Abstract.
A nano-system in which electrons interact and in contact with Fermi leads gives rise to an effective one-body scattering which depends on the presence of other scatterers in the attached leads. This non local effect is a pure many-body effect that one neglects when one takes non interacting models for describing quantum transport. This enhances the non-local character of the quantum conductance by exchange interactions of a type similar to the RKKY-interaction between local magnetic moments. A theoretical study of this effect is given assuming the Hartree-Fock approximation for spinless fermions of Fermi momentum kF in an infinite chain embedding two scatterers separated by a segment of length Lc. The fermions interact only inside the two scatterers. The dependence of one scatterer onto the other exhibits oscillations of period π/kF which decay as 1/Lc and which are suppressed when Lc exceeds the thermal length LT. The analytical results given by the Hartree-Fock approximation are compared with exact numerical results obtained with the embedding method and the DMRG algorithm.
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References
M.A. Ruderman, C. Kittel, Phys. Rev. 96, 99 (1954)
K. Yosida, Phys. Rev. 106, 893 (1957)
J.H. Van Vleck, Rev. Mod. Phys. 34, 681 (1962)
A. Blandin, J. Friedel, J. Phys. Rad. 20, 160 (1956)
R. Landauer, IBM J. Res. Dev. 1, 223 (1957); M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986); Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, 1997)
S. Datta, Electronic transport in mesoscopic systems, (Cambridge University Press, Cambridge, 1997)
Y. Asada, preprint available in arXiv:cond-mat/0603147
R.A. Molina, D. Weinmann, J.-L. Pichard, Eur. Phys. J. B 48, 243 (2005)
R.A. Molina, D. Weinmann, R.A. Jalabert, G.-L. Ingold, J.-L. Pichard, Phys. Rev. B 67, 235306 (2003)
R.A. Molina, P. Schmitteckert, D. Weinmann, R.A. Jalabert, G.-L. Ingold, J.-L. Pichard, Eur. Phys. J. B 39, 107 (2004)
R.A. Molina, D. Weinmann, J.-L. Pichard, Europhys. Lett. 67, 96 (2004)
A.O. Gogolin, N.V. Prokof'ev, Phys. Rev. B 50, 4921 (1994)
J. Favand, F. Mila, Eur. Phys. J. B 2, 293 (1998)
O.P. Sushkov, Phys. Rev. B 64, 155319 (2001)
V. Meden, U. Schollwöck, Phys. Rev. B 67, 193303 (2003)
T. Rejec, A. Ramšak, Phys. Rev. B 68, 035342 (2003)
S.R. White, Phys. Rev. Lett. 69, 2863 (1992); S.R. White, Phys. Rev. B 48, 10345 (1993)
Density Matrix Renormalization – A New Numerical Method in Physics, edited by I. Peschel, X. Wang, M. Kaulke, K. Hallberg, Lecture Notes in Physics, Vol. 528 (Springer, Berlin, 1999)
N.W. Ashcroft, N.D. Mermin, Solid State Physics (Saunders College Publishing, 1976)
A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill Book Company, 1971)
H.J. Lipkin, Quantum Mechanics, New Approaches to Selected Topics, North Holland (1973)
A.C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, 1993)
G. Vasseur, D. Weinmann, R.A. Jalabert, Eur. Phys. J. B 51, 267 (2006)
A. Oguri, A.C. Hewson, J. Phys. Soc. Jpn 74, 988 (2005); A. Oguri, Y. Nisikawa, A.C. Hewson, J. Phys. Soc. Jpn 74, 2554 (2005), and references therein
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Asada, Y., Freyn, A. & Pichard, JL. Conductance of nano-systems with interactions coupled via conduction electrons: effect of indirect exchange interactions. Eur. Phys. J. B 53, 109–120 (2006). https://doi.org/10.1140/epjb/e2006-00352-1
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DOI: https://doi.org/10.1140/epjb/e2006-00352-1