Charge structure factors of doped armchair nanotubes in the presence of electron-phonon interaction

doi:10.1088/1674-1056/ab942e

中国物理B ›› 2020, Vol. 29 ›› Issue (9): 96501-096501.doi: 10.1088/1674-1056/ab942e

Charge structure factors of doped armchair nanotubes in the presence of electron-phonon interaction

Hamed Rezania, Farshad Azizi

Department of Physics, Razi University, Kermanshah, Iran

收稿日期:2020-04-17 修回日期:2020-05-13 接受日期:2020-05-19 出版日期:2020-09-05 发布日期:2020-09-05
通讯作者: Hamed Rezania E-mail:rezania.hamed@gmail.com

Charge structure factors of doped armchair nanotubes in the presence of electron-phonon interaction

Hamed Rezania, Farshad Azizi

Department of Physics, Razi University, Kermanshah, Iran

Received:2020-04-17 Revised:2020-05-13 Accepted:2020-05-19 Online:2020-09-05 Published:2020-09-05
Contact: Hamed Rezania E-mail:rezania.hamed@gmail.com

摘要/Abstract

摘要： We present the behaviors of both dynamical and static charge susceptibilities of doped armchair nanotubes using the Green function approach in the context of Holstein-model Hamiltonian. Specially, the effects of magnetization and gap parameter on the the plasmon modes of armchair nanotube are investigated via calculating correlation function of charge density operators. Random phase approximation has been implemented to find the interacting dynamical charge susceptibility. The electrons in this systems interacts with each other by mediation of dispersionless Holstein phonons. Our results show that the increase of gap parameter leads to decreasing intensity of charge collective mode. Also the frequency position of the collective mode tends to higher frequencies due to the gap parameter. Furthermore the number of collective excitation mode decreases with chemical potential in the presence of electron-phonon interaction. Finally the temperature dependence of static charge structure factor of armchair nanotubes is studied. The effects of the gap parameter, magnetization and electron-phonon interaction on the static structure factor are addressed in details.

关键词: armchair nanotube, Green', s function

Abstract: We present the behaviors of both dynamical and static charge susceptibilities of doped armchair nanotubes using the Green function approach in the context of Holstein-model Hamiltonian. Specially, the effects of magnetization and gap parameter on the the plasmon modes of armchair nanotube are investigated via calculating correlation function of charge density operators. Random phase approximation has been implemented to find the interacting dynamical charge susceptibility. The electrons in this systems interacts with each other by mediation of dispersionless Holstein phonons. Our results show that the increase of gap parameter leads to decreasing intensity of charge collective mode. Also the frequency position of the collective mode tends to higher frequencies due to the gap parameter. Furthermore the number of collective excitation mode decreases with chemical potential in the presence of electron-phonon interaction. Finally the temperature dependence of static charge structure factor of armchair nanotubes is studied. The effects of the gap parameter, magnetization and electron-phonon interaction on the static structure factor are addressed in details.

Key words: armchair nanotube, Green's function

中图分类号: (Thermal properties of graphene)

65.80.Ck

71.10.Fd (Lattice fermion models (Hubbard model, etc.)) 71.22.+i (Electronic structure of liquid metals and semiconductors and their Alloys)

Hamed Rezania, Farshad Azizi. Charge structure factors of doped armchair nanotubes in the presence of electron-phonon interaction[J]. 中国物理B, 2020, 29(9): 96501-096501.

Hamed Rezania, Farshad Azizi. Charge structure factors of doped armchair nanotubes in the presence of electron-phonon interaction[J]. Chin. Phys. B, 2020, 29(9): 96501-096501.

