In this work, we follow that idea to investigate the quasi onedimensional system of metallic carbon nanotubes. Due to the linear dispersion law, the non-interacting Bose and Fermi gases in metallic carbon nanotubes are equivalent. This equivalence could be applied to the gas systems of exciton photon (Bose particles) and electron hole (Fermi particles) in metallic carbon nanotubes. | Communications in Physics, Vol. 24, No. 3S2 (2014), pp. 146-150 DOI: THERMODYNAMIC EQUIVALENT BETWEEN NON- INTERACTING BOSE AND FERMI GAS IN METALLIC CARBON NANOTUBES PHAM THI KIM HANG, CHU THUY ANH, PHAM VAN DIEN, TRAN THI THANH VAN, NGUYEN TRI LAN AND NGUYEN AI VIET Institute of Physics, Vietnam Academy of Science and Technology E-mail: ctanh@ Received 20 June 2014 Accepted for publication 20 August 2014 Abstract. The equivalent between Bose and Fermi ideal gases is usually taken in high temperature limit only. Recently, there has been considerable interest in surprising thermodynamic “equivalences” between certain ideal Bose and spineless Fermi gas systems in lower temperature. In this work, we follow that idea to investigate the quasi onedimensional system of metallic carbon nanotubes. Due to the linear dispersion law, the non-interacting Bose and Fermi gases in metallic carbon nanotubes are equivalent. This equivalence could be applied to the gas systems of exciton photon (Bose particles) and electron hole (Fermi particles) in metallic carbon nanotubes. Keywords: carbon nanotube, statistic physics, nano material, distribution function. I. INTRODUCTION We all know that they are quite different the Bose and Fermi gases, and some “equivalences” between them could be introduced in the presence of certain conditions, including temperature limitation. This equivalence is usually taken in high temperature limit only. It has been known that at low temperature, ideal gases have a peculiar dependence on the number of dimension d. For this reason, the two dimensional (2D) gases may well possess simpler properties than in the one dimensional (1D) gases [1]. The 2D ideal Bose and Fermi gases have the same specific heat at the same temperature [2]. Then, it has been shown that there exists a complete equivalence between the two gases in 2DciteLee. A little bit later, the role played by the spatial dimensionality d is also .
