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A. Hauser

Publications and source records attributed to A. Hauser.

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Matching second-order classical and 1-loop quantum tensor power spectra in de Sitter spacetime

Large corrections to the inflationary tensor power spectrum have been speculated to emerge either as second-order scalar-induced classical effects, or as 1-loop quantum corrections. These two sources are not independent of each other. Choosing the example of a massless minimally coupled scalar field, we show how the full 1-loop result can be divided into its classical and vacuum parts. Working first in dimensional regularization, we show that the classical part is IR divergent, with IR referring to small comoving momenta that have an influence for a very long time. In the full 1-loop quantum result, these divergences cancel. Introducing then a momentum cutoff that permits for a numerical evaluation of the classical contribution, we show that the IR sensitivity manifests itself as a cubic divergence. We suggest a procedure of "non-perturbative renormalization" for extracting physical information not affected by the divergence. If this can be implemented in realistic systems, it could consolidate numerical studies of inflationary scalar-induced gravitational waves.

hep-ph

Tailoring properties of Heusler alloys by elemental substitution and electron counting: (Co$_{2-\alpha}$Mn$_\alpha$)FeGe, Co$_2$(Fe$_{1-\beta}$Mn$_{\beta}$)Ge, and (Co$_{2-\alpha}$Fe$_\alpha$)MnGe

Rational material design by elemental substitution is useful in tailoring materials to have desirable properties. Here we consider three non-equivalent substitutional series based on Co$_2$FeGe, viz; (Co$_{2-\alpha}$Mn$_\alpha$)FeGe, Co$_2$(Fe$_{1-\beta}$Mn$_{\beta}$)Ge, (Co$_{2-\alpha}$Fe$_\alpha$)MnGe ($0\!\le\!\alpha\!\le\!2, 0\!\le\!\beta\!\le\!1$), and study how material properties evolve with the interchange of Mn, Fe, and Co in Co$_2$FeGe. In all three schemes, single-phase compounds can be obtained over a wide range of compositions: $0.125 < \alpha < 1.375 $ for (Co$_{2-\alpha}$Mn$_{\alpha}$)FeGe, $0 \!\le\! \beta \!\le\! 1$ for Co$_2$(Fe$_{1-\beta}$Mn$_{\beta}$)Ge, and $0 \!<\! \alpha \!<\! 1.50$ for (Co$_{2-\alpha}$Fe$_\alpha$)MnGe. All the single-phase compounds crystallise in fcc structure with chemical ordering consistent with the ``4-2'' rule of Butler et al. The compounds are soft ferromagnets with low temperature saturation magnetisation agreeing with the Slater-Pauling rule. Very high Curie temperatures are measured, with values up to 1000 K for lower Mn concentrations. First principle calculations indicate, in the most stable atomic configuration, Mn prefers sharing sublattice with Ge, also consistent with the 4-2 rule. The calculations further predict half-metallic behaviour for (Co$_{1.625}$Mn$_{0.375}$)FeGe, while finding other compositions to be nearly half-metallic. Upon comparing the results of the three series, it is found that single-phase alloys occur for a specific range of valence electrons per unit cell ($\sim\!28.5\!-\!29.75$), and that even for multi-phase samples the structural, magnetic, and electronic properties depend primarily on the number of valence electrons and not on the specific substitution scheme employed.

cond-mat.mtrl-sci

Comment on `Oxygen vacancy-induced magnetic moment in edge-sharing CuO$_{2}$ chains of Li$_{2}$CuO$_{2}$'

In a recent work devoted to the magnetism of Li$_{2}$CuO$_{2}$, Shu et al. [New J. Phys. 19 (2017) 023026] have proposed a "simplified" unfrustrated microscopic model that differs considerably from the models refined through decades of prior work. We show that the proposed model is at odds with known experimental data, including the reported magnetic susceptibility $\chi(T)$ data up to 550~K. Using an 8$^{\rm th}$ order high-temperature expansion for $\chi(T)$, we show that the experimental data for Li$_{2}$CuO$_{2}$ are consistent with the prior model derived from inelastic neutron scattering (INS) studies. We also establish the $T$-range of validity for a Curie-Weiss law for the real frustrated magnetic system. We argue that the knowledge of the long-range ordered magnetic structure for $T<T_N$ and of $\chi(T)$ in a restricted $T$-range provides insufficient information to extract all of the relevant couplings in frustrated magnets; the saturation field and INS data must also be used to determine several exchange couplings, including the weak but decisive frustrating antiferromagnetic (AFM) interchain couplings.

cond-mat.str-el

Thermodynamics of the frustrated $J_1$-$J_2$ Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin

We use the spin-rotation-invariant Green's function method as well as the high-temperature expansion to discuss the thermodynamic properties of the frustrated spin-$S$ $J_{1}$-$J_{2}$ Heisenberg magnet on the body-centered cubic lattice. We consider ferromagnetic nearest-neighbor bonds $J_1 < 0$ and antiferromagnetic next-nearest-neighbor bonds $J_2 \ge 0$ and arbitrary spin $S$. We find that the transition point $J_2^c$ between the ferromagnetic ground state and the antiferromagnetic one is nearly independent of the spin $S$, i.e., it is very close to the classical transition point $J_2^{c,{\rm clas}}= \frac{2}{3}|J_1|$. At finite temperatures we focus on the parameter regime $J_2<J_2^c$ with a ferromagnetic ground-state. We calculate the Curie temperature $T_{C}(S,J_{2})$ and derive an empirical formula describing the influence of the frustration parameter $J_{2}$ and spin $S$ on $T_C$. We find that the Curie temperature monotonically decreases with increasing frustration $J_2$, where very close to $J_2^{c,{\rm clas}}$ the $T_C(J_2)$-curve exhibits a fast decay which is well described by a logarithmic term $1/\textrm{log}(\frac{2}{3}|J_1|-J_{2})$. To characterize the magnetic ordering below and above $T_C$, we calculate the spin-spin correlation functions $\langle {\bf S}_{\bf 0} {\bf S}_{\bf R} \rangle$, the spontaneous magnetization, the uniform static susceptibility $\chi_0$ as well as the correlation length $\xi$. Moreover, we discuss the specific heat $C_V$ and the temperature dependence of the excitation spectrum. As approaching the transition point $J_2^c$ some unusual features were found, such as negative spin-spin correlations at temperatures above $T_C$ even though the ground state is ferromagnetic or an increase of the spin stiffness with growing temperature.

cond-mat.stat-mech

Long-range FMR driven spin pumping through a nonmagnetic insulator

Ferromagnetic resonance (FMR) driven spin pumping is an emerging technique for injection of a pure spin current from a ferromagnet (FM) into a non-magnetic (NM) material without an accompanying charge current. It is widely believed that this pumping proceeds exclusively via a short-range exchange interaction at the FM/NM interface. Here we report robust, long-range spin pumping from the ferrimagnetic double perovskite Sr2FeMoO6 (SFMO) into Pt across an insulating barrier up to 200 nm thick, and systematically rule out all known spurious effects. This result demonstrates dynamic spin injection over a distance far beyond the coupling range of the exchange interaction, exposing the need to consider other coupling mechanisms. The characteristic length scale for magnetic textures in Sr2FeMoO6 is approximately 150 nm, resulting from structural antiphase boundaries, thus raising the possibility that magnetic dipole coupling underlies the observed long range spin transfer. This discovery reveals a route to dynamic angular momentum transfer between a FM and a NM in the absence of mediation by itinerant electrons and promises new spin-functional devices employing long-range spin pumping.

cond-mat.mtrl-sci