Control of the magnetism and magnetic anisotropy of a single-molecule magnet with an electric field

Through systematics density functional calculations, the mechanism of the substrate induced spin reorientation transition in FePc/O-Cu(110) was explained in terms of charge transfer and rearrangement of Fe-d orbitals. Moreover, we found giant magnetoelectric effects in this system, manifested by the sensitive dependences of its magnetic moment and magnetic anisotropy energy on external electric field. In particular, the direction of magnetization of FePc/O-Cu(110) is switchable between in-plane and perpendicular axes, simply by applying an external electric field of 0.5 eV/{\AA} along the surface normal.Comment: 18 pages, 5 figure

A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids

A family of stable mixed finite elements for the linear elasticity on tetrahedral grids are constructed, where the stress is approximated by symmetric H(\d)-$P_k$ polynomial tensors and the displacement is approximated by $C^{-1}$-$P_{k-1}$ polynomial vectors, for all $k\ge 4$. Numerical tests are provided.Comment: 11. arXiv admin note: substantial text overlap with arXiv:1406.745

On the structure of cyclotomic nilHecke algebras

In this paper we study the structure of the cyclotomic nilHecke algebras \HH_{\ell,n}^{(0)}, where $\ell,n\in\N$. We construct a monomial basis for \HH_{\ell,n}^{(0)} which verifies a conjecture of Mathas. We show that the graded basic algebra of \HH_{\ell,n}^{(0)} is commutative and hence isomorphic to the center $Z$ of \HH_{\ell,n}^{(0)}. We further prove that \HH_{\ell,n}^{(0)} is isomorphic to the full matrix algebra over $Z$ and construct an explicit basis for the center $Z$. We also construct a complete set of pairwise orthogonal primitive idempotents of \HH_{\ell,n}^{(0)}. Finally, we present a new homogeneous symmetrizing form \Tr on \HH_{\ell,n}^{(0)} by explicitly specifying its values on a given homogeneous basis of \HH_{\ell,n}^{(0)} and show that it coincides with Shan--Varagnolo--Vasserot's symmetrizing form \Tr^{\text{SVV}} on \HH_{\ell,n}^{(0)}.Comment: Remove the scalar (-1)^{n(n-1)/2}, revise the Definition of Tr in 4.11 and the proof of 4.1