A polarised neutron scattering experiment has been performed on a single-Q, single domain sample of Cr in a magnetic field of 4 T in the transverse spin-density-wave phase. It is confirmed that the longitudinal fluctuations are enhanced for energy transfers E {lt} 8 meV similarly as in the longitudinal spin-density-wave phase. The spin wave modes with deltaS parallel and perpendicular to Q are isotropic within the E-range investigated

Boeni, P.

Lorenzo, J.E.

Roessli, B.

Shirane, G.

Sternlieb, B.J.

Werner, S.A.

UNT Digital Library

International Conference on Neutron Scattering, Toronto, CA 8/17-21/'9: BNL-64610 C O N f - 7 7  oa/y--- Version : 7/10/97 CR-MANdoc Polarisation dependence of the spin-density-wave excitations in single-domain chromium P. B o d ,  B. J. Sternliebb, B. Roessli'.", J. E. Loremod, G. Shiraneb,rmd S. A. Werner' "Labor fiir Neutronenstreuung, ETH & PSI, CH-5232 Villigen PSI, Switzerland b Brookhaven National Laboratory, Upton, New York I I973 'Institut h u e  Langevin, F-38042 Grenoble Cedex 9, France Laboratoire & Crystallographie, CNRS, F-38042 Grenoble, France 'Department of Physics, University of Missouri, Columbia, Missouri 652 I I d A polarised neutron scattering qerimenr has been performed on a single-Q, single do- main samle of Cr in a magnetic field of 4 T in the transverse spin-&nsity-wave phase. It is confirmed that the longitudinal fluctuations are enhanced for energy traders E < 8 meV similarly as in the longitudinal spin-density-wave phase. The spin wave mobs with 6s parallel and perpendicular to Q are isotropic within the E-range investigated. Keywords: Antiferromagnetism, incommensurate, itinerant, polarised neutrons Corresponding author : Peter Boni b Laboratory for Neutron Scattering ETH & PSI CH-5232 Villigen PSI, Switzerland .Tel: 4 1  56 310 2518 Fax : +41 56 310 2939 email : boni@psi.ch p' 1. Introduction Chromium is a very fascinating magnetic material [l]. At T, = 31 1 K it undergoes a transition from a paramagnetic phase to a transversely polarised spin-density-wave phase (TSDW) characterised by incommensurate wave vectors Q* = (1k6 0 0). At the spin flip temperature T,, = 121 K a transition to a longitudinally polarised phase (LSDW) occurs. The magnetic excitations exhibit many unusual features, in particular, the spin wave branches originating from the magnetic satellite positions are extremely steep and very difficult to resolve. Measurements using unpolarized neutrons have shown unambiguously that the longitu- dinal excitations are enhanced for E < 8 meV in the LSDW phase [2,3]. In the TSDW phase, the fluctuations perpendicular to Q are also enhanced below 8 meV [2], however, it was not clear, which modes are enhanced because at least three different modes &,TI, and T,, see Fig. lb) contribute to the scattering cross section. A clear separation is only possible with polarised neutrons on a single-Q, single-domain sample (Fig. IC). The neutron scattering experiments were performed using the IN20 polarised-neutron triple axis spectrometer at the Institut Laue-Langevin in Grenoble. The crystal was cooled through TN in a magnetic field of 20 T in order to induce a single-Q state. During the experiments, a vertical field H = 4 T was applied along [OOl] in order to enforce a single-domain state with the ,magnetic moments lying in the (h k 0) scattering plane (Fig. IC). The flipping ratio at (1-6 0 0) was 12 indicating that essentially all moments are aligned in the (h k 0) plane. The constant-Q scans were conducted at the (1-6 0 0) DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, make any warranty, express or implied, or assumes any legal liabili- ty or wpomibility for the accuracy, completeness, or usefulness of any information, appa- ratus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, p m m ,  or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessar- ily state or reflect those of the United States Government or any agency thereof. i and (6 1 0) satellite positions (Fig. la). Table 1 lists the fluctuation modes that can be measured at these positions with the spin flipper on and off. The background has