Quantum fluctuations in the incommensurate phase of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CsCuCl</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>in a transverse magnetic field

Nikuni, Tetsuro; Jacobs, A. E.

doi:10.1103/physrevb.57.5205

Cited by 23 publications

(35 citation statements)

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“…Although there are several high-field experiments [11,[13][14][15][16] and theoretical studies [18,19] on the magnetic transitions in fields normal to the c-axis, all aspects of these fascinating properties have not yet been revealed.…”

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confidence: 99%

Magnetic field induced polar phase in the chiral magnetCsCuCl3

Miyake¹,

Shibuya²,

Akaki³

et al. 2015

Phys. Rev. B

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Magnetoelectric effects in the chiral magnet CsCuCl3 have been investigated through the magnetization and electric polarization measurements in pulsed high magnetic fields. If the magnetic field is applied normal to the spin chiral c-axis, a plateau and a jump in magnetization are observed. Between the plateau and the jump in magnetization, a small but significant electric polarization of about 0.25 µC/m 2 along the a-axis is observed with the field applied almost perpendicular to the ac-plane. In addition, the paramagnetoelectric effect expected from the point group symmetry is confirmed. The emergence of the electric polarization is explained by the cooperation of the local electric polarization on the chiral solitonic spin arrangement and the paramagnetoelectric effect. Hence, we interpret this novel multiferroic phase in CsCuCl3 as a polar solitonic phase.PACS numbers: 75.30.Kz, 75.85.+t Various triangular lattice antiferromagnets (TAFM) have long been studied with the focus on their geometric frustration from the antiferromagnetic coupling of the neighboring spins on a triangular lattice [1][2][3]. Among the TAFM systems, a hexagonal CsCuCl 3 has received sustained interest because of its distinctive chiral crystal structure and its resultant magnetism under applied magnetic fields. The S = 1/2 spins of the Cu 2+ ions form ferromagnetically coupled chains along the c-axis with J 0 = 28 K [4]. The chains are antiferromagnetically coupled and form a triangular lattice in the ab-plane, leading to a 120• spin structure below T N = 10.7 K at zero field [5]: the coupling strength is estimated to J 1 = -4.9 K [7]. The Curie-Weiss temperature obtained by the high-temperature magnetic susceptibility is comparable to T N for the magnetic fields along and perpendicular to the triangular lattice [1,6]. One of the most striking characteristics in CsCuCl 3 is that the Cu-chains are displaced helically in the triangular plane because of the cooperative Jahn-Teller distortion below 423 K [8]: the Cu-chains form helices along the c-axis with a six-ion periodicity [see Fig. 4(b)] [9]. Depending on the chirality, CsCuCl 3 has space group of P 6 1 22 or P 6 5 22 (i.e., point group 622) [10]. The absence of inversion symmetry makes the Dzyaloshinskii-Moriya (DM) interaction active: the strength is estimated to D = 5 K [5], which is comparable with J 1 . The ferromagnetic (FM) interaction tends to align spin moments, whereas the DM interaction favors perpendicular arrangements of adjacent spins. The resultant spin configuration for CsCuCl 3 is helical arising from the competition of these interactions with a period of 11.8c [5].

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confidence: 99%

Magnetic field induced polar phase in the chiral magnetCsCuCl3

Miyake¹,

Shibuya²,

Akaki³

et al. 2015

Phys. Rev. B

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“…Not only does LSW theory of the IC phase fail to explain any of the other results, it actually provides a worse description of the IC phase than does classical theory, by predicting a premature IC→C transition 29 at H ≈ 0.32H S . An innovative phenomenological theory 29 of quantum fluctuations explains the existence of the plateau 19,27 in q, and also its level. The theoretical value (H ≈ 0.44H S ) for the field at the IC→C transition 27 is however too small, and the magnetization is not predicted well; likely the phenomenological theory can be improved.…”

Section: Introductionmentioning

confidence: 94%

“…For T = 0, the above Hamiltonian was investigated in the classical approximation 25 , and the leading quantum correction was obtained using linear spin-wave (LSW) theory 29 . Neither theory can account for the structure observed near H S /3, but a phenomenological treatment 29 of quantum fluctuations is largely successful.…”

