We report results of a multi-frequency (0.8-60 GHz) electron spin resonance study of the spin dynamics in the quasi-2D square lattice antiferromagnet Ba$_2$MnGe$_2$O$_7$ both in antiferromagnetically ordered and paramagnetic phases. We directly observe two zero-field gaps in the excitation spectrum of the ordered phase, the larger one being due to easy-plane anisotropy, and the smaller one indicates the presence of fourth-order in-plane anisotropy probably related to the multiferroic properties of this compound. We observe effects of hyperfine interaction on the electron spin resonance spectra in the antiferromagnetically ordered state, which turns out to be comparable with in-plane anisotropy. The hyperfine field strength is found from the observed low-temperature electron spin resonance data. The spin dynamics of the paramagnetic phase is characterized by strong broadening of the ESR absorption line, which can be ascribed to the vortex dynamics of a 2D magnet.

V. N. Glazkov Yu. V. Krasnikova I. K. Rodygina H. -A. Krug von Nidda T. Masuda

Recently, a new definition of $\mathbb P$-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of $\mathbb P$-functors are again $\mathbb P$-functors, the analogue being true for spherical functors. We give geometric examples involving the Hilbert scheme of points on a surface that yield a negative answer.

Andreas Hochenegger Andreas Krug

Positron annihilation experiments on an laboratory scale depend on the supply and the availability of $\beta^+$ emitters. Here we present the production of positron sources based on the $^{27}$Al(p,x)$^{22}$Na reaction by irradiation of Al with a 68\,MeV proton beam. We simulated the energy loss, range and radial scattering of the protons in Al in order to design a simple target consisting of a stack of Al discs. Our approach allows (i) the direct use of the Al discs as positron emitters that inherently avoids wet chemical processes as usually applied in commercial production of carrier-free $^{22}$Na, (ii) the production of multiple positron sources at once, and (iii) the simple measurement of the depth and lateral distribution of $^{22}$Na. We precisely determined the cross section of the $^{27}$Al(p,x)$^{22}$Na reaction which was found to differ from literature values particularly for proton energies between 27 and 40\,MeV. The activity of all nuclides produced (apart from $^{22}$Na) was shown to be negligible 15 days after irradiation. The production of radionuclides such as $^{48}$Sc, $^{54}$Mn and $^{56}$Co can be prevented by using Al of a higher purity. The concept presented here can easily be adapted for the production of stronger $^{22}$Na sources by increasing the proton current or/and the irradiation time.

Lisa-Marie Krug Leon Cryssos Juergen Bundesmann Alina Dittwald Georgios Kourkafas Andrea Denker Christoph Hugenschmidt

We present an analysis on Physics Club's supremacy over the Astronomy Club at the University of Arizona. Through a thorough investigation of each club's history and content, and subsequent diligent calculations, we have proven without a doubt that the Physics Club is superior to Astronomy Club.

E. Jesina M. Harrison H. Andras-Letanovszky D. Krug A. Golinkin B. Kohn T. Brown A. Rose P. Chiploonkar

Daily precipitation time series are composed of null entries corresponding to dry days and nonzero entries that describe the rainfall amounts on wet days. Assuming that wet days follow a Bernoulli process with success probability $p$, we show that the presence of dry days induces negative correlations between record-breaking precipitation events. The resulting non-monotonic behavior of the Fano factor of the record counting process is recovered in empirical data. We derive the full probability distribution $P(R,n)$ of the number of records $R_n$ up to time $n$, and show that for large $n$, its large deviation form coincides with that of a Poisson distribution with parameter $\ln(p\,n)$. We also study in detail the joint limit $p \to 0$, $n \to \infty$, which yields a random record model in continuous time $t = pn$.

Satya N. Majumdar Philipp von Bomhard Joachim Krug

The spreading of density fluctuations in two-dimensional driven diffusive systems is marginally anomalous. Mode coupling theory predicts that the diffusivity in the direction of the drive diverges with time as $(\ln t)^{2/3}$ with a prefactor depending on the macroscopic current-density relation and the diffusion tensor of the fluctuating hydrodynamic field equation. Here we present the first numerical verification of this behavior for a particular version of the two-dimensional asymmetric exclusion process. Particles jump strictly asymmetrically along one of the lattice directions and symmetrically along the other, and an anisotropy parameter $p$ governs the ratio between the two rates. Using a novel massively parallel coupling algorithm that strongly reduces the fluctuations in the numerical estimate of the two-point correlation function, we are able to accurately determine the exponent of the logarithmic correction. In addition, the variation of the prefactor with $p$ provides a stringent test of mode coupling theory.

