Here, using density functional theory and matrix renormalization group methods, we investigate the electronic magnetic properties of RuOCl$_2$ OsOCl$_2$ with $d^4$ configurations. Different from a previous study VOI$_2$ $d^1$ configuration, these systems $4d^4$ or $5d^4$ do not exhibit ferroelectric instability along $a$-axis. Due to fully-occupied $d_{xy}$ orbital in OsOCl$_2$, Peierls distort...

In this paper we show that the Breitenlohner-Maison prescription for treating the presence of chiral symmetry in Dimensional Regularization fits remarkably well with the framework of noncommutative geometry. In fact, it corresponds to taking the cup product of spectral triples, with a specific spectral triple Xz whose dimension spectrum is a single complex number z. We give a realization of Xz ...

The perovskite ${\mathrm{SrRuO}}_{3}$ is a prototypical itinerant ferromagnet which allows interface engineering of its electronic and magnetic properties. We report the synthesis investigation atomically flat artificial multilayers with spin-orbit semimetal ${\mathrm{SrIrO}}_{3}$ in combination band-structure calculations Hubbard $U$ term topological analysis. latter reveal an reconstruction e...

The 2 to 300 K magnetic susceptibilities of Fe{N(SiMe2Ph)2}2, 1, Fe{N(SiMePh2)2}2, 2, and the diaryl complex Fe(Ar(Pr(i)4))2, 3, where Ar(Pr(i)4) is C6H3-2,6(C6H3-2,6-Pr(i)2)2 have been measured. Initial fits of these properties in the absence of an independent knowledge of their ligand field splitting have proven problematic. Ab initio calculations of the CASSCF/RASSI/SINGLE-ANISO type have in...

(Monooxooctaethylchlorinato)iron(III) chloride, (oxo-OEC)FeCl, 1, has been investigated by X-ray crystallography and by 1H NMR spectroscopy. Its bis(imidazole-d4) complex has been studied by multidimensional 1H NMR and EPR spectroscopies, and the results are compared to those for the bis(Im-d4) complex of (octaethylchlorinato)iron(III) chloride, (OEC)FeCl, 2. EPR and NMR results show that both ...

In this article, we prove that for a type of continuous two-parameter Gaussian process Xz, the quasi sure limit of the form 2n−1 ∑

Let A be finite dimensional algebra over the reals R. A is said to be commutative if ∀x, y xy = yx. The it is customary to introduce for x, y ∈ A the quantity C(x, y) =: [x, y] =: xy − yx, called the commutator. Similarly, one says that A is associative if ∀x, y, z x(yz) = y(xz). In this case one introduces, similarly or x, y ∈ A the quantity A(x, y, z) =: [x, y, z] =: x(yz)− y(xz), called the ...

The equal contributors statement should read: “XH and ESS are Joint first authors. HMK and LJ are Joint senior authors.” The ‘Contributions’ section at the end of the paper should read: “ESS, XZ, MLI, JL, XL, LJ, JAS, FAM, HMK, LJ: study concept and design; All authors except XY, HZ are involved in designing the study text messages; XH, XZ, HZ, XY, XL are involved in the implementation of the p...

The symmetry of thewavefunction describing the Cooper pairs is one of the most fundamental quantities in a superconductor, but for iron-based superconductors it has proved to be problematic to determine, owing to their complex multi-band nature1–3. Here we use a first-principles many-body method, including the two-particle vertex function, to study the spin dynamics and the superconducting pair...