Reuben, A. Merwyn Jasper D.; Varshney, Dinesh; Jayakumar, K. The possibility of semiconductor-metal transition in a spherical quantum dot. (English) Zbl 1312.82024 J. Math. Chem. 51, No. 7, 1815-1821 (2013). Summary: We observe an abrupt change in diamagnetic susceptibility at critical donor concentration for an Al\(_{\text X}\)Ga\(_{1-\text X}\)As/GaAs quantum dot system in the effective mass approximation indicating a possible semiconductor metal transition. The effect of confining potential and the laser intensity on the abrupt change in diamagnetic susceptibility has also been studied. The effect of nonparabolicity of the conduction band has been included in our calculations. Results are presented and discussed. MSC: 82D37 Statistical mechanics of semiconductors Keywords:square well potential; parabolic potential; hydrogenic donor; diamagnetic susceptibility; spherical quantum dot; semiconductor metal transition PDFBibTeX XMLCite \textit{A. M. J. D. Reuben} et al., J. Math. Chem. 51, No. 7, 1815--1821 (2013; Zbl 1312.82024) Full Text: DOI References: [1] Abrahams, EA; Anderson, PW; Licciardello, DC; Ramakrishnan, TV, No article title, Phys. Rev. Lett., 42, 673-676 (1979) · doi:10.1103/PhysRevLett.42.673 [2] Anderson, PW, No article title, Phys. Rev., 109, 1492-1505 (1958) · doi:10.1103/PhysRev.109.1492 [3] Thouless, DJ, No article title, Phys. Rev. Lett., 39, 1167-1169 (1977) · doi:10.1103/PhysRevLett.39.1167 [4] B.K. Ridley, Quantum Processes in Semiconductors, 3rd edn. (Clarendon Press, Oxford Science publications, New York, 1993), Chapter 2, pp. 75-81 [5] Arora, VK; Spector, HN, No article title, Supperlatt. Microstuct., 1, 251-253 (1985) · doi:10.1016/0749-6036(85)90012-6 [6] A. Merwyn Jasper D Reuben, D. Varshney, K. Jayakumar, J. Comput. Theor. Nanosci. 8, 1208-1211 (2011) [7] Merwyn Jasper D. Reuben, A.; Nithiananthi, P.; Jayakumar, K., No article title, Superlatt. Microstruct., 46, 710-714 (2009) · doi:10.1016/j.spmi.2009.06.014 [8] Bhatt, RN, No article title, Physica, 146B, 99-111 (1987) [9] Lima, CAS; Miranda, LCM, No article title, Phys. Rev. A., 23, 3335-3337 (1981) · doi:10.1103/PhysRevA.23.3335 [10] John Peter, A.; Navaneethakrishnan, K., No article title, Solid State Commun., 122, 655-659 (2002) · doi:10.1016/S0038-1098(02)00230-2 [11] Nithiananthi, P.; Jayakumar, K., No article title, Physica B, 391, 113-117 (2007) · doi:10.1016/j.physb.2006.09.005 [12] Porras-Montenegro, N.; Perez-Merchancano, ST, No article title, Phys. Rev. B., 46, 9780-9783 (1992) · doi:10.1103/PhysRevB.46.9780 [13] Niculescu, EC; Cristea, M., No article title, Proc. Int. Semicond. Conf., 1, 335 (1999) [14] Varshini, YP, No article title, Superlatt. Microstruct., 30, 45-52 (2001) · doi:10.1006/spmi.2001.0992 [15] Altshuler, BL; Maslov, DL; Pudalov, VM, No article title, Phys. Stat. Sol. B., 218, 193-200 (2000) · doi:10.1002/(SICI)1521-3951(200003)218:1<193::AID-PSSB193>3.0.CO;2-O [16] Rakoczy, D.; Strasser, G.; Smoliner, J., No article title, Phys. Rev. B., 68, 073304-073308 (2003) · doi:10.1103/PhysRevB.68.073304 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.