Nonreciprocal coherent coupling of nanomagnets by exchange spin waves

Nanomagnets are widely used to store information in non-volatile spintronic devices.Spin waves can transfer information with low-power consumption as their propagations are independent of charge transport.However,to dynamically couple two distant nanomagnets via spin waves remains a major challenge for magnonics.Here we experimentally demonstrate coherent coupling of two distant Co nanowires by fast propagating spin waves in an yttrium iron garnet thin film with sub-50 nm wavelengths.Magnons in two nanomagnets are unidirectionally phase-locked with phase shifts controlled by magnon spin torque and spin-wave propagation.The coupled system is finally formulated by an analytical theory in terms of an effective non-Hermitian Hamiltonian.Our results are attractive for analog neuromorphic computing that requires unidirectional information transmission.

Enzyme-like C-H Oxidation of Glucosides Promoted by Visible Light

To match nature’s prowess at using enzymes to make desired motifs in a regioselective fashion,we explore the use of visible light for the selective oxidation of the hydroxyl group to afford the corresponding ketosaccharide.This highly admirable approach offers several advantages over the enzymatic approach in terms of yields and the scope of substrates.Herein,we report the development of a simple visiblelight-promoted selective oxidation of unprotected glucosides that allows for inexpensive access to valuable keto-saccharide building blocks.The method is employed on a variety of different natural and artificial glucosides,is operationally simple and scalable,and can be used to access keto-saccharides rapidly and inexpensively.

Double Constructions of Compatible Associative Algebras

A compatible associative algebra is a pair of associative algebras satisfying that any linear combination of the two associative products is still an associative product.We construet a compatible associative algebra with a decomposition into the direct sum of the underlying vector space of another compatible associative algebra and its dual space such that both of them are subalgebras and the natural symmetrie bilinear form is invariant.This compatible associative algebra is equivalent to a certain bialgebra structure of compatible associative algebras,which is an analogue of a Lie bialgebra.Many properties of the bialgebra are presented.In particular,the coboundary bialgebra theory leads to the system of associative Yang-Bax ter equations in compatible associative algebras,which is an analogue of the classical Yang Baxter equation in a Lie algebra.Furthermore,the bialgebra can also be regarded as a“compatible version”of antisymmetric infinitesimal bialgebras,that is,a pair of antisymmetrie infinitesimal bialgebras satisfying any linear combination of them is still an antisymmetrie infinitesimal bialgebra.

Completable nilpotent Lie superalgebras

We discuss a class of filiform Lie superalgebras Ln,m. From these Lie superalgebras, all the other filiform Lie superalgebras can be obtained by deformations. We have decompositions of Der0（Ln,m） and Dery（Ln,m）. By computing a maximal torus on each Ln,m, we show that Ln,m are completable nilpotent Lie superalgebras. We also view Ln,m as Lie algebras, prove that Ln,m are of maximal rank, and show that Ln,m are completable nilpotent Lie algebras. As an application of the results, we show a Heisenberg superalgebra is a completable nilpotent Lie superalgebra.