1Department of Applied Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 2100162National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
Phonon Transmission and Thermal Conductance in Fibonacci Wire at Low Temperature
ZHANG Yong-Mei 1,2;XU Chen-Hua 1;XIONG Shi-Jie 2
1Department of Applied Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 2100162National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
摘要We investigate the phonon transmission and thermal conductance in a general Fibonacci quasicrystal by the model of lattice dynamics and the technique of transfer matrix. It is found that quasiperiodic distribution of masses may greatly destroy the phonon transport at both low and high frequencies and thus may affect the thermal conductance. The thermal conductance increases with temperature at low temperatures and displays saturation with further increase of the temperature. Such saturation behaviour is preserved even when the mass ratio of atoms in the Fibonacci chain is changed.
Abstract：We investigate the phonon transmission and thermal conductance in a general Fibonacci quasicrystal by the model of lattice dynamics and the technique of transfer matrix. It is found that quasiperiodic distribution of masses may greatly destroy the phonon transport at both low and high frequencies and thus may affect the thermal conductance. The thermal conductance increases with temperature at low temperatures and displays saturation with further increase of the temperature. Such saturation behaviour is preserved even when the mass ratio of atoms in the Fibonacci chain is changed.
[1] Terrano M, Peyrard M and Casati G 2002 Phys. Rev. Lett. 88 094302 [2] Li B, Wang L and Casati G 2004 Phys. Rev. Lett. 93 184301 [3] Yao Z, Wang J S, Li B and Liu G R 2005 Phys. Rev. B 71 085417 [4] Rego L G C and Kirczenow G 1998 Phys. Rev. Lett. 81 232 [5] Schwab K, Henriksen E A, Worlock J M and Roukes M L 2000 Nature 404 974 [6] Li W X, Chen K Q et al 2004 Appl. Phys. Lett. 85 822 [7] Xiao Y, Yan X H, Cao J X, Mao Y L, Deng Y X, Ding J W 2004 Chin. Phys. Lett. 21 517 [8] Zhang Y M and Xiong S J 2005 Phys. Rev. B 72 115305 [9] Zink B L, Pietri R and Hellman F 2006 Phys. Rev. Lett. 96 055902 [10] Kengne E and Liu W M 2006 Phys. Rev. B 73 026603 [11] He L X, Wu Y K and Kuo K H 1988 J. Mater. Sci. Lett. 7 1284 [12] Chernikov M A, Bianchi A and Ott H R 1995 Phys. Rev.B 51 153 [13] Peng R W et al 1999 Phys. Rev. B 59 3599 [14] Zhang Y Y and Xiong S J 2005 Phys. Rev. B 72 132202 [15] Maci\'{a E 2000 Phys. Rev. B 61 6645 [16] Beenakker C W J 1997 Rev. Mod. Phys. 69 731 [17] Madelung O 1980 Introduction to Solid State Theory(New York: Springer) chap 9
2007, Vol. 24 
