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Origin of the crossover between a freezing and a structural transition at low concentration in the relaxor ferroelectric K 1-x Li x TaO 3

The origin of the relaxor behavior in K 1-x Li x TaO 3 (KLT) and other disordered perovskites is now recognized to be due to the reorientation of the polar nanodomains formed by the correlated dipoles of off-center ions. The collective dynamics of these systems evolve through several temperature stages. On decreasing temperature below the so-called Burns temperature T B , individual dipoles become correlated within nanosized regions. On further cooling, the slow dynamics of these polar regions allows local lattice distortions to take place and the formation of polar nanodomains at T* < T B . At still lower temperature, some relaxors undergo a phase transition while others do not. In KLT, there is a critical Li concentration x c = 0.022 above which the system undergoes a structural transition at T c , and below which it freezes in a dipole glass state at T f . To better understand the nature of this critical concentration, the changes that occur upon crossing it and the nature of the dipole glass state, the collective dynamics of KLT have been studied by dielectric spectroscopy and neutron diffraction for two Li concentrations (x = 0.026 and 0.018), close to but straddling the critical concentration x c . Two very different transitional behaviors are observed. Just below this critical concentration, KLT displays critical slowing down and the onset of freezing as seen in hydrogen-bonded molecular ferroelectrics, while just above this concentration, KLT undergoes a first-order structural transition.

36 MATERIALS SCIENCE↗

Field-induced spin density wave and spiral phases in a layered antiferromagnet

Here we determine the low-field ordered magnetic phases of the S=1 dimerized antiferromagnet Ba 3 Mn 2 O 8 using single crystal neutron diffraction. We find that for magnetic fields between μ 0 H=8.80 T and 10.56 T applied along the $1\bar{1}0$ direction the system exhibits spin density wave order with incommensurate wave vectors of type (η,η,ε). For μ 0 H > 10.56 T, the magnetic order changes to a spiral phase with incommensurate wave vectors only along the [hh0] direction. For both field induced ordered phases, the magnetic moments are lying in the plane perpendicular to the field direction. Finally, the nature of these two transitions is fundamentally different: the low-field transition is a second order transition to a spin-density wave ground state, while the one at higher field, toward the spiral phase, is of first order.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Evolution of the magnetic and structural properties of Fe 1 - x Co x V 2 O 4

The magnetic and structural properties of single-crystal Fe 1-x Co x V 2 O 4 samples have been investigated by performing specific heat, susceptibility, neutron diffraction, and x-ray diffraction measurements. As the orbital-active Fe 2+ ions with larger ionic size are gradually substituted by the orbital-inactive Co 2+ ions with smaller ionic size, the system approaches the itinerant electron limit with decreasing V-V distance. Then, various factors such as the Jahn-Teller distortion and the spin-orbital coupling of the Fe 2+ ions on the A sites and the orbital ordering and electronic itinerancy of the V 3+ ions on the B sites compete with each other to produce a complex magnetic and structural phase diagram. Finally, this phase diagram is compared to those of Fe 1-x Mn x V 2 O 4 and Mn 1-x Co x V 2 O 4 to emphasize several distinct features.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Structure symmetry determination and magnetic evolution in Sr 2 Ir 1–x Rh x O 4

We use single-crystal neutron diffraction to determine the crystal structure symmetry and to study the magnetic evolution in the rhodium doped iridates Sr 2 Ir 1–x Rh x O 4 (0 ≤ x ≤ 0.16). Throughout this doping range, the crystal structure retains a tetragonal symmetry (space group I4 1 /a) with two distinct magnetic Ir sites in the unit cell forming staggered IrO 6 rotation. Upon Rh doping, the magnetic order is suppressed and the magnetic moment of Ir4+ is reduced from 0.21 μ B /Ir for x = 0 to 0.18 μ B /Ir for x = 0.12. As a result, the magnetic structure at x = 0.12 is different from that of the parent compound while the moments remain in the basal plane.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Decoupling of the antiferromagnetic and insulating states in Tb-doped Sr 2 IrO 4