Section: Hamiltonianmentioning

confidence: 99%

“…Neither theory can account for the structure observed near H S /3, but a phenomenological treatment 29 of quantum fluctuations is largely successful. The extension of classical theory to T > 0 (by mean-field theory) gives a phase diagram 26 with only one IC phase, and so an understanding of the new IC phase near T N seems to require including fluctuations at some level.…”

Section: Hamiltonianmentioning

confidence: 99%

“…We assume a structure with three sublattices in the a-b planes and with period L in the c direction (in units of the layer spacing); the restriction to integer L causes no difficulty 29 . We assume also that the spins remain in the a-b planes at all H and T .…”

Section: Landau Theorymentioning

confidence: 99%

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Fluctuation-induced phase in in a transverse magnetic field: theory

Jacobs

Nikuni

1998

J. Phys.: Condens. Matter

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CsCuCl 3 is a quantum triangular antiferromagnet, ferromagnetically stacked, with an incommensurate (IC) structure due to a DzyaloshinskiiMoriya interaction. Because of the classical degeneracy caused by the frustration, fluctuations in CsCuCl 3 have extraordinarily large effects, such as the phase transition in longitudinal magnetic field (normal to the planes, parallel to the IC wavenumber q) and the plateau in q in transverse field (perpendicular to q). We argue that fluctuations are responsible also for the new IC phase discovered in transverse field near the Néel temperature T N , by T. Werner et al. [Solid State Commun. 102, 609 (1997)]. We develop and analyse the corresponding minimal Landau theory; the effects of fluctuations on the frustration are included phenomenologically, by means of a biquadratic term. The Landau theory gives two IC phases, one familiar from previous studies; properties of the new IC phase, which occupies a pocket of the temperature-field phase diagram near T N , agree qualitatively with those of the new phase found experimentally. 64.70.Rh, 75.10.Jm, 75.25.+z, 75.50.Ee

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A spin- model for CsCuCl in an external magnetic field

Honecker¹,

Kaulke

Schotte

2000

Eur. Phys. J. B

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CsCuCl3 is a ferromagnetically stacked triangular spin-1/2 antiferromagnet. We discuss models for its zero-temperature magnetization process. The models range from three antiferromagnetically coupled ferromagnetic chains to the full three-dimensional situation. The situation with spin-1/2 is treated by expansions around the Ising limit and exact diagonalization. Further, weak-coupling perturbation theory is used mainly for three coupled chains which are also investigated numerically using the density-matrix renormalization group technique. We find that already the three-chain model gives rise to the plateau-like feature at one third of the saturation magnetization which is observed in magnetization experiments on CsCuCl3 for a magnetic field perpendicular to the crystal axis. For a magnetic field parallel to the crystal axis, a jump is observed in the experimental magnetization curve in the region of again about one third of the saturation magnetization. In contrast to earlier spinwave computations, we do not find any evidence for such a jump with the model in the appropriate parameter region. PACS. 75.10.Jm Quantized spin models -75.45.+j Macroscopic quantum phenomena in magnetic systems -75.50.Ee Antiferromagnetics A. Honecker et al.: A Spin-1 2 Model for CsCuCl3 in an External Magnetic FieldThe purpose of the present paper is to gain some qualitative insight and demonstrate that new theoretical approaches to CsCuCl 3 are viable. It should be possible to develop all these approaches further to improve the accuracy of the results, to obtain a more realistic modeling or to compute other quantities. The modelNow we proceed to give a more accurate description of our model and the parameter region we are interested in. We model CsCuCl 3 by a stacked triangular lattice antiferromagnet as sketched in Fig. 2.1.

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Quantum fluctuations in the incommensurate phase ofCsCuCl3in a transverse magnetic field

Cited by 23 publications

References 51 publications

Magnetic field induced polar phase in the chiral magnetCsCuCl3

Magnetic field induced polar phase in the chiral magnetCsCuCl3

Fluctuation-induced phase in in a transverse magnetic field: theory

A spin- model for CsCuCl in an external magnetic field

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