Coherent Electron Transport by Adiabatic Passage in an Imperfect Donor Chain

Rajib Rahman, Sandia National Laboratories
Richard P. Muller, Sandia National Laboratories
James E. Levy, Sandia National Laboratories
Malcolm S. Carroll, Sandia National Laboratories
Gerhard Klimeck, NCN, Purdue University
Andrew D. Greentree, University of Melbourne
Lloyd C. L. Hollenberg, University of Melbourne

Date of this Version



Physical Review B 82, 155315 (2010)


This is the published version of Rajib Rahman, Richard P. Muller, James E. Levy, Malcolm S. Carroll, Gerhard Klimeck, Andrew D. Greentree, and Lloyd C. L. Hollenberg. (18 October 2010) Coherent electron transport by adiabatic passage in an imperfect donor chain. Phys. Rev. B 82, 155315 . First published in the Physical Review E and is available online at:


Coherent tunneling adiabatic passage 􏰀CTAP􏰁 has been proposed as a long-range physical quantum bits 􏰀qubit􏰁 transport mechanism in solid-state quantum computing architectures. Although the mechanism can be implemented in either a chain of quantum dots or donors, a one-dimensional chain of donors in Si is of particular interest due to the natural confining potential of donors that can, in principle, help reduce the gate densities in solid-state quantum computing architectures. Using detailed atomistic modeling, we investigate CTAP in a more realistic triple donor system in the presence of inevitable fabrication imperfections. In particular, we investigate how an adiabatic pathway for CTAP is affected by donor misplacements and propose schemes to correct for such errors. We also investigate the sensitivity of the adiabatic path to gate voltage fluctuations. The tight-binding based atomistic treatment of straggle used here may benefit understanding of other donor nanostructures, such as donor-based charge and spin qubits. Finally, we derive an effective 3 􏰋3 model of CTAP that accurately resembles the voltage tuned lowest energy states of the multimillion atom tight-binding simulations and provides a translation between intensive atomistic Hamiltonians and simplified effective Hamiltonians while retaining the relevant atomic-scale information. This method can help character- ize multidonor experimental structures quickly and accurately even in the presence of imperfections, overcom- ing some of the numeric intractabilities of finding optimal eigenstates for nonideal donor placements.


Nanoscience and Nanotechnology