Sr 2 IrO 4 is a spin-orbit coupled insulator with an antiferromagnetic (AFM) transition at T N = 240 K. We report results of a comprehensive study of single-crystal Sr 2 Ir 1-x Tb x O 4 (0≤x≤0.03). This study found that mere 3% (x=0.03) tetravalent Tb 4+ (4f 7 ) substituting for Ir 4+ (rather than Sr 2+ ) completely suppresses the long-range collinear AFM transition but retains the insulating state, leading to a phase diagram featuring a decoupling of magnetic interactions and charge gap. The insulating state at x = 0.03 is characterized by an unusually large specific heat at low temperatures and an incommensurate magnetic state having magnetic peaks at (0.95, 0, 0) and (0, 0.95, 0) in the neutron diffraction, suggesting a spiral or spin density wave order. It is apparent that Tb doping effectively changes the relative strength of the SOI and the tetragonal CEF and enhances the Hund’s rule coupling that competes with the SOI, and destabilizes the AFM state. However, the disappearance of the AFM accompanies no metallic state chiefly because an energy level mismatch for the Ir and Tb sites weakens charge carrier hopping and renders a persistent insulating state. Furthermore, this work highlights an unconventional correlation between the AFM and insulating states in which the magnetic transition plays no critical role in the formation of the charge gap in the iridate.

36 MATERIALS SCIENCE↗

Local Jahn-Teller distortions and orbital ordering in Ba 3 Cu 1+x Sb 2-x O 9 investigated by neutron scattering

In this study, a spin-orbital quantum liquid state is theoretically proposed in the honeycomb lattice of Ba 3 CuSb 2 O 9 , enabled by dynamic short-range correlations between the spin and orbital degrees of freedom. Using neutron diffraction, the local atomic structure of Ba 3 Cu 1+x Sb 2-x O 9 at x = 0 and 0.1 is obtained via the pair density function analysis. The results indicate that both compositions exhibit local Jahn-Teller (JT) distortions with the elongated CuO 3 octahedral configuration. In Ba 3 Cu 1.1 Sb 1.9 O 9 , JT ordering of the distorted CuO 3 octahedra gives rise to the orthorhombic symmetry with ferro-orbital order. On the other hand, in Ba 3 CuSb 2 O 9 , even though the CuO 3 octahedra are JT distorted, there is no long-range ordering hence the symmetry is hexagonal. Furthermore, the local singlet excitation at 5.8 meV observed in Ba 3 CuSb 2 O 9 below 50 K is absent in Ba 3 Cu 1.1 Sb 1.9 O 9 . Instead, an excitation at 2.5 meV is observed in the latter, which is likely associated with short-range spin order.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Magnetic structure of NiS 2 - x Se x

NiS 2-2x Se x is revisited to determine the magnetic structure using neutron diffraction and magnetic representational analysis. Upon cooling, the insulating parent compound, NiS 2 , becomes antiferromagnetic with two successive magnetic transitions. The first transition (M1) occurs at T N similar to 39 K with Γ 1 Ψ 1 symmetry and a magnetic propagation vector of k = (000). The second transition (M2) occurs at T N similar to 30 K with k = (0.5,0.5,0.5) and a Γ 1 Ψ 2 symmetry with face-centered translations, giving rise to four possible magnetic domains. With doping, the system become smetallic. The transition to the M2 state is suppressed prior to x = 0.4 while the M1 state persists. The M1 magnetic structure gradually vanishes by x similar to 0.8 at a lower concentration than previously reported. The details of the magnetic structures are provided.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Structural and magnetic phase diagram of CrAs and its relationship with pressure-induced superconductivity

In this paper, we use neutron diffraction to study the structure and magnetic phase diagram of the newly discovered pressure-induced superconductor CrAs. Unlike most magnetic unconventional superconductors where the magnetic moment direction barely changes upon doping, here we show that CrAs exhibits a spin reorientation from the ab plane to the ac plane, along with an abrupt drop of the magnetic propagation vector at a critical pressure (P c ≈ 0.6 GPa). This magnetic phase transition, accompanied by a lattice anomaly, coincides with the emergence of bulk superconductivity. With further increasing pressure, the magnetic order completely disappears near the optimal T c regime (P ≈ 0.94 GPa). Moreover, the Cr magnetic moments tend to be aligned antiparallel between nearest neighbors with increasing pressure toward the optimal superconductivity regime. Finally, our findings suggest that the noncollinear helimagnetic order is strongly coupled to structural and electronic degrees of freedom, and that the antiferromagnetic correlations between nearest neighbors might be essential for superconductivity.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Pressure dependence of the magnetic ground states in MnP

