Variable range hopping and/or phonon-assisted tunneling mechanism of electronic transport in polymers and carbon nanotubes

• Authors: Povilas Pipinys , Antanas Kiveris
• Languages of publication: EN

Abstracts

EN

We review and compare two models recently used to describe electronic transport in polymer fibers/nanotubes and carbon nanotubes including graphene nanoribbons, namely, variable range hopping (VRH) in different versions and their modifications on the one hand and electric-field-induced phonon-assisted tunneling (PhAT) on the other hand. The VRH model is mainly approved on behalf of the results of temperature dependences. However, the field dependencies of the conductivity in the framework of this model remain practically unexplained. At the same time, the PhAT model describes properly not only temperature dependence of conductivity measured in a wide temperature range, but also conductivity/current dependences on field strength using the same set of parameters characterizing the materials

Keywords

EN

phonon-assisted tunneling; variable range hopping; electronic transport in polymers fibers/nanotubes and carbon nanotubes

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 2
• Pages: 271-281

Dates

published

1 - 4 - 2012

online

31 - 3 - 2012

Contributors

author

Povilas Pipinys

• Department of Physics, Vilnius Pedagogical University, Vilnius, LT-08106, Lithuania

author

Antanas Kiveris

• Department of Physics, Vilnius Pedagogical University, Vilnius, LT-08106, Lithuania