been determined by measuring the spin-flip and non-spin-flip scattering at (0.7 0.7 0). It has not been subtracted from the data. 2. Results The data in Fig. 2 shows clearly that the longitudinal fluctuations are enhanced below 8 meV, similarly as in the LSDW phase [2,3]. In contrast, the spin wave modes T, and T2 are essentially independent of E (Figs. 2 and 3). The increase of the intensity of the TI mode at (1-6,0,0) and (6,l,O) for E < 5 meV is most likely due .to the increasing back- ground and not due to magnetic scattering. The transverse fluctuations seem to be stronger above E z 10 meV than the longitudinal fluctuations, in contrast to the situation in the LSDW phase [3]. We have performed similar measurements at 299 K at the allowed and silent satellite positions [4]. The intensity of the allowed peaks decreases monotonically with increas- ing E. In particular, at (1-6 0 0), the TI mode approaches the longitudinal mode and the enhancment for E < 8 meV is lost. The magnetic intensity of the TI and T2 mode at (1 6 0) decreases also with increasing E, however, the overall intensities are larger maybe due to a resolution effect. The scattering at the silent satellite positions is substantial. Finally, we have investigated the polarisation dependence of the Fincher-Burke mode. Our results are in agreement w'ith previous measurements by Pynn et al. [5] and confirm that the 4 meV commensurate mode at (1 0 0) is of longitudinal origin. $ Summarising, our measurements in the TSDW phase show that the spin wave modes T, and T, are essentially identical. At low T, the longitudinal mode is enhanced below E G 8 meV, similarly as in the LSDW phase. Close to TN, this enhancement vanishes, i.e. the Phase transition to the paramagnetic phase is driven by the longitudinal and the spin wave modes. Work a t  Brookhaven National Laboratory i s  Supported by the Division of Material Sciences, U,S. D.O,E., under Contract noo DE-AC02-76CH000160 3. References r11 r21 c31 r41 r51 E. Fawcett, Rev. Mod. Phys. 60,209 (1988). S. K. Burke, W. G. Stirling, K. R. A. Ziebeck, and J. G.  Booth, Phys. Rev. Lett. 51,494 (1983). J. E. Lorenzo, B. J. Sternlieb, G. Shirane, and S .  A. Werner, Phys. Rev. Lett. 72, 1762 (1994). B. J. Sternlieb, J. P. Hill, T. Inami, G. Shirane, W.-T. Lee, S .  A. Werner, and Eric Fawcett, Phys. Rev. Lett. 75,541 (1995). R. Pynn, W. G. Stirling, and A. Severing, Physica B 180 & 181, 203 (1992). Table 1: Polarisation and selection rules for the magnetic fluctuation modes in single-domain Cr. I momentum non spin flip spin flip I 4. Figure Captions Fig. 1: a) Brillouin zone of bcc Cr. The squares and circles represent chemical Bragg peaks and magnetic satellites, respectively. The filled circles indicate the visible satel- lites in the single-Q state. b) Definition of the three different polarisation modes. c) Schematics of a single-domain TSDW. Fig. 2: Polarisation dependence of magnetic fluctuations at (1-6 0 0) in the TSDW phase. The longitudinal mode is enhanced below 8 meV, when compared with the T, mode. The backgrounds for the spin-flip (sf) and non-spin-flip (nsf) scattering are given by the solid lines. Fig. 3: Polarisation dependen5e of the spin wave modes T, and T, at (6 1 0) in the TSDW phase. The spin-flip and non-spin-flip backgrounds are given by the solid lines. t I sx \corelEjWata\chrom 250 200 150 100 50 0 Cr (#IO) (1-6 0 0) T=l36K 'or T,: spin wave (nsf' 1 * L: longitudinal (sf) M - r  T . chrom\Fig2,opj SV1972118 l l l l l  l l l l I l l l l l ,  0 2 4 6 8 10 12 14 16 18 Energy Transfer (mev) LL (iD c7 II I- 1 n . I I I 00 1 I I I I I I I I I 9 I 0 -  a -  1 -  W I n 1 -  I 0 -  # w -  9 I I I I I I I I I I 10 0 0 0 0 0 0 Lo 0 Lo 0 Lo cv cv 7 M 9 7 0 8 8 9 4 5  I lllllllllll llllllllll Il11 llllllllllllllllllll I1 1111 Sponsor Code (18) e E k  / ,# x F- U C Category (1 9) / DOE 

Polarization Dependence of the Spin-Density-Wave Excitations in Single-Domain Chromium

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Polarization Dependence of the Spin-Density-Wave Excitations in Single-Domain Chromium

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