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The binding energies of the charged excitons(negative X- and positive X+ excitons) are calculated using the finite-difference method within the quasi-one-dimensional effective potential model. The effects due to the magnetic filed and quantum confinements on the binding energy are analyzed, and the following results are obtained:(1) relative electron and hole harmonic oscillator confinement each have a strong effect on the stablity of charged excitons, the binding energy of X+ is not always larger than that of X-, e.g., due to the increase of the hole harmonic oscillator length, leading to the crossing of X+ and X- lines as recently observed experimentally;(2) the magnetic field leads to an increase of the binding energy, and the magnetic field dependence of the binding energy is related to the harmonic oscillator length.
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Keywords:
- charged exciton /
- quantum well wires /
- binding energy /
- magnetic field
[1] Ikezawa M, Nair Selvakumar V, Ren H W, Ren H W, Masumoto Y, Ruda H 2006 Phys. Rev. B 73 125321
[2] Chu Q J, Yin H W, Weng Y X 2007 Chin. Phys. 16 3052
[3] Zhang T Y, Zhao W 2008 Chin. Phys. B 17 4285
[4] Gao K, Xie S J, Li Y, Yin S, Liu D S, Zhao X 2009 Chin. Phys. B 18 2961
[5] Lampert M A 1958 Phys. Rev. Lett. 1 450
[6] Kheng K, Cox R T, Merle d' Aubigne Y, Bassani F, Saminadayar K, Tatarenko S 1993 Phys. Rev. Lett. 71 1752
[7] Shields A J, Pepper M, Ritchie D A, Simmons M Y, Jones G A C 1995 Phys. Rev. B 51 18049
[8] Chapman J R, Johnson N F, Nicopoulos V N 1997 Phys. Rev. B 52 R10221
[9] Shields A J, Bolton F M, Simmons M Y, Pepper Y, Ritchie D A 1997 Phys. Rev. B 55 R1970
[10] Wojs A, Szlufarska I, Kyung-SooY, Quinn J J 1999 Phys. Rev. B 60 R11273
[11] Riva C, Peeters F M, Varga K 2001 Phys. Rev. B 63 115302
[12] Peeters F M, Riva C, Vargab K 2001 Physica B 300 139
[13] Bracker A S, Stinaff E A, Gammon D, Ware M E, Tischler J G, Park D 2005 Phys. Rev. B 72 035332
[14] Stébé B, Munschy G 1975 Solid State Commu. 17 1051
[15] Riva C, Peeters F M, Varga K 2001 Phys. Rev. B 64 235301
[16] Riva C, Peeters F M, Varga K 2000 Phys. Rev. B 61 13873
[17] Shields A J, Osborne J L, Simmons M.Y, Ritchie D A 1995 Phys. Rev. B 52 R5523
[18] Glasberg S, Finkelstein G, Shtrikman H, Bar-Joseph I 1999 Phys. Rev. B 59 R10425
[19] Stebe B, Moradi A, Dujardin F 2000 Phys. Rev. B 61 7231
[20] Astakhov G V, Yakovlev D R, Kochereshko V P, Ossau W, Faschinger W, Puls J ,Henneberger F 2002 Phys. Rev. B 65 165335
[21] Kleinman D A 1983 Phys. Rev. B 28 871
[22] Liu J J, Kong X J, Liu Y 1998 J. Appl. Phys. 84 2638
[23] Liu J J, Chen X F, Li S S 2004 Chin. Phys. Lett. 21 2259
[24] Liu J J, Zhang S F, Li Y X, Kong X J 2001 Eur. Phys. J. B 19 17
[25] Zhang J B, Pang T, Chen C F 1995 Phys. Lett. A 206 101
