Abstract
Using quantum hydrodynamic (QHD) model and standard reductive perturbation method, we have investigated the formation and characteristics of space-charge solitary waves and double layers in n-type compensated drifting semiconductor plasma with varying doping profiles. Through numerical analysis, it is shown that the structures of space-charge solitary waves and double layers depend significantly on electron drift and compensation parameter which measures a comparative proportion of the donor, acceptor and intrinsic ion concentrations.
Similar content being viewed by others
References
O A Egorov, D V Skryabin, A V Yulin and F Lederer, Phys. Rev. Lett. 102, 153904 (2009)
K Kumabe and H Kanbe, Int. J. Electron. 58, 587 (1985)
A G Barrientos and V Palankovskib, Mater. Sci. Engng B 176, 1368 (2011)
L F Mollenauer, R H Stolen and J P Gordon, Phys. Rev. Lett. 45, 1095 (1980)
B A Kalinikos, N G Kovshikov and A N Slavin, JETP Lett. 38, 413 (1983)
B A Kalinikos, N G Kovshikov and A N Slavin, Sov. Phys. JETP 67, 303 (1988)
S Guha and P K Sen, J. Appl. Phys. 50, 5387 (1979)
G Sharma and S Ghosh, Eur. Phys. J. D 11, 301 (2000)
C M Cuesta and C Schmeiser, SIAM J. Appl. Math. 68, 1423 (2008)
M Pawlik and G Rowlands, J. Phys. C: Solid State Phys. 8, 1189 (1975)
L Bonilla, SIAM J. Appl. Math. 51, 727 (1991)
G Couton, H Maillotte and M Chauvet, J. Opt. B: Quantum Semiclass. Opt. 6, S223 (2004)
V I Berezhiani, V Skarka and R Miklaszewski, Phys. Rev. B 57, 6251 (1998)
E Pic and M Ligeon, Phys. Status Solidi A 23, 409 (1974)
C L Gardner and C Ringhofer, VLSI Des. 8, 143 (1998)
M M Murname, H C Kapteyn, M D Rosen and R W Falcone,Science 251, 531 (1991)
A Amo, J Lefrère, S Pigeon, C Adrados, C Ciuti, I Carusotto, R Houdré, E Giacobino and A Bramati, Nat. Phys. 5, 805 (2009)
A A Barybin and A I Mikhailov, Tech. Phys. 48, 761 (2003)
M R Amin, Phys. Plasmas 22, 032303 (2015)
M R Amin, J. Appl. Phys. 107, 023307 (2010)
A H W Beck, Space–charge waves and slow electromagnetic waves (Pergamon, New York, 1958)
R H Dean, Electron. Lett. 6, 775 (1970)
V Grimalsky, E Gutierrez, A Garcia and S Koshevaya, Microelectron. J. 37, 395 (2006)
S Banerjee and B Ghosh, Ind. J. Phys. 91(4), 461 (2017)
K Saeki, S Iizuka and N Sato, Phys. Rev. Lett. 45, 1853 (1980)
D E Baldwin and B G Logan, Phys. Rev. Lett. 43, 1318 (1979)
T Cho, M Hirata, J Kohagura, K Yatsu, T Tamano and R T Snider, Rev. Sci. Instrum. 66, 540 (1995)
R Minami, T Imai, T Kariya, T Numakura, T Eguchi, R Kawarasaki, K Nakazawa, T Kato, F Sato, H Nanzai, M Uehara, Y Endo and M Ichimura, Rev. Sci. Instrum. 85, 11D807 (2014)
R Minami, T Imai, T Kariya, T Numakura, M Uehara, K Tsumura, Y Ebashi, S Kajino, Y Endo and Y Nakashima, Rev. Sci. Instrum. 87, 11E306 (2016)
G Manfredi and F Haas, Phys. Rev. B 64, 075316 (2001)
B Xie and K He, Phys. Plasmas 6, 3808 (1999)
S G Tagare, Phys. Plasmas 4, 3167 (1997)
S R Sreenivasan and M B Schroeder, Plasma Phys. 25, 925 (1983)
M Uehara, K K Sakane, H S Maciel and W I Urruchi, Am. F Phys. 68, 450 (2000)
W I Urruchi, H S Maciel, G Petraconi and C Otani, J. Tech. Phys. 40, 419 (1999)
Acknowledgements
The authors are grateful to the referee for giving some constructive suggestions which improved the presentation of this work.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Banerjee, S., Ghosh, B. Space-charge solitary waves and double layers in n-type compensated semiconductor quantum plasma. Pramana - J Phys 90, 42 (2018). https://doi.org/10.1007/s12043-018-1531-3
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-018-1531-3
Keywords
- Quantum hydrodynamic model
- space-charge solitary waves and double layers
- KdV and mKdV equations
- electron–hole quantum plasma