Magnetic excitations of the ${\mathrm{Cu}}^{2+}$ quantum spin chain in ${\mathrm{Sr}}_{3}{\mathrm{CuPtO}}_{6}$

Magnetic excitations of the ${Cu}^{2 +}$ quantum spin chain in ${Sr}_{3} {CuPtO}_{6}$

J. C. Leiner, Joosung Oh, A. I. Kolesnikov, M. B. Stone, Manh Duc Le, E. P. Kenny, B. J. Powell, M. Mourigal, E. E. Gordon, M.-H. Whangbo, J.-W. Kim, S.-W. Cheong, and Je-Geun Park

Phys. Rev. B 97, 104426 – Published 30 March 2018

Abstract

We report the magnetic excitation spectrum as measured by inelastic neutron scattering for a polycrystalline sample of ${Sr}_{3} {CuPtO}_{6}$ . Modeling the data by the 2+4 spinon contributions to the dynamical susceptibility within the chains, and with interchain coupling treated in the random phase approximation, accounts for the major features of the powder-averaged structure factor. The magnetic excitations broaden considerably as temperature is raised, persisting up to above 100 K and displaying a broad transition as previously seen in the susceptibility data. No spin gap is observed in the dispersive spin excitations at low momentum transfer, which is consistent with the gapless spinon continuum expected from the coordinate Bethe ansatz. However, the temperature dependence of the excitation spectrum gives evidence of some very weak interchain coupling.

Received 12 September 2017
Revised 11 December 2017

DOI:https://doi.org/10.1103/PhysRevB.97.104426

Physics Subject Headings (PhySH)

Antiferromagnetism Frustrated magnetism Magnetic susceptibility Spinon

1-dimensional spin chains Polycrystalline materials

Inelastic neutron scattering Time-of-flight neutron spectroscopy

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

J. C. Leiner^1,2,*, Joosung Oh^1,2, A. I. Kolesnikov³, M. B. Stone³, Manh Duc Le⁴, E. P. Kenny⁵, B. J. Powell⁵, M. Mourigal⁶, E. E. Gordon⁷, M.-H. Whangbo⁷, J.-W. Kim⁸, S.-W. Cheong⁸, and Je-Geun Park^1,2,†

¹Center for Correlated Electron Systems, Institute for Basic Science (IBS), Seoul 08826, Korea
²Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea
³Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
⁴ISIS Facility, STFC, Rutherford Appleton Laboratory, Didcot, Oxfordshire OX11-0QX, United Kingdom
⁵School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia
⁶School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
⁷Department of Chemistry, North Carolina State University, Raleigh, North Carolina 27695-8204, USA
⁸Rutgers Center for Emergent Materials and Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA

^*jleiner@snu.ac.kr
^†jgpark10@snu.ac.kr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 97, Iss. 10 — 1 March 2018

Reuse & Permissions

Access Options

Article Available via CHORUS

Download Accepted Manuscript

Author publication services for translation and copyediting assistance advertisement

Images

Figure 1
Crystal structure of ${Sr}_{3} {CuPtO}_{6}$ , with the spin chains consisting of face-sharing ${CuO}_{6}$ trigonal prisms and ${PtO}_{6}$ octahedra running along the chain direction. When viewed along the chain direction, the chains form a triangular lattice. In each ${CuO}_{6}$ trigonal prism, the ${Cu}^{2 +}$ ion is close to one “square” face of the prism to achieve a “square-planar” coordination environment.
Reuse & Permissions
Figure 2
Magnetic susceptibility data for single crystals of ${Sr}_{3} {CuPtO}_{6}$ with an applied magnetic field of $μ_{0} H = 2 kOe$ applied in the labeled orientations relative to the spin chains. The data were collected after zero field cooling. The chain structure shown may be compared with Fig. 1.
Reuse & Permissions
Figure 3
Temperature dependence of the magnetic excitations in ${Sr}_{3} {CuPtO}_{6}$ (measured with $E_{i} = 22 meV$ ). (a)–(d) Evolution of Q-E scattering intensity at the indicated temperatures with the empty sample-holder background subtracted. (e)–(h) The indicated temperature differences for comparison. (The faint parabolic line is from Helium recoil scattering). (i)–(l) 1D dispersion data extracted from the powder data in (a)–(d) using the conversion method of Tomiyasu et al. [22].
Reuse & Permissions
Figure 4
INS for SCPO taken with $E_{i}$ = 8 meV. (a) Data collected at 1.7 K with the empty-can background subtracted. (b) Difference between the 1.7 K and 50 K data. No gap in the magnetic excitation spectrum at the zone center is observed.
Reuse & Permissions
Figure 5
(a) The $T = 0$ dynamical structure factor calculated by treating the interchain coupling at the RPA level with the single chain susceptibility derived from 2+4 spinon structure factor from Caux and Hagemans [32] and the parameters given in Table 1. The form factor of the ${Cu}^{2 +}$ ion has been taken into account. (b) 1D powder average of this spinon structure factor. (c) Comparison of the data at 1.7 K and theory using a constant energy cut at $E = 5 meV$ [horizonal line in (b)](integrated between $4.8 - 5.2 meV$ ) and $E = 7.5 meV$ (integrated between $7.3 - 7.7 meV$ ). The solid red lines are derived from theory described in the text with $J / J^{'} = 150$ . (d) The difference between the ideal 1D spinon structure factor and the 3D random phase approximation (RPA) treatment of that theory with an interchain coupling ratio of $J / J^{'} = 150$ . (e) Difference in the powder averages of the aforementioned structure factors. (f) Comparison of data (at indicated temperatures) and theory using cuts at momentum transfer of $Q = 0.88 Å^{- 1}$ (integrated between 0.85 $-$ 0.91 $Å^{- 1}$ ), shown by the straight vertical lines in (a) and (b). The four solid curves are derived from theory with the different $J / J^{'}$ ratios indicated.
Reuse & Permissions

Physical Review B

covering condensed matter and materials physics

Magnetic excitations of the ${Cu}^{2 +}$ quantum spin chain in ${Sr}_{3} {CuPtO}_{6}$

J. C. Leiner, Joosung Oh, A. I. Kolesnikov, M. B. Stone, Manh Duc Le, E. P. Kenny, B. J. Powell, M. Mourigal, E. E. Gordon, M.-H. Whangbo, J.-W. Kim, S.-W. Cheong, and Je-Geun Park

Phys. Rev. B 97, 104426 – Published 30 March 2018

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text (Subscription Required)

References (Subscription Required)

Issue

Access Options

Physical Review B

covering condensed matter and materials physics

Magnetic excitations of the Cu2+ quantum spin chain in Sr3CuPtO6

J. C. Leiner, Joosung Oh, A. I. Kolesnikov, M. B. Stone, Manh Duc Le, E. P. Kenny, B. J. Powell, M. Mourigal, E. E. Gordon, M.-H. Whangbo, J.-W. Kim, S.-W. Cheong, and Je-Geun Park

Phys. Rev. B 97, 104426 – Published 30 March 2018

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text (Subscription Required)

References (Subscription Required)

Issue

Access Options

Authorization Required

Other Options

Download & Share

Images

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Log In

Search

Article Lookup

Paste a citation or DOI

Enter a citation

Magnetic excitations of the ${Cu}^{2 +}$ quantum spin chain in ${Sr}_{3} {CuPtO}_{6}$