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Spin Coupled Quantum Dots

By John Shumway1, Matthew Gilbert2

1. Arizona State University 2. University of Texas at Austin

Path integral calculation of exchange coupling of spins in neighboring quantum dots.

Launch Tool

This tool version is unpublished and cannot be run. If you would like to have this version staged, you can put a request through HUB Support.

Archive Version 1.0
Published on 05 Aug 2008
Latest version: 1.0w. All versions

doi:10.4231/D3GF0MW02 cite this

Open source: license | download



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This tool illustrates the calculation of spin coupling in neighboring quantum dots. The theory behind this calculation is described in “Path integral study of the role of correlation in exchange coupling in quantum dots and optical lattices,” by Lei Zhang, M. J. Gilbert, and J. Shumway (submitted, 2008). The model is a double parabolic quantum dot, and the user may adjust several parameters, including:
  • The dot separation distance.
  • The electron effective mass.
  • The dielectric constant.
The simulation typically runs for about one minute and solves the interacting two-electron problem to give results that include:
  • The interacting charge density in cm-2.
  • The spin coupling J in meV.
  • The correlation hole when one electron is passing between the dots.
The simulation is driven by the same research code “pi” that drives the simulations in our research paper, but the length of the nanoHUB runs is much shorter. The user has the option of downloading the pimc.xml input file to run the simulations locally and explore simulation convergence. Note: To get precise answers, the simulations must be converged with respect to time step (Trotter number) and sampled thoroughly. Also, the temperature must be low enough to suppress contributions from double occupation of dots. The results and errorbars nanoHUB are a rough guide to the value of the exchange splittings and serve to illustrate this path integral method. You may contact for expert advise if you intend to use these results in research applications.

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“pi”: our group’s open-source path integral Monte Carlo program.

The full path integral simulation tool available as app-pimc on nanoHUB.


Developed by John Shumway in the Department of Physics at Arizona State University.

Sponsored by

Work supported by NSF Grant No. DMR 0239819 and NRI-SWAN.


  • “Path integral study of the role of correlation in exchange coupling in quantum dots and optical lattices,” by Lei Zhang, M. J. Gilbert, and J. Shumway (submitted, 2008).
  • Double dot model is from: J. Pedersen, C. Flindt, N. A. Mortensen, and A.-P. Jauho, Phys. Rev. B 76, 125323 (2007).

Cite this work

Researchers should cite this work as follows:

  • John Shumway; Matthew Gilbert (2015), "Spin Coupled Quantum Dots," (DOI: 10.4231/D3GF0MW02).

    BibTex | EndNote

Tags, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.