Antisymmetric and anisotropic exchange in ferromagnetic copper(II) layers

Soos, Z. G.; McGregor, Kenneth T.; Cheung, T. T. P.; Silverstein, A. J.

doi:10.1103/physrevb.16.3036

Cited by 101 publications

(46 citation statements)

References 34 publications

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“…Within the coordinate system, where the z axis is determined by the external magnetic field, the second moment due to Dzyaloshinsky-Moriya interaction is calculated as [24,25] …”

Section: Linewidthmentioning

confidence: 99%

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnO
Deisenhofer
¹
,
Erëmin
²
,
Zakharov
³

et al. 2002
Phys. Rev. B
53
2
31
1
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We present a comprehensive analysis of Dzyaloshinsky-Moriya interaction and crystal-field parameters using the angular dependence of the paramagnetic resonance shift and linewidth in single crystals of La0.95Sr0.05MnO3 within the orthorhombic Jahn-Teller distorted phase. The DzyaloshinskyMoriya interaction (∼ 1 K) results from the tilting of the MnO6 octahedra against each other. The crystal-field parameters D and E are found to be of comparable magnitude (∼ 1 K) with D ≈ −E. This indicates a strong mixing of the |3z 2 − r 2 and |x 2 − y 2 states for the real orbital configuration.

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“…Within the coordinate system, where the z axis is determined by the external magnetic field, the second moment due to Dzyaloshinsky-Moriya interaction is calculated as [24,25] …”

Section: Linewidthmentioning

confidence: 99%

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnO
Deisenhofer
¹
,
Erëmin
²
,
Zakharov
³

et al. 2002
Phys. Rev. B
53
2
31
1
View full text Add to dashboard Cite

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“…The symbols f 1 , f 2 , and f 3 denote the so called spectral-density functions, as introduced by Pilawa [22]. f 1 corresponds to the secular part, whereas f 2 and f 3 correspond to nonsecular parts.J αβ are anisotropy parameters in notations of reference [21]. On transformation to the crystallographic coordinates (x, y, z), we obtain the angular dependence (see appendix).…”

Section: Anisotropic Exchange In the Cu Chains A Esr Linewidth Amentioning

confidence: 99%

“…In coordinatesx,ỹ,z, where thez-axis is defined by the direction of the applied magnetic field H, the second moment M 2 due to anisotropic exchange is given by [21,22] …”

Section: Anisotropic Exchange In the Cu Chains A Esr Linewidth Amentioning

confidence: 99%

Anisotropic exchange inLiCuVO4probed by ESR

et al. 2002

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We investigated the paramagnetic resonance in single crystals of LiCuVO 4 with special attention to the angular variation of the absorption spectrum. To explain the large resonance linewidth of the order of 1 kOe, we analyzed the anisotropic exchange interaction in the chains of edge-sharing CuO 6 octahedra, taking into account the ring-exchange geometry of the nearest-neighbor coupling via two symmetric rectangular Cu-O bonds. The exchange parameters, which can be estimated from theoretical considerations, nicely agree with the parameters obtained from the angular dependence of the linewidth.The anisotropy of this magnetic ring exchange is found to be much larger than it is usually expected from conventional estimations which neglect the bonding geometry. Hence, the data yield the evidence that in copper oxides with edge-sharing structures the role of the orbital degrees of freedom is strongly enhanced. These findings establish LiCuVO 4 as one-dimensional compound 1 at high temperatures.

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“…The peculiarities observed in the cross-over regime (34 K < T < 60 K) can be described in the framework of the competition of antisymmetric DM exchange and symmetric anisotropic exchange, which has been discussed by Yamada et al [15] for the one dimensional antiferromagnet KCuF 3 and more extensively for ferromagnetic Cu layers by Soos et al [16]. In these papers the evolution of the linewidth with temperature is calculated for both interactions.…”

mentioning

confidence: 99%

“…The DM interaction produces π-periodic modulations in any case. The anisotropic-exchange interaction yields π/2-periodic modulations only if its secular contributions are enhanced with respect to the non-secular contributions by spin diffusion, which is characteristic for low dimensional systems [16]. As we will report in a more detailed subsequent publication, the fact that the π/2-periodic modulation is only observed in the b-c plane, whereas it does not occur in both a-b and a-c plane, means that all elements of the anisotropic exchange tensor vanish except J bc = 0.…”

