Monochromatic composite right/left handedness achieved in the quantized composite right/left handed transmission line

The macro composite right/left handedness (CRLH) accompanies the positive/negative refraction index in the higher, microwave frequency bands in the composite right/left handed transmission line (CRLH-TL), respectively. In this paper, we adjust the refraction index of a quantized CRLH-TL via the squeezed parameters and the electronic components' parameters in the thermal squeezed state, and the refraction index shows the positive/negative jumping around the squeezed angle $\varphi$=$\pi$ when it operates at a single frequency, and the similar result also arises while the refraction index is manipulated by the electronic components' parameters. The monochromatic CRLH achieved here breaks through the original definition in the macro CRLH-TL and provide a new implementation for the CRLH-TL.