MnP, a superconductor under pressure, exhibits a ferromagnetic order below TC~290 K followed by a helical order with the spins lying in the ab plane and the helical rotation propagating along the c axis below Ts~50 K at ambient pressure. We performed single-crystal neutron diffraction experiments to determine the magnetic ground states under pressure. Both TC and Ts are gradually suppressed with increasing pressure and the helical order disappears at ~1.2 GPa. At intermediate pressures of 1.8 and 2.0 GPa, the ferromagnetic order first develops and changes to a conical or two-phase (ferromagnetic and helical) structure with the propagation along the b axis below a characteristic temperature. At 3.8 GPa, a helical magnetic order appears below 208 K, which hosts the spins in the ac plane and the propagation along the b axis. The period of this b axis modulation is shorter than that at 1.8 GPa. Here, our results indicate that the magnetic phase in the vicinity of the superconducting phase may have a helical magnetic correlation along the b axis.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

XY antiferromagnetic ground state in the effective S = 1 2 pyrochlore Yb 2 Ge 2 O 7

We report neutron scattering and muon spin relaxation measurements (μSR) on the pyrochlore antiferromagnet Yb 2 Ge 2 O 7 . Inelastic neutron scattering was used to probe the transitions between crystal electric field levels, allowing us to determine the eigenvalues and eigenvectors appropriate to the J=$\frac{7}{2}$ Yb 3+ ion in this environment. The crystal electric field ground state doublet in Yb 2 Ge 2 O 7 corresponds primarily to m J =± $\frac{1}{2}$ with local XY anisotropy, consistent with an S eff = 12 description for the Yb moments. $μ$SR measurements reveal the presence of an ordering transition at T N =0.57 K with persistent weak dynamics in the ordered state. Finally, we present neutron diffraction measurements that reveal a clear phase transition to the $k$=(000)$Γ_5$ ground state with an ordered magnetic moment of 0.3(1)$μ_B$ per Yb ion. We compare and contrast this phenomenology with the low-temperature behavior of Yb 2 Ti 2 O 7 and Er 2 Ti 2 O 7 , the prototypical S eff = $\frac{1}{2}$ XY pyrochlore magnets.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Thermal evolution of antiferromagnetic correlations and tetrahedral bond angles in superconducting FeTe 1-x Se x

It has recently been demonstrated that dynamical magnetic correlations measured by neutron scattering in iron chalcogenides can be described with models of short-range correlations characterized by particular choices of four-spin plaquettes, where the appropriate choice changes as the parent material is doped towards superconductivity. Here we apply such models to describe measured maps of magnetic scattering as a function of two-dimensional wave vectors obtained for optimally superconducting crystals of FeTe 1–x Se x . We show that the characteristic antiferromagnetic wave vector evolves from that of the bicollinear structure found in underdoped chalcogenides (at high temperature) to that associated with the stripe structure of antiferromagnetic iron arsenides (at low temperature); these can both be described with the same local plaquette, but with different interplaquette correlations. While the magnitude of the low-energy magnetic spectral weight is substantial at all temperatures, it actually weakens somewhat at low temperature, where the charge carriers become more itinerant. The observed change in spin correlations is correlated with the dramatic drop in the electronic scattering rate and the growth of the bulk nematic response upon cooling. Lastly, we also present powder neutron diffraction results for lattice parameters in FeTe 1–x Se x indicating that the tetrahedral bond angle tends to increase towards the ideal value upon cooling, in agreement with the increased screening of the crystal field by more itinerant electrons and the correspondingly smaller splitting of the Fe 3d orbitals.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Detailed magnetic and structural analysis mapping a robust magnetic C 4 dome in Sr 1 - x Na x Fe 2 As 2

