Abstract
A recently proposed density functional approach for steady-state transport through nanoscale systems (called i-DFT) is used to investigate junctions which are asymmetrically coupled to the leads and biased with asymmetric voltage drops. In the latter case, the system can simply be transformed to a physically equivalent one with symmetric voltage drop by a total energy shift of the entire system. For the former case, known exchange correlation gate and bias functionals have to be generalized to take into account the asymmetric coupling to the leads. We show how differential conductance spectra of the constant interaction model evolve with increasing asymmetry of both voltage drops and coupling to the leads.
Similar content being viewed by others
References
N. Agraït, A.L. Yegati, J.M. van Ruitenbeek, Phys. Rep. 377, 81 (2003)
D. Goldhaber-Gordon et al., Nature 391, 156 (1998)
J. Park et al., Nature 417, 722 (2002)
H. Grabert, M.H. Devoret, Single charge tunneling (Plenum Press, New York, 1992)
A.R. Champagne, A.N. Pasupathy, D.C. Ralph, Nano Lett. 5, 305 (2005)
V. Madhavan, W. Chen, T. Jamneala, M.F. Crommie, N.S. Wingreen, Science 280, 567 (1998)
J. Li, W.-D. Schneider, R. Berndt, B. Delley, Phys. Rev. Lett. 80, 2893 (1998)
N. Knorr, M.A. Schneider, L. Diekhöner, P. Wahl, K. Kern, Phys. Rev. Lett. 88, 096804 (2002)
A. Zhao et al., Science 309, 1542 (2005)
V. Iancu, A. Deshpande, S.-W. Hla, Nano Lett. 6, 820 (2006)
C.F. Hirjibehedin et al., Science 317, 1199 (2007)
J.J. Parks et al., Science 328, 1370 (2010)
J.C. Oberg et al., Nat. Nanotechnol. 9, 64 (2014)
S. Karan et al., Nano Lett. 18, 88 (2018)
B.C. Stipe, M.A. Rezaei, W. Ho, Science 280, 1732 (1998)
J.R. Hahn, H.J. Lee, W. Ho, Phys. Rev. Lett. 85, 1914 (2000)
N.D. Lang, Phys. Rev. B 52, 5335 (1995)
R. Landauer, IBM J. Res. Dev. 1, 233 (1957)
M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986)
G. Stefanucci, S. Kurth, Nano Lett. 15, 8020 (2015)
G. Stefanucci, S. Kurth, Phys. Rev. Lett. 107, 216401 (2011)
J.P. Bergfield, Z.-F. Liu, K. Burke, C.A. Stafford, Phys. Rev. Lett. 108, 066801 (2012)
P. Tröster, P. Schmitteckert, F. Evers, Phys. Rev. B 85, 115409 (2012)
D. Jacob, J. Phys: Condens. Matter 27, 245606 (2015)
A. Droghetti, I. Rungger, Phys. Rev. B 95, 085131 (2017)
E. Runge, E.K.U. Gross, Phys. Rev. Lett. 52, 997 (1984)
S. Kurth, G. Stefanucci, C.-O. Almbladh, A. Rubio, E.K.U. Gross, Phys. Rev. B 72, 035308 (2005)
J. Maciejko, J. Wang, H. Guo, Phys. Rev. B 74, 085324 (2006)
V. Moldoveanu, V. Gudmundsson, A. Manolescu, Phys. Rev. B 76, 085330 (2007)
P. Bokes, F. Corsetti, R.W. Godby, Phys. Rev. Lett. 101, 046402 (2008)
A. Prociuk, B.D. Dunietz, Phys. Rev. B 78, 165112 (2008)
A. Croy, U. Saalmann, Phys. Rev. B 80, 245311 (2009)
X. Zheng et al., J. Chem. Phys. 133, 114101 (2010)
C. Yam et al., Phys. Rev. B 83, 245448 (2011)
G. Stefanucci, C.-O. Almbladh, EPL 67, 14 (2004)
F. Evers, F. Weigend, M. Koentopp, Phys. Rev. B 69, 235411 (2004)
N. Sai, M. Zwolak, G. Vignale, M. Di Ventra, Phys. Rev. Lett. 94, 186810 (2005)
M. Koentopp, K. Burke, F. Evers, Phys. Rev. B 73, 121403 (2006)
G. Stefanucci, S. Kurth, E.K.U. Gross, A. Rubio, Theor. Comput. Chem. 17, 247 (2007)
G. Vignale, M. Di Ventra, Phys. Rev. B 79, 014201 (2009)
V.U. Nazarov, G. Vignale, Y.-C. Chang, Phys. Rev. B 89, 241108 (2014)
S. Kurth, G. Stefanucci, Phys. Rev. B 94, 241103 (2016)
S. Kurth, G. Stefanucci, J. Phys: Condens. Matter 29, 413002 (2017)
D. Jacob, S. Kurth, Nano Lett. 18, 2086 (2018)
P.W. Anderson, Phys. Rev. 124, 41 (1961)
C.W.J. Beenakker, Phys. Rev. B 44, 1646 (1991)
G. Stefanucci, S. Kurth, Phys. Stat. Sol. (b) 250, 2378 (2013)
S. Motahari, R. Requist, D. Jacob, Phys. Rev. B 94, 235133 (2016)
S.G. Jakobs, M. Pletyukhov, H. Schoeller, Phys. Rev. B 81, 195109 (2010)
Author information
Authors and Affiliations
Corresponding author
Additional information
Contribution to the Topical Issue “Special issue in honor of Hardy Gross”, edited by C.A. Ullrich, F.M.S. Nogueira, A. Rubio, and M.A.L. Marques.
Rights and permissions
About this article
Cite this article
Kurth, S., Jacob, D. Exchange-correlation functionals of i-DFT for asymmetrically coupled leads. Eur. Phys. J. B 91, 101 (2018). https://doi.org/10.1140/epjb/e2018-90184-7
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2018-90184-7