This letter reports that adding nanoparticles in the negative dielectric anisotropic liquid crystal (LC) cell can exhibit the properties of vertical alignment without using alignment layers. The electro-optical properties of this nanoparticles-induced vertical alignment in the LC cell are very similar to the conventional homeotropic LC cell with alignment layers. This technique can be used to fabricate a flexible LC display requiring a low temperature process.

The spontaneous vertical alignment of the mixtures consisting of nematic liquid crystals (LCs) and nanoparticles and its application to hybrid-aligned nematic (HAN) modes were investigated. The LC directors were aligned perpendicular to the nontreated indium-tin-oxide surface by adding the nanoparticles. Therefore, we fabricated a nanoparticle-filled HAN LC cell without using the vertical alignment layer. The electro-optical properties of nanoparticle-filled HAN cells are very similar to those of conventional HAN cells containing vertical alignment layers. The method of nanoparticle-induced vertical alignment is suitable for fabricating a flexible display due to the reduction of high temperature process of alignment layers.

We consider the K-body local correlations in the (repulsive) 1D Bose gas for general K, both at finite size and in the thermodynamic limit. Concerning the latter we develop a multiple integral formula which applies for arbitrary states of the system with a smooth distribution of Bethe roots, including the ground state and finite-temperature Gibbs states. In the cases K ≤ 4 we perform the explicit factorization of the multiple integral. In the case of K = 3 we obtain the recent result of Kormos et al, whereas our formula for K = 4 is new. Numerical results are presented as well.

Abstract— Several leading technologies for flexible liquid‐crystal displays have been developed recently at ERSO. The roll‐to‐roll compatible techniques, polymer‐added liquid crystal, have been applied on a film‐like substrate. A flexible black‐and‐white cholesteric liquid‐crystal display was also implemented by photo‐induced phase separation. Color filters placed on a plastic substrate by a low‐temperature manufacturing process was successfully fabricated. A novel design of a wide‐viewing‐angle color plastic LCD was also proposed.