The recently discovered C 4 tetragonal magnetic phase in hole-doped members of the iron-based superconductors provides new insights into the origin of unconventional superconductivity. Previously observed in Ba 1-x Na x Fe 2 As 2 (with A = K, Na), the C 4 magnetic phase exists within the well studied C 2 spin-density wave (SDW) dome, arising just before the complete suppression of antiferromagnetic (AFM) order but after the onset of superconductivity. Here in this paper, we present detailed x-ray and neutron diffraction studies of Sr 1-x Na x Fe 2 As 2 (0.10 ≤ x ≤ 0.60) to determine their structural evolution and the extent of the C 4 phase. Spanning Δx ~ 0.14 in composition, the C 4 phase is found to extend over a larger range of compositions, and to exhibit a significantly higher transition temperature, T r ~ 65K, than in either of the other systems in which it has been observed. The onset of this phase is seen near a composition (x~0:30) where the bonding angles of the Fe 2 As 2 layers approach the perfect 109.46° tetrahedral angle. We discuss the possible role of this return to a higher symmetry environment for the magnetic iron site in triggering the magnetic reorientation and the coupled re-entrance to the tetragonal structure. Finally, we present a new phase diagram, complete with the C 4 phase, and use its observation in a third hole-doped 122 system to suggest the universality of this phase.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Strain-activated structural anisotropy in BaFe 2 As 2

We present high-resolution single crystal neutron diffraction measurements that probe the magnetostructural response to uniaxial pressure in the iron pnictide parent system BaFe 2 As 2 . Scattering data reveal a strain-activated, anisotropic broadening of nuclear Bragg reflections, which increase upon cooling below the resolvable onset of global orthorhombicity. This anisotropy in lattice coherence continues to build until a lower temperature scale the first-order onset of antiferromagnetism is reached. This data suggest that antiferromagnetism and strong magnetoelastic coupling drive the strain-activated lattice response in thismaterial and that the development of anisotropic lattice correlation lengths under strain is a possible origin for the high temperature transport anisotropy in this compound.

36 MATERIALS SCIENCE↗

Pressure effects on magnetic ground states in cobalt doped multiferroic Mn 1-x Co x WO 4

Using x-ray and high pressure neutron diffraction, we studied the pressure effect on structural and magnetic properties of multiferroic Mn 1-x Co x WO 4 single crystals (x = 0, 0.05, 0.135 and 0.17), and compared it with the effects of doping. Both Co doping and pressure stretch the Mn-Mn chain along the c direction. At high doping level (x = 0.135 and 0.17), pressure and Co doping drive the system in a very similar way and induce a spin-flop transition for the x = 0.135 compound. In contrast, magnetic ground states at lower doping level (x = 0 and 0.05) are robust against pressure but experience a pronounced change upon Co substitution. As Co introduces both chemical pressure and magnetic anisotropy into the frustrated magnetic system, our results suggest the magnetic anisotropy is the main driving force for the Co induced phase transitions at low doping level, and chemical pressure plays a more significant role at higher Co concentrations.

36 MATERIALS SCIENCE↗

Ab initio phonon dispersion in crystalline naphthalene using van der Waals density functionals

Acene molecular crystals are of current interest in organic optoelectronics, both as active materials and for exploring and understanding new phenomena. Phonon scattering can be an important facilitator and dissipation mechanism in charge separation and carrier transport processes. Here, we carry out density functional theory (DFT) calculations of the structure and the full phonon dispersion of crystalline naphthalene, a well-characterized acene crystal for which detailed neutron-diffraction measurements, as well as infrared and Raman spectroscopy, are available. We evaluate the performance, relative to experiments, of DFT within the local density approximation (LDA); the generalized gradient approximation of Perdew, Burke, and Ernzerhof (PBE); and a recent van der Waals-corrected nonlocal correlation (vdW-DF-cx) functional. We find that the vdW-DF-cx functional accurately predicts lattice parameters of naphthalene within 1%. Intermolecular and intramolecular phonon frequencies across the Brillouin zone are reproduced within 7.8% and 1%, respectively. As expected, LDA (PBE) underestimates (overestimates) the lattice parameters and overestimates (underestimates) phonon frequencies, demonstrating their shortcomings for predictive calculations of weakly bound materials. If the unit cell is fixed to the experimental lattice parameters, PBE is shown to lead to improved phonon frequencies. Our study provides a detailed understanding of the phonon spectrum of naphthalene, and highlights the importance of including van der Waals dispersion interactions in predictive calculations of lattice parameters and phonon frequencies of molecular crystals and related organic materials.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Structural and magnetic characterization of the one-dimensional S = 5/2 antiferromagnetic chain system SrMn(VO 4 )(OH)

