  Starting from the quantum fluctuation of current in the mesoscopic composite
right-left handed transmission line (CRLH-TL) in the thermal Fock state, we
investigate the left-handedness dependent of the frequencies, intensity and
quantum fluctuations of the current field in the CRLH-TL under different
thermal environment. The results show that the intensity and quantum
fluctuations of current field in lower frequency bands affect the
left-handedness distinctly under different thermal environment. The thermal
effect on the left-handedness in the mesoscopic CRLH-TL deserves further
experimental investigation in its miniaturization application.
