Kondo Box Effects by Varying Coupling between Dots and Chain
DOI:
https://doi.org/10.48165/Keywords:
Kondobox, coupling, quantum dot, impurity, non-interacting, Kondo screeningAbstract
We have studied the Kondo box effect by varying the coupling between the dots and the chain. The physics of a Kondo box can be realized in systems of two impurities coupled between them by a finite number of non-interacting sites. Finite size effects can take place together with a magnetic interaction between the impurities of the Ruderman-Kittel-Kasuya-Yosida type. We have found that when Kondo effect is present, the fourth order Ruderman-Kittel-Kasuya-Yosida interaction between the impurities is mediated by the electrons of the non-interacting sites, which are participating simultaneously in the Kondo screening of each impurity. It was also found that other types of magnetic interactions arised such as the Kondo correlated or super exchange interactions. Using vibrational wave functions it was predicted that the interaction between the impurities was mainly due to an interference-enhanced hybridization that generated Kondo doublet states. We analysed a double quantum dot system simultaneously connected to metallic leads and between themselves through a finite number of non-interacting sites. The impurities in such as system are coupled to and interact through a non-interacting linear chain that consisted a quantum box, whose electrons participated in the Kondo’s screening. Thus there is interplay between a bulk continuous Konodo regime and a two impurity Kondo box. We also analysed the transport properties for different values of number of sites of the non-interacting linear chain and for different couplings of the quantum dots with it. The results were valid for temperatures below the characteristic single impurity Kondo temperature. The obtained results were in good agreement with previously obtained results
References
. Hewson. A.C. (1993), The Kondo Problem to Heavy Fermions (Cambridge university press, Cambridge, 1993).
. Anderson, P.W. (1961), Phys. Rev. 124, 41.
. Alexander. S and Anderson. P.W. (1964), Phys. Rev. 133, A1594.
. Glazman. L.I and Raikh. M.E. (1988), JETP: Lett. 47, 452.
. Ng, T.K. and Lee. P.A. (1988), Phys. Rev. Lett. 61, 1768.
. Goldhaber-Gordon. D, Shtikman. H, Mahalu. D., Abusch-Magder. D., Reiroav. U and Kastner. M.A., (1998), Nature (London), 391, 156.
. Jayatilaka. F.W., Galpin. M.R. and Logan D. E., (2011), Phys. Rev. B. 84, 115111. [8]. Hamad. I. J., Costa Ribeiro. L., Martins. G.B. and Anda. E.V., (2013), Phys. Rev. B, 87, 115102. [9]. Neel. N., Berndt. R., Kroger. J., Wehling. T. O., Lichtenstein. A.I., and Katsnelson. M, (2011), Phys. Rev. Lett. 107, 106804.
. Bork. J, Zhang. Y.H, Deikhoner. L., Borda. L., Simon.P., Kroha. J, Wahl. P. and Kern. K. (2011), Nat. Phys. 7, 901.
. Cornaglia. P. S. and Grempel. D.R. (2005), Phys. Rev. B, 71, 075305.
. Anda. E.V., Chiappe. G., Busser. C.A., Davidovich. M. A., Martin. G. B., Heidrich-Meisner. F. and Dagotto. E. (2008), Phys. Rev. B., 78, 085308.
. Jayprakash. C., Krishnamurthy. H.R. and Wilkins. J.W. (1981), Phys. Rev. Lett. 47, 737. [14]. Malecki. J., Sela. E and Affleck. I, (2010), Phys. Rev. B, 82, 205327.