Abstract
A generalized model of strongly correlated electron system in quantum dot arrays with magnetic impurity levels hybridized with conduction band is considered. The effective Hamiltonians on the basis of configurational representation with Hubbard X-operators describing the localized spin subsystem are developed for the regime of strong electron correlations. Comparison of indirect exchange integrals in single-particle energy spectrum give hints for understanding mechanisms of the magnetic ordering.
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References
Chakraborty T (1999) Quantum dots: a survey of the properties of artificial atoms. Elsevier Science, Amsterdam
Lan H, Ding Y (2012) Ordering, positioning and uniformity of quantum dot arrays. Nano Today 7:94–123
Fesenko O, Yatsenko L (2018) Nanooptics, Nanophotonics, nanostructures, and their applications. NANO 2017. Springer proceedings in physics, vol. Springer, Cham, p 210
Anderson PW (1961) Localized magnetic states in metals. Phys Rev 124:41–53
Didukh LD, Stasyuk IV (1968) Effective Hamiltonian in the Anderson model. Fiz Met Metalov 26:582–588. [In Russian]
Didukh LD, Stasyuk IV [In Russian] (1968) On ferromagnetism theory with account of s-d transfer. Ukr Fiz Zhurn 13:1774–1780. In Russian]
Zhang P, Xue Q-K, Wang Y, Xie XC (2002) Spin-dependent transport through an interacting quantum dot. Phys Rev Lett 89:286803
Dias da Silva L, Ingersent K, Sandler N, Ulloa SE (2008) Finite-temperature conductance signatures of quantum criticality in double quantum dots. Phys Rev B 78:153304
Nikkarila J-P, Koskinen M, Manninen M (2008) Magnetism of quantum dot clusters: a Hubbard model study. Eur Phys J B 64:95–103
Hang Xie, Xiao Cheng, Xiaolong Lv (2018) Steady and dynamic magnetic phase transitions in interacting quantum dots arrays coupled with leads. Available via arxiv.org. https://arxiv.org/pdf/1805.04939
Didukh L, Kramar O (2005) Metallic ferromagnetism in the systems with strongly correlated electrons. Condens Matter Phys 8:547–564
Didukh L, Yu S, Kramar O (2008) Electron correlations in narrow energy bands: modified polar model approach. Condens Matter Phys 11:443–454
Górski G, Mizia J, Kucab K (2015) Alternative equation of motion approach applied to transport through a quantum dot. Phys E 73:76–82
Górski G, Mizia J, Kucab K (2016) Modified equation of motion approach for metallic ferromagnetic systems with the correlated hopping interaction. Phys Status Solidi B 253:1202–1209
Górski G, Kucab K (2018) Effect of assisted hopping on spin-dependent thermoelectric transport through correlated quantum dot. Phys B Condens Matter 545:337–345
Didukh L, Skorenkyy Y, Hankevych V, Kramar O (2001) Ground state ferromagnetism in a doubly orbitally degenerate model. Phys Rev B 64:144428
Didukh L, Kramar O, Skorenkyy Y (2002) Ground state energy of metallic ferromagnet in a generalized Hubbard model. Phys Status Solidi B 229:1241–1254
Didukh L, Kramar O (2002) Metallic ferromagnetism in a generalized Hubbard model. Fizika Nizkikh Temperatur (Kharkov) 28:42–50
Didukh L, Kramar O, Yu S (2005) Metallic ferromagnetism in a generalized Hubbard model. In: Murray VN (ed) New developments in ferromagnetism research. Nova Science Publishers Inc, New York
Skorenkyy Y, Didukh L, Kramar O, Dovhopyaty Y (2007) Mott transition, ferromagnetism and conductivity in the generalized Hubbard model. Acta Phys Pol A 111:635–644
Górski G, Mizia J, Kucab K (2014) New Green’s function approach describing the ferromagnetic state in the Hubbard model with correlated hopping. Phys Status Solidi B 251:2294–2301
Didukh L (2018) 3d-electrons contribution to cohesive energy of 3d-metals. Condensed Matter Physics 21:13701
Izyumov YA, Kurmaev EZ (2008) Materials with strong electron correlations. Physics-Uspekhi 51:23
Shishido H et al (2010) Tuning the dimensionality of the heavy fermion compound CeIn3. Science 327:980–983
Zaitsev RO, Kuz’min EV, Ovchinnikov SG (1986) Fundamental ideas on metal-dielectric transitions in 3d-metal compounds. Sov Phys Usp 29:322–342
Fazekas P (1999) Lecture notes on electron correlation and magnetism. World Scientific Publishing, Singapore
Didukh L, Hankevych V, Kramar O, Skorenkyy Y (2002) Itinerant ferromagnetism of systems with orbital degeneracy. J Phys Condens Matter 14:827–835
Masuda S, Tan KY, Nakahara M (2018) Spin-selective electron transfer in quantum dot array. Phys Rev B 97:045418
Górski G, Mizia J (2009) Hubbard model with intersite kinetic correlations. Phys Rev B 83:064410
Skorenkyy Y, Kramar O, Didukh L, Dovhopyaty Y (2018) Electron correlation effects in theoretical model of doped fullerides. In: Fesenko O, Yatsenko L (eds) Nanooptics, nanophotonics, nanostructures, and their applications. NANO 2017. Springer proceedings in physics, vol 210. Springer, Cham
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Didukh, L., Skorenkyy, Y., Kramar, O., Dovhopyaty, Y. (2019). Effective Hamiltonians for Magnetic Ordering Within Periodic Anderson-Hubbard Model for Quantum Dot Array. In: Fesenko, O., Yatsenko, L. (eds) Nanocomposites, Nanostructures, and Their Applications. NANO 2018. Springer Proceedings in Physics, vol 221. Springer, Cham. https://doi.org/10.1007/978-3-030-17759-1_30
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DOI: https://doi.org/10.1007/978-3-030-17759-1_30
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