Multi-electron anisotropic quantum dots/TMDCs/CNT families under magnetic field: analytical treatment to first Brillouin zone by Fermi liquid model

References

• M.A. Reed, Sci. Am. 268, 118 (1993). doi:10.1038/scientificamerican0193-118.
   Web of Science ®Google Scholar
• R.C. Ashoori, Nature 379, 413 (1996). doi:10.1038/379413a0.
   Web of Science ®Google Scholar
• G. Schmid, Nanoparticles: From Theory to Application (Wiley, Weinheim, 2004).
   Google Scholar
• W.G. Van der Wiel, J.M. De Franceschi, S. Elzerman, S. Fujisawa, T. Tarucha and L.P. Kouwenhoven, Rev. Mod. Phys. 75, 1 (2002). doi:10.1103/revmodphys.75.1.
   Web of Science ®Google Scholar
• Q.H. Wang, K. Kalantar-Zadeb, A. Kis, J.N. Coleman and S. Michael, Nat. Tech. 7, 699 (2012). doi:10.1038/nnano.2012.193.
   PubMed Web of Science ®Google Scholar
• S.W. Lee, H. Grebel, A. Kornblit and D. Lopez, Synth. Met. 159, 462 (2009). doi:10.1016/j.synthmet.2008.11.015.
   Web of Science ®Google Scholar
• R.B. Laughlin, Phys. Rev. B 27, 3383 (1983). doi:10.1103/PhysRevB.27.3383.
   Web of Science ®Google Scholar
• R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). doi:10.1103/PhysRevLett.50.1395.
   Web of Science ®Google Scholar
• R.K. Kamilla and J.K. Jain, Phys. Rev. B 52, 2798 (1995). doi:10.1103/PhysRevB.52.2798.
   Web of Science ®Google Scholar
• P. Maksym and T. Chakraborty, Phys. Rev. Lett. 65, 108 (1990). doi:10.1103/PhysRevLett.65.108.
   PubMed Web of Science ®Google Scholar
• C. Hamaguchi, Basic Semiconductor Physics (Springer, Berlin Heidelberg, 2009).
   Google Scholar
• M. Taut, Phys. E Low Dimens. Syst. Nanostruct. 6, 479 (2000). doi:10.1016/S1386-9477(99)00219-2.
   Web of Science ®Google Scholar
• E.P. Nakhmedov, K. Morawetz, M. Ameduri, A. Yurtsever and C. Radehaus, Phys. Rev. B 67, 205106 (2003). doi:10.1103/PhysRevB.67.205106.
   Web of Science ®Google Scholar
• A. Ralko and T.T. Truong, J. Phys. A 35, 9671 (2002). doi: 10.1088/0305-4470/35/45/313
   Google Scholar
• M. Springborg and J.-O. Joswig, eds., SPR -Chemical Modelling (The Royal Society of Chemistry, 2018), Vol. 14, pp. P001–254. doi:10.1039/9781788010719.
   Google Scholar
• M.Y. Kagan, V.V. Val'kov and S.V. Aksenov, Phys. Rev. B 95 (2017). doi:10.1103/physrevb.95.035411.
   Web of Science ®Google Scholar
• P. Aggarwal, S. Sharma, S. Singh, H. Kaur and R.K. Hazra, Phys. E Low Dimens. Syst. Nanostruct.88, 26 (2017). doi: 10.1016/j.physe.2016.11.015
   Web of Science ®Google Scholar
• S. Sharma, P. Aggarwal, H. Kaur, S. Yadav and R.K. Hazra, Phys. E Low Dimens. Syst. Nanostruct.104, 206 (2018). doi:https://doi.org/10.1016/j.physe.2018.07.033.
   Web of Science ®Google Scholar
• H. Kaur, S. Singh, P. Aggarwal, S. Sharma, S. Yadav and R.K. Hazra, ACS Omega 2, 7410 (2017). doi: 10.1021/acsomega.7b00886
   PubMed Web of Science ®Google Scholar
• M. Spinborg, Methods of Electronic-Structure Calculations: From Molecules to Solids (Wiley, New York, 2000).
   Google Scholar
• D. Griffiths, Introduction to Electrodynamics (Prentice Hall, Upper Saddle River, NJ, 1999).
   Google Scholar
• S. Sharma, P. Aggarwal, H. Kaur and R.K. Hazra, J. Indian Chem. Soc. 96, 775 (2019 ( Invited special issue)).
   Web of Science ®Google Scholar
• P. Coleman, Introduction to Many-Body Physics (Cambridge University Press, Cambridge, 2015).
   Google Scholar
• P. Phillip, Advance Solid State Physics (Cambridge University Press, Cambridge, 2012).
   Google Scholar
• V.N. Mantsevich and D.S. Smirnov, Phys. Rev. B 100 (2019). doi:10.1103/physrevb.100.075409.
   PubMed Web of Science ®Google Scholar
• V. Mantsevich, N. Maslova and P. Arseyev, Phys. E Low Dimens. Syst. Nanostruct. 93, 224 (2017). https://doi.org/10.1016/j.physe.2017.06.027.
