dzyaloshinskii-Moriya interactions

Quantum phase transitions in the HeisenbergJ1−J2triangular antiferromagnet in a magnetic field

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