Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary

We use invariance theory to determine the coefficient $a_{m+1,m}^{d+\delta}$ in the supertrace for the twisted de Rham complex with absolute boundary conditions.Comment: 19 pages, LaTeX, Theorem 1.2 correcte

Novel magnetic orderings in the kagome Kondo-lattice model

We consider the Kondo-lattice model on the kagome lattice and study its weak-coupling instabilities at band filling fractions for which the Fermi surface has singularities. These singularites include Dirac points, quadratic Fermi points in contact with a flat band, and Van Hove saddle points. By combining a controlled analytical approach with large-scale numerical simulations, we demonstrate that the weak-coupling instabilities of the Kondo-lattice model lead to exotic magnetic orderings. In particular, some of these magnetic orderings produce a spontaneous quantum anomalous Hall state.Comment: 15 pages, 11 figure

Raman Scattering Signatures of Kitaev Spin Liquids in A2_2 IrO3_3 Iridates

We study theoretically the Raman scattering response $I(\omega)$ in the gapless quantum spin liquid phase of the Kitaev-Heisenberg model. The dominant polarization-independent contribution $I_K (\omega)$ reflects the density of states of the emergent Majorana fermions in the ground-state flux-sector. The integrability-breaking Heisenberg exchange generates a second contribution, whose dominant part $I_H (\omega)$ has the form of a quantum quench corresponding to an abrupt insertion of four $Z_2$ gauge fluxes. This results in a weakly polarization dependent response with a sharp peak at the energy of the flux excitation accompanied by broad features, which can be related to Majorana fermions in the presence of the perturbed gauge field. We discuss the experimental situation and explore more generally the influence of integrability breaking for Kitaev spin liquid response functions.Comment: 9 pages including supp. ma

The Ursinus Weekly, October 9, 1939

Kellett\u27s gridders victorious over Delaware • Dr. William Volbrecht to address Wed. forum • Atkinson, Lawrence head Sr. week-end • Pre-legal society will hear Willauer • Len Mayfair\u27s orchestra will play for old timers\u27 dance • Prof. Karl Agan to speak at banquet • Music department has new recording system • Debate club tryouts in Freeland Hall tonight • Cooperation is keynote of Y\u27s, student councils • Second gridder on sale Friday; new features for Fathers\u27 Day • Curtis inst. quartet to play November 16 in Bomberger Hall • Snyder speaks at first vespers program of year Sunday night • College inaugurates improved freshman counseling program • New Ursinus students attain to standard of previous years • Nineteen new members are accepted into Curtain Club • Students attend fireside chats at Ursinus professors\u27 homes • Temple booters defeat Ursinus soccermen, 5-0 • Snell\u27s sticksters lose to Elkins Park lassieshttps://digitalcommons.ursinus.edu/weekly/1821/thumbnail.jp