We have measured optical second-harmonic generation (SHG) from atomically thin samples of MoS2 and h-BN with one to five layers. We observe strong SHG from materials with odd layer thickness, for which a noncentrosymmetric structure is expected, while the centrosymmetric materials with even layer thickness do not yield appreciable SHG. SHG for materials with odd layer thickness was measured as ...

Throughout this paper, every groups are finite. The prime graph of a group $G$ is denoted by $Gamma(G)$. Also $G$ is called recognizable by prime graph if for every finite group $H$ with $Gamma(H) = Gamma(G)$, we conclude that $Gcong H$. Until now, it is proved that if $k$ is an odd number and $p$ is an odd prime number, then $PGL(2,p^k)$ is recognizable by prime graph. So if $k$ is even, the r...

We study a strong f-electron localization effect on the surface state of generic topological Kondo insulator (TKI) system by performing mean-field theoretic (MFT) calculation within framework periodic Anderson model (PAM) using slave boson technique. The metallicity, together with bulk insulation, requires this type localization. A key distinction between states in conventional and is that, alo...

Stokesian Dynamics is a well-established computational method for simulating dynamics of many particles suspended in conventional passive fluid medium such as water. Active fluids composed self-driving microscopic with broken time reversal symmetry permit the emergence so-called odd viscosity. In this work, we extended formalism to incorporate additional hydrodynamic effects due viscosity under...

An odd Sugihara monoid is a residuated distributive latticeordered commutative idempotent monoid with an order-reversing involution that fixes the monoid identity. The main theorem of this paper establishes a category equivalence between odd Sugihara monoids and relative Stone algebras. In combination with known results, it swiftly determines which varieties of odd Sugihara monoids are [strongl...