Dispersion relations of longitudinal plasmons in one, two and three dimensional electron gas of metals

Plasma Science and Technology

Volumn 9, Issue 5, 2007, Pages 519-525

  Kong, Linghua ^a   Yan, Baorong ^a   Hu, Xiwei ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Low dimensional electron gas; Low dimensional electrostatic potential; Plasmon dispersion relation

Indexed keywords

APPROXIMATION THEORY; CARRIER CONCENTRATION; COULOMB BLOCKADE; ELECTRIC POTENTIAL; PLASMA FLOW; PLASMONS;

LONGITUDINAL PLASMONS; LOW-DIMENSIONAL ELECTRON GAS; LOW-DIMENSIONAL ELECTROSTATIC POTENTIAL; PLASMON DISPERSION RELATION;

ELECTRON GAS;

EID: 38549130399     PISSN: 10090630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1009-0630/9/5/01     Document Type: Article

References (44)

1. Tomonaga S 1950 Prog. Theor. Phys. 5 544
2. Bohm D, Pines D 1951 Phys. Rev. 82 625
3. Pines D, Bohm D 1952 Phys. Rev. 85 338
4. Bohm D, Pines D 1953 Phys. Rev. 92 609
5. Pines D 1953 Phys. Rev. 92 626
6. Lindhard J 1954 K. Dan. Vidensk. Mat. Fys. Medd. Selsk 8 1
7. Sziklas E A 1965 Phys. Rev. 138 A1070
8. Raether H 1980 Excitation of Plasmons and Interband Transition by Electrons, Berlin, Heidelberg, (New York: Springer-Verlag)
9. Allen S J, Tsui D C, Logan R A 1977 Phys. Rev. Lett. 38 980
10. Mast D B, Dahm A J, Fetter A L 1985 Phys. Rev. Lett. 54 1706
11. Theis T N, Kotthaus J P, Stiles P J 1978 Solid State Commun. 26 803
12. Ando T, Fowler A B, Stern F 1982 Rev. Mod. Phys. 54 437
13. Oelting S, Heitmann D, Kotthaus J P 1986 Phys. Rev. Lett. 56 1846
14. Demel T, Heitmann D, Grambow P, et al 1991 Phys. Rev. Lett. 66 2657
15. Goni A R, Pinczuk A, Weiner J S, et al 1991 Phys. Rev. Lett. 67 3298
16. Stern F 1967 Phys. Rev. Lett. 18 546
17. Chaplik A V 1972 Eksp Zh. Teor. Fiz. 62 746
18. Gold A 1987 Phys. Rev. B. 35 723
19. Huang F Y 1990 Phys. Rev. B 41 12957
20. Li Q, Sarma S D, Joynt R 1992 Phys. Rev. B. 45 13713
21. Mendoza B S, del Castillo-Mussot M, Mochan W L 1996 Phys. Rev. B. 53 1026
22. Hartmut H, Stephan W K 2004 Quantum Theory of the Optical and Electronic Properties of Semiconductors. 4rd edition (River Edge, NJ: World Scientific). p.137
23. Dressel M, Gruner G 2002 Electrodynamics of Solids (Cambridge: Cambridge University Press). p.81-87, 131, 453
24. Lindhard J, Scharff M 1961 Phys. Rev. 124 128
25. Pines D, Nozieres P 1989, The Theory of Quantum Liquids (New York: Addison-Wesley)
26. Eriksson M A, Pinczuk A, Dennis B S, et al 2000 Physica E 6 165
27. Beck D E,Kumar P 1976 Phys. Rev. B 13 2859
28. Jonson M 1976 J. Phys. C 9 3055
29. Studart N, Hipolito O 1980 Phys. Rev. A 22 2860
30. Ando T, Fowler A B, Stern F 1982 Rev. Mod. Phys. 54 437
31. Czachor A, Holas A, Sharma S R, et al 1982 Phys. Rev. B 25 2144
32. Neilson D, Sweierkowski L, Szymanski J, et al 1993 Phys. Rev. Lett. 71 4035
33. Bloch F 1933 Z. Phys. 81 363
34. Maytorena J A, Mochan W L, Mendoza B S 1998 Phys. Rev. B 57 2580
35. Burke K, Schaich W L 1993 Phys. Rev. B 48 14599
36. Sarma S D, Lai W Y 1985 Phys. Rev. B 32 1401
37. Tokatly I, Pankratov O 1999 Phys. Rev. B 60 15550
38. Rudin S, Dyakonov M 1997 Phys. Rev. B 55 4684
39. Ma Tengcai, Hu Xiwei, Chen Yinhua 1988 The Principle of Plasma Physics (Hefei: University of Science and Technology of China Press) p.266 (in Chinese)
40. Wheelon A D 1968 Tables of Summable Series and Integrals Involving Bessel Functions (New York: HoldenDay). p.84
41. Gradshteyn I S, Ryzhik I M 2000, Table of Integrals, Series, and Products, sixth edition. (San Diego, USA: Academic). p.338, 664
42. Landau L D, Lifshitz E M. 1978, Fluid Mechanics. (Oxford: Pergamon). p.318
43. Benett A J 1970 Phys. Rev. B 1 203
44. Sarma S D, Hwang E H 1996 Phys. Rev. B 54 1936