摘要Lattice waves including a longitudinal wave and a transverse wave in two-dimensional hexagonal quantum plasma crystals are investigated by using the modified Debye-Hückel screening potential. It is shown that there exists an unstable region of lattice parameters, where the system will melt. The general dispersion relations are derived, and the waves propagating parallel to a primitive translation vector are discussed. We find that both the longitudinal and transverse waves are acoustic-like, and the longitudinal wave has a greater sound speed than that of the transverse wave in the long wavelength limit region.
Abstract：Lattice waves including a longitudinal wave and a transverse wave in two-dimensional hexagonal quantum plasma crystals are investigated by using the modified Debye-Hückel screening potential. It is shown that there exists an unstable region of lattice parameters, where the system will melt. The general dispersion relations are derived, and the waves propagating parallel to a primitive translation vector are discussed. We find that both the longitudinal and transverse waves are acoustic-like, and the longitudinal wave has a greater sound speed than that of the transverse wave in the long wavelength limit region.
[1] Markowich P A, Ringhofer C and Schmeiser C 1990 Semiconductor Equations (Vienna: Springer) [2] Jung Y D 2002 Phys. Plasmas 8 3842 [3] Kremp D, Bornath T, Bonitz M and Shlanges M 1999 Phys. Rev. E 60 4725 [4] Hass F, Garcia L G, Goedert J and Manfred G 2003 Phys. Plasmas 10 3858 [5] Sahu B and Roychoudhury R 2007 Phys. Plasmas 14 012304 [6] Ali S, Moslem W M, Shukla P K and Schlicheiser R 2007 Phys. Plasmas 14 082307 [7] Mahmood S and Mushtaq A 2008 Phys. Lett. A 372 3467 [8] Ren H, Wu Z and Chu P K 2007 Phys. Plasmas 14 062102 [9] Wei L and Wang Y N 2007 Phys. Rev. B 75 193407 [10] Shukla P K and Ali S 2005 Phys. Plasmas 12 114502 [11] EI-Taibany W F and Wadati M 2007 Phys. Plasmas 14 042302 [12] Salimullah M, Zeba I, Uzma Ch, Shah H A and Murtaza G 2008 Phys. Lett. A 372 2291 [13] Masood W, Mushtaq A and Khan R 2007 Phys. Plasmas 14 123702 [14] Haas F, Manfredi G and Feix M 2000 Phys. Rev. E 62 2763 [15] Filinov V S, Fehske H, Bonitz M, Fortov V E and Levashov P 2008 Phys. Lett. A 372 5208 [16] Liu G, Zhao Y, Zheng K, Liu Z, Ma W, Ren Y, Xie S and Sun L 2009 Nano Lett. 9 239 [17] Ali S and Shukla P K 2006 Phys. Plasmas 13 102112 [18] Shukla P K and Eliasson B 2008 Phys. Lett. A 372 2897 [19] Farokhi B, Kourakis I and Shukla P K 2006 Phys. Lett. A 355 122 [20] Wang X, Bhattacharjee A and Hu S 2001 Phys. Rev. Lett. 86 2569 [21] Wang X, Liu Y, Bhattacharjee A and Hu S 2001 Thin Solid Films 390 228 [22] Sun X X, Wang C H and Wang X G 2007 Chin. Phys. Lett. 24 771
2010, Vol. 27 
