The R&D for a new type of liquid xenon (LXe) detector is ongoing to search for the neutrinoless double-beta decay (0ν2β). As a result of the KamLAND-Zen experiment, it is very important to realize the all active region detector for the energy deposition of the radiation. Newly developed additional BG reduction techniques will improve the sensitivity of 0ν2β search in the future. Our detector concept is LXe stored in a new type of plastic scintillator vessel. The wavelength of LXe scintillation light is shifted to visible light from 175nm (VUV) on the inner surface of the vessel. Therefore, the LXe scintillation light can be detected by photon sensors which are far away from the 0ν2β target nuclei. The pulse shape difference between LXe and plastic scintillator is used for the additional BG reduction. In the future, 8 B solar neutrino events will be one of the dominant BGs in 0ν2β search. To reduce the 8 B solar neutrino BG, the directional information of the Cherenkov light might be useful. The status of LXe detector R&D to improve the sensitivity of 0ν2β search is reported.