参考文献 34

[1]	Iijima S 1991 Nature 354 56 doi: 10.1038/354056a0
[2]	Saito R, Dresselhaus G and Dresselhaus M S 1998 Physical Properties of Carbon Nanotubes (London: Imperial College Press) p. 305
[3]	Hamada N, Sawada S and Oshiyama A 1992 Phys. Rev. Lett. 68 631 doi: 10.1103/PhysRevLett.68.631
[4]	Bethune D S, Kiang C H, de Vries M S, Gorman G, Savoy R, Vazquez J, Beyers R 1993 Nature 363 605 doi: 10.1038/363605a0
[5]	Gao L, Zhou X and Ding Y 2007 Chem. Phys. Lett. 434 297 doi: 10.1016/j.cplett.2006.12.036
[6]	Zhang Y, Wang F C and Zhao Y P 2012 Comput. Materials Science 62 87 doi: 10.1016/j.commatsci.2012.04.050
[7]	Martel R, Schmidt T, Hertel H R and Avouris A R 1998 Appl. Phys. Lett. 73 2447 doi: 10.1063/1.122477
[8]	Derycke V, Martel R, Appenzeller J and Avouris P 2001 Nano Lett. 1 453 doi: 10.1021/nl015606f
[9]	Durkop T, Getty S A, Cobas E and Fuhrer M S 2004 Nano Lett. 4 35 doi: 10.1021/nl034841q
[10]	Aktruck A and Goldman N 2008 J. Appl. Phys. 103 053702 doi: 10.1063/1.2890147
[11]	Basko D M and Aleiner I L 2008 Phys. Rev. B 77 041409
[12]	Park C H, Giustino F, Cohen M L and Louie S G 2008 Nano Lett. 8 4229 doi: 10.1021/nl801884n
[13]	Su W P, Schrieffer J R and Heeger A J 1979 Phys. Rev. Lett. 42 1698 doi: 10.1103/PhysRevLett.42.1698
[14]	Holstein T 1959 Ann. Phys. (N. Y) 8 325
[15]	Capone M, Ciuchi S 2003 Phys. Rev. Lett. 91 186405 doi: 10.1103/PhysRevLett.91.186405
[16]	Piscanec S et al. 2007 Phys. Rev. B 75 235430 doi: 10.1103/PhysRevB.75.235430
[17]	Piscanec S et al. 2015 Phys. Rev. B 75 035427
[18]	Sasaki K, Sato K, Jiang J, Saito J, Onari S and Tanaka Y 2007 Phys. Rev. B 75 235430 doi: 10.1103/PhysRevB.75.235430
[19]	Doniach S and Sondheimer E H 1999 Green's Functions for Solid State Physicists (London: Imperial College Press) p. 205
[20]	Liu Y and Willis R F 2010 Phys. Rev. B 81 081406 doi: 10.1103/PhysRevB.81.081406
[21]	Matz R and Luth H 1981 Phys. Rev. Lett. 46 500 doi: 10.1103/PhysRevLett.46.500
[22]	Jalabert R and Das Sarma S 1989 Phys. Rev. B 40 9723 doi: 10.1103/PhysRevB.40.9723
[23]	Hwang E H and Sarma S 1995 Phys. Rev. B 52 R8668
[24]	Mahan G D 1993 Many Particle Physics (New York: Plenumn Press) p. 310
[25]	Grosso G, Parravincini G P 2003 Solid State Physics (New York: Academic Press) p. 108
[26]	Ando T 2006 J. Phys. Soc. Jpn. 75 074716 doi: 10.1143/JPSJ.75.074716
[27]	Stauber T, Peres N M and Guinea F 2007 Phys. Rev. B 76 205423 doi: 10.1103/PhysRevB.76.205423
[28]	Castro A, Neto H and Guinea F 2007 Phys. Rev. B 75 045404 doi: 10.1103/PhysRevB.75.045404
[29]	Pyatkovskiy P K 2009 J. Phys.: Condens. Matter 21 025506 doi: 10.1088/0953-8984/21/2/025506
[30]	Roldan R, Fuchs J N and Georbig M O 2009 Phys. Rev. B 80 085408 doi: 10.1103/PhysRevB.80.085408
[31]	Ramezanali M R, Vazifeh M M, Asgari R, Polini M and Macdonald A H 2009 J. Phys. A: Math. Theor. 42 214015 doi: 10.1088/1751-8113/42/21/214015
[32]	Migdal A B and Eksp Z 1958 Teor. Fiz. 34 1438
[33]	Bruus H, Flensberg K 2004 Many Body Quantum Theory in Condensed Matter Physics (Oxford: Oxford University Press) p. 215
[34]	Micnas R, Ranninger J and Robaszkiewicz S 1990 Rev. Mod. Phys. 62 113 doi: 10.1103/RevModPhys.62.113

Charge structure factors of doped armchair nanotubes in the presence of electron-phonon interaction

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