Surface waves on the spin-1/2 quantum magnetoplasma half-space

Abstract

We present a theoretical investigation on the propagation of surface waves on the magnetized degenerate electron plasma half-space with spin effects. Using magnetohydrodynamic model with quantum effects due to the Bohm potential, Fermi degenerate pressure and electron spin, the dispersion relations of surface plasmon polaritons (SPPs) are derived. The dispersion relation of electrostatic surface waves is also obtained by taking electrostatic limit. IntroductionThe investigation on surface waves began with the pioneering theoretical works by Trivelpiece and Gould (1959). They restricted their attentions to electrostatic surface waves on cold cylindrical plasma columns. The effect of a finite temperature on the dispersion relation of electrostatic surface waves was studied by Ritchie (1963), who applied a simple hydrodynamical model, and Guernsey (1969), who adopted the kinetic theory. Vedenov provided a general dispersion relation without limiting to electrostatic approximation, which showed that in cold plasma half-space, surface plasma polaritons existed with frequencies ranging from ω spps → ω P / √ 2 down to ω spps = 0 (Vedenov 1965).Recently, the quantum plasmas has been a rapidly growing field of research due to its promising applications in quantum well (Manfredi and Hervieux 2007), plasmonics (Atwater 2007), spintronics (Wolf et al. 2001), astrophysics (Palmer et al. 2005) and ultra-cold plasmas (Robinson et al. 2000). Since the surface plasmon is the collective electrostatic excitation of free electrons near a plasma dielectric surface, the quantum effects will consequentially affect the propagation properties of the surface plasmon. The surface plasmon (SP)-polariton (SPP) on the vacuum-quantum plasma or quantum plasma-quantum plasma interface have aroused wide attention. Relevant researches include surface Langmuir oscillations in semi-bounded quantum plasmas (Chang and Jung 2008), electrostatic/electromagnetic modes on the quantum plasma half-space (Lazar et al. 2007), propagation of the transverse electric surface modes on semi-bounded quantum plasma in the presence of external magnetic field (Mohamed 2010), self-excited surface plasmon polaritons at the interface of counterstreaming plasmas (Lazar et al. 2009), and the surface waves on the relativistic quantum plasma half-space (Zhu et al. 2013). Meanwhile, some works on wave phenomena in bounded plasmas are investigated by the Trivelpiece-Gould (TG) modes in cylindrical geometry, such as rotating field confinement of pure electron plasmas using TG Modes (Anderegg et al. 1998), dispersion properties of Trivelpiece-Gould waves in periodic

Surface plasmon oscillations in a semi-bounded semiconductor plasma

“…Disregarding the CE effects from equation (15), one can obtain the same dispersion relation as obtained by Lazar et al [6] and the similar form in some previous work [17]. On the other hand, in the electrostatic limit, i.e., c ,  ¥ the first factor in equation (14) gives…”

“…In the previous investigations [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], the basic features of the surface waves in semi-bounded plasmas have been investigated under the influence of e.g., the quantum tunneling [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], the relativistic effects [12], the spin of fermions [14,15,22], the collisional effects [9,11], the nonlocality effects [16], the exchange effects [17][18][19][20][21] as well as the external magnetic field [7]. However, the effect of the external magnetic field ...…”

Surface plasma wave in spin-polarized semiconductor quantum plasma

“…Thus, the typical quantum effects such as the exchangecorrelation, the quantum fluctuation due to the density correlation, and the degenerate pressure will play a significant role in the electronic components to be constructed in future. In the previous investigations (Ritchie, 1963;Kaw and McBride, 1970;Lazar et al, 2007;Mohamed, 2010;Misra, 2011;Zhu, 2015), the basic features of the surface waves in semi-bounded plasmas have been investigated under the influence of the quantum tunneling (Shahmansouri, 2015;Moradi, 2017), relativistic effects (Zhu et al, 2013), spin fermions (Andreev and Kuzmenkov, 2016), the collisional effects (Khorashadizadeh et al, 2012), exchange effects (Shahmansouri, 2015;Moradi, 2017;Shahmansouri and Mahmodi, 2017), as well as the external magnetic field (Mohamed, 2010).…”

Boundary graphene layer effect on surface plasmon oscillations in a quantum plasma half-space

“…This is the case that makes the behavior of surface waves on quantum plasma half-space as an important issue in recent years. The fundamental properties of the surface waves in quantum plasma have been studied in the previous investigations [10,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] under the influence of e.g. the quantum tunneling [10,[20][21][22][23][24][25][26][27][28][29][30][31], external magnetic field [20][21][22], collisional effects [24,25], relativistic effects [26], spins [27][28][29][30], nonlocality effects [31] and exchange effects [17, 32 and 33].…”