References

• [1] A. B. Kaiser, Adv. Materials 13, 927 (2001) http://dx.doi.org/10.1002/1521-4095(200107)13:12/13<927::AID-ADMA927>3.0.CO;2-B[Crossref]
• [2] A. N. Aleshin, Phys. Solid State 52, 2307 (2010) http://dx.doi.org/10.1134/S106378341011017X[Crossref]
• [3] N. F. Mott, Conduction in Non-Crystalline Materials, 2nd ed. (Clarendon Press, Oxford, 1993)
• [4] A. L. Efros, B. I. Shklovskii, J. Phys. C: Solid State Phys. 8, L49 (1975) http://dx.doi.org/10.1088/0022-3719/8/4/003[Crossref]
• [5] P. Pipinys, A. Rimeika, V. Lapeika, J. Phys. D: Appl. Phys. 37, 828 (2004) http://dx.doi.org/10.1088/0022-3727/37/6/003[Crossref]
• [6] P. Pipinys, A. Kiveris, J. Phys.: Condens. Matter 17, 4147 (2005) http://dx.doi.org/10.1088/0953-8984/17/26/013[Crossref]
• [7] A. Kiveris, P. Pipinys, Phys. D 38, 3497 (2005) http://dx.doi.org/10.1088/0022-3727/38/18/026[Crossref]
• [8] P. Pipinys, A. Rimeika, Cent. Eur. J. Phys. 6, 792 (2008) http://dx.doi.org/10.2478/s11534-008-0113-2[Crossref]
• [9] P. Ohlckers, P. Pipinys, Physica E 40, 2859 (2008) http://dx.doi.org/10.1016/j.physe.2008.01.012[Crossref]
• [10] P. Pipinys, P. Ohlckers, Phys. Scr. 82, 035701 (2010) http://dx.doi.org/10.1088/0031-8949/82/03/035701[Crossref]
• [11] P. Ohlckers, P. Pipinys, J. Appl. Phys. 109, 083713 (2011) http://dx.doi.org/10.1063/1.3575329[Crossref]
• [12] P. Pipinys, A. Kiveris, Lithuanian J. Phys. 48, 73 (2008) http://dx.doi.org/10.3952/lithjphys.48102[Crossref]
• [13] P. Pipinys, A. Kiveris, Physica B 403, 3730 (2008) http://dx.doi.org/10.1016/j.physb.2008.06.026[Crossref]
• [14] Aloka Ghosh, S. Bhattacharya, D. P. Bhattacharya, A. Ghosh, J. Appl. Phys. 103, 083703 (2008) http://dx.doi.org/10.1063/1.2904933[Crossref]
• [15] P.-Ch. Chang, J. G. Lu, Appl. Phys. Lett. 92, 212113 (2008) http://dx.doi.org/10.1063/1.2937847[Crossref]
• [16] R. Kumar, N. Khare, Thin Solid Films 516, 1302 (2008) http://dx.doi.org/10.1016/j.tsf.2007.06.121[Crossref]
• [17] K. Dutta, S. De, S. K. De, J. Appl. Phys. 101, 093711 (2007) http://dx.doi.org/10.1063/1.2724824[Crossref]
• [18] B. Nadra, G. Fethi, M. A. Belhadj, V. Valérie, M. Jean-Louis, J. Phys. D: Appl. Phys. 24, 205404 (2009)
• [19] K. D. Bozdag, N. R. Chiou, V. N. Prigodin, A. J. Epstein, Synth. Metals 160, 271 (2010) http://dx.doi.org/10.1016/j.synthmet.2009.06.011[Crossref]
• [20] Sh. Ebrahim, A. H. Kashyout, M. Soliman, Curr. Apl. Phys. 9, 448 (2009) http://dx.doi.org/10.1016/j.cap.2008.04.007[Crossref]
• [21] F. H. Cristovan, F. R. de Paula, Sh. G. Lemos, A. J. A. De Oliveira, E. C. Pereira, Synth. Metals, 159, 2188 (2009) http://dx.doi.org/10.1016/j.synthmet.2009.08.042[Crossref]
• [22] A. Singh, et al., Appl. Phys. Lett. 95, 202106 (2009) http://dx.doi.org/10.1063/1.3266525[Crossref]
• [23] L. Leontie, R. Danac, I. Druta, A. Carlescu, G. I. Rusu, Synth. Metals 160, 2526 (2010) http://dx.doi.org/10.1016/j.synthmet.2010.09.039[Crossref]
• [24] J. P. Spatz, et al., Phys. Rev. B 50, 14888 (1994) http://dx.doi.org/10.1103/PhysRevB.50.14888[Crossref]
• [25] C. Y. Nam, D. Tham, J. E. Fischer, Nano Lett. 5, 2029 (2005) http://dx.doi.org/10.1021/nl0515697[Crossref]