[26] Filinov A V, Riva C, Peeters F M, Lozovik Y E, Bonitz M 2004 Phys. Rev. B 70 035323
[27] Li S S, Xia J B 2006 J. Appl. Phys. 100 083714
[28] Li S S, Xia J B 2008 Appl. Phys. Letts. 92 022102
[29] Birkedal D, Singh J, Lyssenko V G, Erland J, Hvam J M 1996 Phys. Rev. Lett. 76 672
[30] Singh J, Birkedal D, Lyssenko V G, Hvam J M 1996 Phys. Rev. B 53 15909
[31] Oh I K, Singh J 1999 Phys. Rev. B 60 2528
[32] Bednarek S, Szafran B,Chwiej T, Adamowski J 2003 Phys. Rev. B 68 045328
-
[1] Ikezawa M, Nair Selvakumar V, Ren H W, Ren H W, Masumoto Y, Ruda H 2006 Phys. Rev. B 73 125321
[2] Chu Q J, Yin H W, Weng Y X 2007 Chin. Phys. 16 3052
[3] Zhang T Y, Zhao W 2008 Chin. Phys. B 17 4285
[4] Gao K, Xie S J, Li Y, Yin S, Liu D S, Zhao X 2009 Chin. Phys. B 18 2961
[5] Lampert M A 1958 Phys. Rev. Lett. 1 450
[6] Kheng K, Cox R T, Merle d' Aubigne Y, Bassani F, Saminadayar K, Tatarenko S 1993 Phys. Rev. Lett. 71 1752
[7] Shields A J, Pepper M, Ritchie D A, Simmons M Y, Jones G A C 1995 Phys. Rev. B 51 18049
[8] Chapman J R, Johnson N F, Nicopoulos V N 1997 Phys. Rev. B 52 R10221
[9] Shields A J, Bolton F M, Simmons M Y, Pepper Y, Ritchie D A 1997 Phys. Rev. B 55 R1970
[10] Wojs A, Szlufarska I, Kyung-SooY, Quinn J J 1999 Phys. Rev. B 60 R11273
[11] Riva C, Peeters F M, Varga K 2001 Phys. Rev. B 63 115302
[12] Peeters F M, Riva C, Vargab K 2001 Physica B 300 139
[13] Bracker A S, Stinaff E A, Gammon D, Ware M E, Tischler J G, Park D 2005 Phys. Rev. B 72 035332
[14] Stébé B, Munschy G 1975 Solid State Commu. 17 1051
[15] Riva C, Peeters F M, Varga K 2001 Phys. Rev. B 64 235301
[16] Riva C, Peeters F M, Varga K 2000 Phys. Rev. B 61 13873
[17] Shields A J, Osborne J L, Simmons M.Y, Ritchie D A 1995 Phys. Rev. B 52 R5523
[18] Glasberg S, Finkelstein G, Shtrikman H, Bar-Joseph I 1999 Phys. Rev. B 59 R10425
[19] Stebe B, Moradi A, Dujardin F 2000 Phys. Rev. B 61 7231
[20] Astakhov G V, Yakovlev D R, Kochereshko V P, Ossau W, Faschinger W, Puls J ,Henneberger F 2002 Phys. Rev. B 65 165335
[21] Kleinman D A 1983 Phys. Rev. B 28 871
[22] Liu J J, Kong X J, Liu Y 1998 J. Appl. Phys. 84 2638
[23] Liu J J, Chen X F, Li S S 2004 Chin. Phys. Lett. 21 2259
[24] Liu J J, Zhang S F, Li Y X, Kong X J 2001 Eur. Phys. J. B 19 17
[25] Zhang J B, Pang T, Chen C F 1995 Phys. Lett. A 206 101
[26] Filinov A V, Riva C, Peeters F M, Lozovik Y E, Bonitz M 2004 Phys. Rev. B 70 035323
[27] Li S S, Xia J B 2006 J. Appl. Phys. 100 083714
[28] Li S S, Xia J B 2008 Appl. Phys. Letts. 92 022102
[29] Birkedal D, Singh J, Lyssenko V G, Erland J, Hvam J M 1996 Phys. Rev. Lett. 76 672
[30] Singh J, Birkedal D, Lyssenko V G, Hvam J M 1996 Phys. Rev. B 53 15909
[31] Oh I K, Singh J 1999 Phys. Rev. B 60 2528
[32] Bednarek S, Szafran B,Chwiej T, Adamowski J 2003 Phys. Rev. B 68 045328
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