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We report the structural and magnetic properties of high-quality bulk single crystals kagome ferromagnet Fe$_3$Sn. The dependence magnetisation on magnitude orientation external field reveals strong easy-plane type uniaxial anisotropy, which shows a monotonous increase from $K_1=-0.99\times 10^6 J/m^3$ at 300\,K to $-1.23\times10^6 2\,K. Our \textit{ab initio} electronic structure calculations ...

In this work, we interpret the newly observed $\eta_1(1855)$ resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $I=0$ sector, reported by BESIII Collaboration, as a dynamically generated state from interaction between lightest pseudoscalar mesons and axial-vector mesons. The is derived lowest order chiral Lagrangian which Weinberg-Tomozawa term obtained, describing transition amplitudes a...

In [1], a most general higher curvature non-local gravity action was derived that admits particular $R^2$-like inflationary solution predicting the spectral index of primordial scalar perturbations $n_s(N)\approx 1-\frac{2}{N}$, where $N$ is number e-folds before end inflation, $N\gg 1$, any value tensor-to-scalar ratio $r(N)<0.036$ and tensor tilt $n_t(N)$ violating $r= -8n_t$ condition. this ...

Abstract The celebrated Fiat–Shamir transformation turns any public-coin interactive proof into a non-interactive one, which inherits the main security properties (in random oracle model) of version. While originally considered in context 3-move proofs, i.e., so-called $$\varSigma $$ Σ -protocols, it is now a...

We introduce the notion of complex chromatic number signed graphs as follows: given set $${\mathbb {C}}_{k,l}=\{\pm 1, \pm 2, \ldots , k\}\cup \{\pm 1i, 2i, li\}$$ where $$i=\sqrt{-1}$$ a graph $$(G,\sigma )$$ is said to be (k, l)-colorable if there exists mapping c vertices G {C}}_{k,l}$$ such that for every edge xy we have $$\begin{aligned} c(x)c(y)\ne \sigma (xy) |c(x)^2|. \end{aligned}$$ Th...

Abstract The well-known pumping lemma for regular languages states that, any language L , there is a constant p (depending on ) such that the following holds: If $$w\in L$$ w ∈ L and $$\vert w\vert \ge p$$ | ≥ p...

In this paper we study the backward stability of running a stable eigenstructure solver on pencil $$S(\lambda )$$ that is strong linearization rational matrix $$R(\lambda expressed in form )=D(\lambda )+ C(\lambda I_\ell -A)^{-1}B$$ , where $$D(\lambda polynomial and $$C(\lambda minimal state-space realization. We consider family block Kronecker linearizations which have following structure $$\...

Abstract The study of the $$\mathbf{4}$$ 4 -tachyon off-shell string scattering amplitude $$ A_4 (s, t, u) A ( s , t u ) , based on Witten’s open...