   Web of Science ®Google Scholar
• D.S. Smirnov, M.M. Glazov and E.L. Ivchenko, Phys. Solid State 56, 254 (2014). doi: 10.1134/S1063783414020280
   Web of Science ®Google Scholar
• C. Kittel, Introduction to Solid State Physics, 8th ed. (Wiley, Hoboken, NJ, 2004).
   Google Scholar
• A. Kormányos, V. Zólyomi, N.D. Drummond and G. Burkard, Phys. Rev. X 4, 011034 (2014). doi:10.1103/PhysRevX.4.011034.
   Google Scholar
• D. Mattis, The Many-body Problem: An Encyclopedia of Exactly Solved Models in One Dimension (World Scientific, Singapore, 1993).
   Google Scholar
• A. Cerquetti, ArXiv e-prints (2010), arXiv:1012.1243 [math.PR].
   Google Scholar
• F.J. Sevilla and L. Olivares-Quiroz, ArXiv e-prints (2011), arXiv:1104.2611 [cond-mat.stat-mech].
   Google Scholar
• M. Fujito, A. Natori and H. Yasunaga, Phys. Rev. B 53, 9952 (1996). doi:10.1103/PhysRevB.53.9952.
   Web of Science ®Google Scholar
• P. Aggarwal, S. Sharma, H. Kaur, S. Yadav and R.K. Hazra, J. Phys. Commun. 3, 035011 (2019). doi:10.1088/2399-6528/ab0c3f.
   Web of Science ®Google Scholar
• H. Kaur, S. Sharma, P. Aggarwal and R.K. Hazra, Phys. E Low Dimens. Syst. Nanostruct. 108, 347 (2019). https://doi.org/10.1016/j.physe.2018.11.023.
   Web of Science ®Google Scholar
• T. Ezaki, N. Mori and C. Hamaguchi, Phys. Rev. B 56, 6428 (1997). doi:10.1103/PhysRevB.56.6428.
   Web of Science ®Google Scholar
• M. Head-Gordon, A.M. Grana, D. Maurice and C.A. White, J. Phys. Chem. 99, 14261 (1995). doi:10.1021/j100039a012.
   Web of Science ®Google Scholar
• G.M.J. Barca, A.T.B. Gilbert and P.M.W. Gill, J. Chem. Theory. Comput. 14, 1501 (2018). doi:10.1021/acs.jctc.7b00994.
   PubMed Web of Science ®Google Scholar
• A. Erdélyi, Monatshefte Math. Phys. 46, 1 (1937). doi:10.1007/BF01792661.
   Google Scholar
• A. Jeffrey and D. Zwillinger, Table of Integrals, Series, and Products (Elsevier Science, Amsterdam, 2000).
   Google Scholar
• G. Lauricella, Rend. Circ. Mat. Palermo 7, 111 (1893). doi:10.1007/BF03012437.
   Google Scholar
• C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, New York, 1977).
   Google Scholar
• S. Tarucha, T. Honda, D. Austing, Y. Tokura, K. Muraki, T. Oosterkamp, J. Janssen and L. Kouwenhoven, Phys. E Low Dimens. Syst. Nanostruct. 3, 112 (1998). doi:10.1016/S1386-9477(98)00225-2.
   Web of Science ®Google Scholar
• A.V. Madhav and T. Chakraborty, Phys. Rev. B 49, 8163 (1994). doi:10.1103/PhysRevB.49.8163.
   Web of Science ®Google Scholar
• P.S. Drouvelis, P. Schmelcher and F.K. Diakonos, Phys. Rev. B 69, 035333 (2004). doi:10.1103/PhysRevB.69.035333.
   Web of Science ®Google Scholar
• Y. Li, C. Yannouleas and U. Landman, Phys. Rev. B 76, 245310 (2007). doi:10.1103/PhysRevB.76.245310.
   Web of Science ®Google Scholar
• P. Maksym, Physica B 249-251, 233 (1998). doi:10.1016/S0921-4526(98)00105-7.
   Web of Science ®Google Scholar
• S. Sharma, P. Aggarwal, H. Kaur and R.K. Hazra, AIP. Adv. 8, 095116 (2018). doi:10.1063/1.5037143.
   Web of Science ®Google Scholar
• F. Tennie, V. Vedral and C. Schilling, Phys. Rev. A 95 (2017). doi:10.1103/physreva.95.022336.
   Web of Science ®Google Scholar
• M. Franco-Pérez, J.L. Gázquez, P.W. Ayers and A. Vela, J. Chem. Phys. 143, 154103 (2015). doi:10.1063/1.4932539.
   PubMed Web of Science ®Google Scholar
• H. Buchholz, The Confluent Hypergeometric Function with Special Emphasis on Its Applications (Springer, Berlin/Heidelberg, 1969), Vol. 15.
   Google Scholar
• V.F. Tarasov, Int. J. Modern Phys. B 24, 4181 (2010). doi:10.1142/S0217979210056505.
   Web of Science ®Google Scholar