I. Introduction
Recently, single-crystal-fiber materials such as yttrium aluminium garnet (YAG) have emerged as a replacement of glass fibers for sensing applications [1]. Higher thermal conductivity and mechanical hardness [2], relatively narrow Raman signals [3], stronger damage threshold [4] as well as remarkable nonlinearity [5] are advantages of single-crystal materials compared with typical amorphous glass. Because of above advantages, single-crystal based optical fibers, or crystalline fibers, recently have attracted considerable interests [6]. However, fabrication of high-quality crystalline fibers with nanosized diameter is still challenging to date as result of limitation of growth technique.