The descloizite-type compound, SrMn(VO 4 )(OH), was synthesized as large single crystals (1-2mm) using a high-temperature high-pressure hydrothermal technique. X-ray single crystal structure analysis reveals that the material crystallizes in the acentric orthorhombic space group of P2 1 2 1 2 1 (no. 19), Z = 4. The structure exhibits a one-dimensional feature, with [MnO 4 ] chains propagating along the a-axis which are interconnected by VO 4 tetrahedra. Raman and infrared spectra were obtained to identify the fundamental vanadate and hydroxide vibrational modes. Magnetization data reveal a broad maximum at approximately 80 K, arising from one-dimensional magnetic correlations with intrachain exchange constant of J/k B = 9.97(3) K between nearest Mn neighbors and a canted antiferromagnetic behavior below T N = 30 K. Single crystal neutron diffraction at 4 K yielded a magnetic structure solution in the lower symmetry of the magnetic space group P2 1 with two unique chains displaying antiferromagnetically ordered Mn moments oriented nearly perpendicular to the chain axis. Lastly, the presence of the Dzyaloshinskii Moriya antisymmetric exchange interaction leads to a slight canting of the spins and gives rise to a weak ferromagnetic component along the chain direction.

36 MATERIALS SCIENCE↗

EuCo 2 P 2 : A Model Molecular-Field Helical Heisenberg Antiferromagnet

The metallic compound EuCo 2 P 2 with the body-centered tetragonal ThCr 2 Si 2 structure containing Eu spins-7/2 was previously shown from single-crystal neutron diffraction measurements to exhibit a helical antiferromagnetic (AFM) structure below T N =66.5 K with the helix axis along the c axis and with the ordered moments aligned within the ab plane. Here we report crystallography, electrical resistivity, heat capacity, magnetization, and magnetic susceptibility measurements on single crystals of this compound. We demonstrate that EuCo 2 P 2 is a model molecular-field helical Heisenberg antiferromagnet from comparisons of the anisotropic magnetic susceptibility χ, high-field magnetization, and magnetic heat capacity of EuCo 2 P 2 single crystals at temperature T≤TN with the predictions of our recent formulation of molecular-field theory. Values of the Heisenberg exchange interactions between the Eu spins are derived from the data. The low-T magnetic heat capacity ~T 3 arising from spin-wave excitations with no anisotropy gap is calculated and found to be comparable to the lattice heat capacity. The density of states at the Fermi energy of EuCo 2 P 2 and the related compound BaCo 2 P 2 are found from the heat capacity data to be large, 10 and 16 states/eV per formula unit for EuCo 2 P 2 and BaCo 2 P 2 , respectively. These values are enhanced by a factor of ~2.5 above those found from DFT electronic structure calculations for the two compounds. Additionally, the calculations also find ferromagnetic Eu–Eu exchange interactions within the ab plane and AFM interactions between Eu spins in nearest- and next-nearest planes, in agreement with the MFT analysis of χ ab (T≤TN).

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Magnetostriction-driven ground-state stabilization in 2H perovskites

In this paper, the magnetic ground state of Sr 3 ARuO 6 , with A =(Li,Na), is studied using neutron diffraction, resonant x-ray scattering, and laboratory characterization measurements of high-quality crystals. Combining these results allows us to observe the onset of long-range magnetic order and distinguish the symmetrically allowed magnetic models, identifying in-plane antiferromagnetic moments and a small ferromagnetic component along the c axis. While the existence of magnetic domains masks the particular in-plane direction of the moments, it has been possible to elucidate the ground state using symmetry considerations. We find that due to the lack of local anisotropy, antisymmetric exchange interactions control the magnetic order, first through structural distortions that couple to in-plane antiferromagnetic moments and second through a high-order magnetoelastic coupling that lifts the degeneracy of the in-plane moments. Finally, the symmetry considerations used to rationalize the magnetic ground state are very general and will apply to many systems in this family, such as Ca 3 ARuO 6 , with A = (Li,Na), and Ca 3 LiOsO 6 whose magnetic ground states are still not completely understood.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