Geodesic
Nonequilibrium Green's functions in the atomic representation and the problem of quantum transport of electrons through systems with internal
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 277-294 Cet article a éte moissonné depuis la source Math-Net.Ru

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We develop the theory of quantum transport of electrons through systems with strong correlations between fermionic and internal spin degrees of freedom. The atomic representation for the Hamiltonian of a device and nonequilibrium Green's functions constructed using the Hubbard operators allow overcoming difficulties in the perturbation theory encountered in the traditional approach because of a larger number of bare scattering amplitudes. Representing the matrix elements of effective interactions as a superposition of terms each of which is split in matrix indices, we obtain a simple method for solving systems of very many equations for nonequilibrium Green's functions in the atomic representation. As a result, we obtain an expression describing the electron currents in a device one of whose sites is in tunnel coupling with the left contact and the other, with the right contact. We derive closed kinetic equations for the occupation numbers under conditions where the electron flow leads to significant renormalization of them.
Keywords: nonequilibrium Green's functions, Keldysh contour, atomic representation, kinetic equation, inelastic scattering. 
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     author = {V. V. Val'kov and S. V. Aksenov},
     title = {Nonequilibrium {Green's} functions in the~atomic representation and the~problem of quantum transport of electrons through systems with internal},
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V. V. Val'kov; S. V. Aksenov. Nonequilibrium Green's functions in the atomic representation and the problem of quantum transport of electrons through systems with internal. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 277-294. http://geodesic.mathdoc.fr/item/TMF_2018_194_2_a3/

[1] C. F. Hirjibehedin, C. P. Lutz, A. J. Heinrich, “Spin coupling in engineered atomic structures”, Science, 312:5776 (2006), 1021–1024 | DOI

[2] H. Ueba, T. Mii, S. G. Tikhodeev, “Theory of inelastic tunneling spectroscopy of a single molecule – competition between elastic and inelastic current”, Surface Science, 601:22 (2007), 5220–5225 | DOI

[3] P. I. Arseev, N. S. Maslova, UFN, 180 (2010), 1197–1216 | DOI | DOI

[4] C. F. Hirjibehedin, C.-Y. Lin, A. F. Otte, M. Ternes, C. P. Lutz, B. A. Jones, A. J. Heinrich, “Large magnetic anisotropy of a single atomic spin embedded in a surface molecular network”, Science, 317:5842 (2007), 1199–1203 | DOI

[5] S. Loth, K. von Bergmann, M. Ternes, A. F. Otte, C. P. Lutz, A. J. Heinrich, “Controlling the state of quantum spins with electric currents”, Nature Phys., 6 (2010), 340–344 | DOI

[6] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, Nauka, M., 1971 | MR

[7] D. N. Zubarev, V. G. Morozov, G. Repke, Statisticheskaya mekhanika neravnovesnykh protsessov, v. 1, 2, Fizmatlit, M., 2002 | MR | Zbl

[8] D. Rogovin, D. J. Scalapino, “Fluctuation phenomena in tunnel junctions”, Ann. Phys. (N. Y.), 86:1 (1974), 1–90 | DOI

[9] L. V. Keldysh, “Diagramnaya tekhnika dlya neravnovesnykh protsessov”, ZhETF, 47:4 (1965), 1515–1527

[10] R. O. Zaitsev, Vvedenie v sovremennuyu kineticheskuyu teoriyu. Kurs lektsii, KomKniga, M., 2006

[11] P. I. Arseev, “O diagrammnoi tekhnike dlya neravnovesnykh sistem: vyvod, nekotorye osobennosti i nekotorye primeneniya”, UFN, 185:12 (2015), 1271–1321 | DOI | DOI

[12] R. O. Zaitsev, “Obobschennaya diagrammnaya tekhnika i spinovye volny v anizotropnom antiferromagnetike”, ZhETF, 68:1 (1975), 207–215 ; “Диаграммная техника и газовое приближение в модели Хаббарда”, 70:3 (1976), 1100–1111

[13] N. M. Plakida, L. Anton, S. Adam, G. Adam, “Obmennyi i spin-fluktuatsionnyi mekhanizmy sverkhprovodimosti v kupratakh”, ZhETF, 124:2 (2003), 367–378

[14] V. V. Valkov, S. V. Aksenov, E. A. Ulanov, “Effekty mnogokratnogo otrazheniya pri neuprugom elektronnom transporte cherez anizotropnyi magnitnyi atom”, Pisma v ZhETF, 98:7 (2013), 459–465 ; | DOI | DOI | DOI