• [26] Sh. Shekhar, L. Anjia, H. Matsui, S. I. Khondaker, Nanotechnology 22, 095202 (2011) http://dx.doi.org/10.1088/0957-4484/22/9/095202[Crossref]
• [27] M. Aggarwal, et al., Eur. Phys. J. B 60, 319 (2007) http://dx.doi.org/10.1140/epjb/e2007-00348-3[Crossref]
• [28] J. Aguilar-Hernández, K. Potje-Kamloth, J. Phys. D: Appl. Phys. 34, 1700 (2010) http://dx.doi.org/10.1088/0022-3727/34/11/323[Crossref]
• [29] Y. Long, Zh. Hen, P. Zheng, N. Wang, Zh. Zhang, M. Wan, J. Appl. Phys. 93, 2962 (2003) http://dx.doi.org/10.1063/1.1544653[Crossref]
• [30] D. Yu, C. Wang, B. L. Wehrenberg, Ph. Guyot-Sionnest, Phys. Rev. Lett. 92, 216802 (2004) http://dx.doi.org/10.1103/PhysRevLett.92.216802[Crossref]
• [31] J. Li, K. Fang, H. Qiu, Sh. Li, W. Mao. Synth. Metals 142, 107 (2004) http://dx.doi.org/10.1016/j.synthmet.2003.08.014[Crossref]
• [32] E. Vitoratos, S. Sakkopoulos, E. Dalas, P. Malkaj, Ch. Anestis, Curr. Appl. Phys. 7, 578 (2007) http://dx.doi.org/10.1016/j.cap.2006.12.001[Crossref]
• [33] J. Shen, Zh. Chen, N. Wang, H. Yan, G. Shi, A. Jin, Ch. Gu, Appl. Phys. Lett. 88, 253106 (2006) http://dx.doi.org/10.1063/1.2214140[Crossref]
• [34] S. Shekhar, V. Prasad, S.V. Subramanyam, Phys. Lett. A 360, 390 (2006) http://dx.doi.org/10.1016/j.physleta.2006.08.043[Crossref]
• [35] K.G. Lisunov, E. Arushanov, H. Vinzelberg, G. Behr, J. Schumann, J. Appl. Phys. 97, 093706 (2005) http://dx.doi.org/10.1063/1.1887831[Crossref]
• [36] M. Ghosh, A.K. Meikap, S.K. Chattopadhyay, S. Chatterjee, J. Phys. Chem Solids 62, 475 (2001) http://dx.doi.org/10.1016/S0022-3697(00)00189-X[Crossref]
• [37] Y. Long, et al., Phys. Rev. B 71, 165412 (2005) http://dx.doi.org/10.1103/PhysRevB.71.165412[Crossref]
• [38] J. M. Mativetsky, W.R. Datars, Physica B 324, 191 (2002) http://dx.doi.org/10.1016/S0921-4526(02)01297-8[Crossref]
• [39] A. De, P. Sen, A. Poddar, A. Das, Synt. Metals 159, 1002 (2009) http://dx.doi.org/10.1016/j.synthmet.2008.12.030[Crossref]
• [40] S. Maji, S. Mukhopadhyay, R. Gangopadhyay, A. De, Phys. Rev. B 75, 073202 (2007) http://dx.doi.org/10.1103/PhysRevB.75.073202[Crossref]
• [41] M. Novak, L. Kokanovic, D. Babic, M. Bacani, A. Tonejc, Synth. Metals 159, 649 (2009) http://dx.doi.org/10.1016/j.synthmet.2008.12.010[Crossref]
• [42] M.M. Fogler, S. Teber, B. I. Shklovskii, Phys. Rev. B 69, 035413 (2004) http://dx.doi.org/10.1103/PhysRevB.69.035413[Crossref]
• [43] M. Taunk, A. Kapil, S. Chand, Solid. State Comm. 150, 1766 (2010) http://dx.doi.org/10.1016/j.ssc.2010.07.022[Crossref]
• [44] M. Taunk, A. Kapil, S. Chand, J. Mater. Sci.: Mater. Electron. 22, 136 (2011) http://dx.doi.org/10.1007/s10854-010-0102-2[Crossref]
• [45] S. Kivelson, Phys. Rev. Lett. 46, 1344 (1981) http://dx.doi.org/10.1103/PhysRevLett.46.1344[Crossref]
• [46] S. Kivelson, Phys. Rev. B 25, 3798 (1982) http://dx.doi.org/10.1103/PhysRevB.25.3798[Crossref]
• [47] M.C. Anglada, N.F. Anglada, J.M. Ribo, V. Movaghar, Synth. Metals 78, 169 (1996) http://dx.doi.org/10.1016/0379-6779(96)80119-6[Crossref]
• [48] M. Jaiswal, W. Wang, K.A.S. Fernando, Y.-P. Sun, R. Menon, J. Phys.: Condens. Matter 19, 446006 (2007) http://dx.doi.org/10.1088/0953-8984/19/44/446006[Crossref]