Joachim Krug Robert A. Neiss Andreas Schadschneider Johannes Schmidt

We investigate the magnetic properties of the multiferroic quantum-spin system LiCu$_2$O$_2$ by electron spin resonance (ESR) measurements at $X$- and $Q$-band frequencies in a wide temperature range $(T_{\rm N1} \leq T \leq 300$\,K). The observed anisotropies of the $g$ tensor and the ESR linewidth in untwinned single crystals result from the crystal-electric field and from local exchange geometries acting on the magnetic Cu$^{2+}$ ions in the zigzag-ladder like structure of LiCu$_2$O$_2$. Supported by a microscopic analysis of the exchange paths involved, we show that both the symmetric anisotropic exchange interaction and the antisymmetric Dzyaloshinskii-Moriya interaction provide the dominant spin-spin relaxation channels in this material.

Zakir Seidov Tatiana P. Gavrilova Rushana M. Eremina Leonid E. Svistov Alexander A. Bush Alois Loidl Hans-Albrecht Krug von Nidda

The system Ag[Li$_{1/3}$Mn$_{2/3}$]O$_{2}$ belongs to a quaternary 3R-delafossite family and crystallizes in a monoclinic symmetry with space group $C\,2/m$ and the magnetic Mn$^{4+}$($S=3/2$) ions form a honeycomb network in the $ab$-plane. An anomaly around 50 K and the presence of antiferromagnetic (AFM) coupling (Curie-Weiss temperature $\theta_{CW}\sim-51$ K) were inferred from our magnetic susceptibility data. The magnetic specific heat clearly manifests the onset of magnetic ordering in the vicinity of 48\,K and the recovered magnetic entropy, above the ordering temperature, falls short of the expected value, implying the presence of short-range magnetic correlations. The (ESR) line broadening on approaching the ordering temperature $T_{{\rm N}}$ could be described in terms of a Berezinski-Kosterlitz-Thouless (BKT) scenario with $T_{{\rm KT}}=40(1)$ K. $^{7}$Li NMR line-shift probed as a function of temperature tracks the static susceptibility (K$_{iso}$) of magnetically coupled Mn$^{4+}$ ions. The $^{7}$Li spin-lattice relaxation rate (1/$T$$_{1}$) exhibits a sharp decrease below about 50 K. Combining our bulk and local probe measurements, we establish the presence of an ordered ground state for the honeycomb system Ag$_{3}$LiMn$_{2}$O$_{6}$.Our ab-initio electronic structure calculations suggest that in the $ab$-plane, the nearest neighbor (NN) exchange interaction is strong and AFM, while the next NN and the third NN exchange interactions are FM and AFM respectively. In the absence of any frustration the system is expected to exhibit long-range, AFM order, in agreement with experiment.

R. Kumar Tusharkanti Dey P. M. Ette K. Ramesha A. Chakraborty I. Dasgupta R. Eremina Sándor Tóth A. Shahee S. Kundu M. Prinz-Zwick A. A. Gippius H. A. Krug von Nidda N. Büttgen P. Gegenwart A. V. Mahajan

The temperature dependence of the electron-spin resonance linewidth in La0.95Sr0.05MnO3 has been determined and analyzed in the paramagnetic regime across the orbital ordering transition. From the temperature dependence and the anisotropy of linewidth and $g$-value the orbital order can be unambiguously determined via the mixing angle of the wave functions of the $e_{\rm g}$-doublet. The linewidth shows a similar evolution with temperature as resonant x-ray scattering results.

J. Deisenhofer B. I. Kochelaev E. Shilova A. M. Balbashov A. Loidl H. -A. Krug von Nidda

The fraction of the paramagnetic phase surviving at the impurity-induced antiferromagnetic order transition of the doped spin-Peierls magnet Cu(1-x)Mg(x)GeO3 (x < 5%) is found to increase with an external magnetic field. This effect is qualitatively explained by the competition of Zeeman energy and exchange interaction between local antiferromagnetic clusters

V. N. Glazkov A. I. Smirnov H. -A. Krug von Nidda A. Loidl K. Uchinokura T. Masuda