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confidence: 99%

Charge Order inNaV2O5Studied by EPR

et al. 2000

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We present angular dependent EPR measurements in NaV2O5 at X-band frequencies in the temperature range 4.2 K ≤ T ≤ 670 K. A detailed analysis in terms of the antisymmetric DzyaloshinskiMoriya and the anisotropic exchange interactions yields the following scheme of charge order: On decreasing temperature a quarter-filled ladder with strong charge disproportions, existing for T ≥ 100 K, is followed by zig-zag charge-order fluctuations which become long-range and static below TSP = 34 K.The observation of an exponential decrease in magnetic susceptibility in α'-NaV 2 O 5 below 34 K [1] triggered many experimental and theoretical investigations. Following the determination of the crystal structure by Carpy and Galy [2] as space group P2 1 mmn with linear chains of V 4+ ions (spin S = 1/2) separated by non magnetic V 5+ chains, NaV 2 O 5 , analogous to CuGeO 3 , was classified as inorganic spin-Peierls system. Later on a re-investigation of the crystal structure showed that NaV 2 O 5 has to be considered a quarter-filled ladder system [3][4][5] with only one vanadium site in the hightemperature phase described by space group Pmmn. The direction of the ladders is given by the crystallographic b axis. Each rung consists of two VO 5 pyramids along the a axis, which share one corner at their base. Based on this structure a charge-order transition followed by different kinds of spin order were proposed [3,6,7]. A recent investigation suggested a low-temperature phase consisting of modulated ladders with zig-zag charge order alternating with non modulated ladders with vanadium ions of intermediate valenceElectron-paramagnetic resonance (EPR) is ideally suited for the investigation of the magnetic properties of vanadium systems, since the vanadium ions themselves (as V 4+ with electron configuration 3d 1 in the present case) can be used as a microscopic probe of the spin system. In this paper we present angular dependent EPR measurements at X-band frequencies (9.48 GHz) within the temperature range 4.2 K < T < 670 K. The experimental details concerning the crystal growth of NaV 2 O 5 and EPR measurements have been described in previous papers [9]. For all temperatures the EPR spectrum consists of a single strongly exchange-narrowed Lorentzian line. The EPR intensity does not show any angular dependence within experimental error. Its temperature behavior follows that of a one dimensional antiferromagnetic Heisenberg chain at high temperatures T > 100 K [10], whereas it decreases exponentially below the transition temperature T SP . Strong deviations from the model predictions were observed between 100 K and T SP [9]. The g-values are found as g a ≈ g b ≈ 1.98 and g c ≈ 1.94, which are typical for V 4+ in octahedral crystal symmetry [11], and increase only slightly below T SP . Here we confine ourselves to the discussion of the angular and temperature dependence of the resonance linewidth, which carries the information about the interactions of the vanadium spins with their local environment. Figure 1 shows the temperature de...

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Antisymmetric and anisotropic exchange in ferromagnetic copper(II) layers

Cited by 101 publications

References 34 publications

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnO
Deisenhofer
¹
,
Erëmin
²
,
Zakharov
³

et al. 2002
Phys. Rev. B
53
2
31
1
View full text Add to dashboard Cite

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnO
Deisenhofer
¹
,
Erëmin
²
,
Zakharov
³

et al. 2002
Phys. Rev. B
53
2
31
1
View full text Add to dashboard Cite

Anisotropic exchange inLiCuVO4probed by ESR

Charge Order inNaV2O5Studied by EPR

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Antisymmetric and anisotropic exchange in ferromagnetic copper(II) layers

Cited by 101 publications

References 34 publications

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnODeisenhofer1, Erëmin2, Zakharov3 et al. 2002Phys. Rev. B532311View full textAdd to dashboardCite

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnODeisenhofer1, Erëmin2, Zakharov3 et al. 2002Phys. Rev. B532311View full textAdd to dashboardCite

Anisotropic exchange inLiCuVO4probed by ESR

Charge Order inNaV2O5Studied by EPR

Contact Info

Product

Resources

About

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnO
Deisenhofer
¹
,
Erëmin
²
,
Zakharov
³

et al. 2002
Phys. Rev. B
53
2
31
1
View full text Add to dashboard Cite

Crystal field, Dzyaloshinsky-Moriya interaction, and orbital order inLa0.95Sr0.05MnO
Deisenhofer
¹
,
Erëmin
²
,
Zakharov
³

et al. 2002
Phys. Rev. B
53
2
31
1
View full text Add to dashboard Cite