• [49] D.P. Wang, D.E. Feldman, B.R. Perkins, A.J. Yin, G.H. Wang, J.M. Xu, A. Zaslavsky, Solid State Commun. 142, 287 (2007) http://dx.doi.org/10.1016/j.ssc.2007.02.028[Crossref]
• [50] A.B. Kaiser, Y.W. Park, Synth. Metals 152, 181 (2005) http://dx.doi.org/10.1016/j.synthmet.2005.07.245[Crossref]
• [51] L.V. Keldysh, Zh. Eksp. Teor. Fiz. 34, 962 (1958)
• [52] L.V. Keldysh, Soviet Phys. JETP 6, 763 (1958)
• [53] A. Kiveris, S. Kudzmauskas, P. Pipinys, Phys. Status Solidi (a) 37, 321 (1976) http://dx.doi.org/10.1002/pssa.2210370140[Crossref]
• [54] P. Migliorato, C. Reita, G. Tallarida, M. Quinn, G. Fortunato, Solid-state Electron. 38, 2075 (1995) http://dx.doi.org/10.1016/0038-1101(95)00027-Q[Crossref]
• [55] A. Rahman, M.K. Sanyal, J. Phys.: Condens. Matter 22, 175301 (2010) http://dx.doi.org/10.1088/0953-8984/22/17/175301[Crossref]
• [56] T. Taychatanapat, P. Jarillo-Herrero, Phys. Rev. Lett. 105, 166601 (2010) http://dx.doi.org/10.1103/PhysRevLett.105.166601[Crossref]
• [57] P. Pipinys, A. Kiveris, Natural Science 2, 979 (2010) http://dx.doi.org/10.4236/ns.2009.29119[Crossref]
• [58] V.N. Popov, L. Henrard, Ph. Lambin, Phys. Rev. B 72, 035436 (2005) http://dx.doi.org/10.1103/PhysRevB.72.035436[Crossref]
• [59] Y.-Z. Long, et al., Chinese Phys. B 18, 2514 (2009) http://dx.doi.org/10.1088/1674-1056/18/7/049[Crossref]
• [60] J.W. Yoo, et al., Phys. Rev. B 80, 205207 (2009) http://dx.doi.org/10.1103/PhysRevB.80.205207[Crossref]
• [61] J.W. Yoo, H.W. Jang, V.N. Prigodin, C. Kao, C.B. Eom, A.J. Epstein, Synth. Metals 160, 216 (2010) http://dx.doi.org/10.1016/j.synthmet.2009.11.019[Crossref]
• [62] V. Osinniy, S. Lysgaard, V.I. Kolkovsky, V. Pankratov, A. Nylandsted Larsen, Nanotechnology 20, 195201 (2009) http://dx.doi.org/10.1088/0957-4484/20/19/195201[Crossref]
• [63] V.N. Prigodin, J.W. Yoo, H.W. Jang, C. Kao, C.B. Eom, A.J. Epstein, J. Phys.: Conf. Series 292, 012001 (2011) http://dx.doi.org/10.1088/1742-6596/292/1/012001[Crossref]
• [64] K. Lee, R. Menon, C.O. Yoon, A.J. Heeger, Phys. Rev. B 52, 4779 (1995) http://dx.doi.org/10.1103/PhysRevB.52.4779[Crossref]
• [65] J.M. Marulanda, A. Srivastava, Phys. Status Solidi (b) 245, 2558 (2008) http://dx.doi.org/10.1002/pssb.200844259[Crossref]
• [66] M. Yamashita, Ch. Otani, M. Shimizu, H. Okuzaki, Appl. Phys. Lett. 99, 143307 (2011) http://dx.doi.org/10.1063/1.3647574[Crossref]
• [67] S. Rols, et al., Phys. Rev. Lett. 85, 5222 (2000) http://dx.doi.org/10.1103/PhysRevLett.85.5222[Crossref]
• [68] J.-L. Sauvajol, E. Anglaret, S. Rols, L. Alvarez, Carbon, 40, 1697 (2002) http://dx.doi.org/10.1016/S0008-6223(02)00010-6[Crossref]
• [69] U. Kuhlmann, H. Jantoljak, N. Pfander, P. Bernier, C. Journet, C. Thomsen, Chem. Phys. Lett. 294, 237 (1998) http://dx.doi.org/10.1016/S0009-2614(98)00845-8[Crossref]
• [70] I. Miloševič, E. Dobardšič, M. Damnjanovič, Phys. Rev. B 72, 085426 (2005) http://dx.doi.org/10.1103/PhysRevB.72.085426[Crossref]
• [71] P. Pipinys, A. Kiveris, Physica B 370, 168 (2005) http://dx.doi.org/10.1016/j.physb.2005.09.007[Crossref]
• [72] P. Pipinys, A. Kiveris, Cent. Eur. J. Phys. 5, 83 (2007) http://dx.doi.org/10.2478/s11534-006-0039-5[Crossref]

Identifiers

DOI

10.2478/s11534-012-0005-3