Abstract
In a network of quantum dots1 embedded in a semiconductor structure, no two are the same, and so their individual and collective properties must be measured after fabrication. Here, we demonstrate a ‘level anti-crossing spectroscopy’ (LACS) technique in which the ladder of orbital energy levels of one quantum dot is used to probe that of a nearby quantum dot. This optics-based technique can be applied in situ to a cluster of tunnel-coupled dots, in configurations similar to that predicted for new photonic or quantum information technologies2,3,4,5. Although the lowest energy levels of a quantum dot are arranged approximately in a shell structure6,7,8,9,10, asymmetries or intrinsic physics—such as spin–orbit coupling for holes—may alter level splittings significantly11. We use LACS on a diatomic molecule composed of vertically stacked InAs/GaAs quantum dots and obtain the excited-state level diagram of a hole with and without extra carriers. The observation of excited molecular orbitals, including σ and π bonding states, provides fresh opportunities in solid-state molecular physics. Combined with atomic-resolution microscopy and electronic-structure theory for typical dots, the LACS technique could also enable ‘reverse engineering’ of the level structure and the corresponding optical response12.
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References
Stangl, J., Holý, V. & Baur, G. Structural properties of self-organized semiconductor nanostructures. Rev. Mod. Phys. 76, 725–783 (2004).
Biolatti, E., Iotti, R. C., Zanardi, P. & Rossi, F. Quantum information processing with semiconductor macroatoms. Phys. Rev. Lett. 85, 5647–5650 (2000).
Unold, T., Mueller, K., Lienau, C., Elsaesser, T. & Wieck, A. D. Optical control of excitons in a pair of quantum dots coupled by the dipole–dipole interaction. Phys. Rev. Lett. 94, 137404 (2005).
Emary, C. & Sham, L. J. Optically controlled logic gates for two spin qubits in vertically coupled quantum dots. Phys. Rev. B 75, 125317 (2007).
Imamoǧlu, A. et al. Coupling quantum dot spins to a photonic crystal nanocavity. J. Appl. Phys. 101, 081602 (2007).
Jacac, L., Hawrylak, P. & Wójs, A. Quantum Dots (Springer, Berlin, 1998).
Bimberg, D., Grundmann, M. & Ledentsov, N. N. Quantum Dot Heterostructures (Wiley, New York, 1998).
Bayer, M., Stern, O., Hawrylak, P., Fafard, S. & Forchel, A. Hidden symmetries in the energy levels of excitonic ‘artificial atoms’. Nature 405, 923–926 (2000).
Drexler, H., Leonard, D., Hansen, W., Kotthaus, J. P. & Petroff, P. M. Spectroscopy of quantum levels in charge-tunable InGaAs quantum dots. Phys. Rev. Lett. 73, 2252–2255 (1994).
Blokland, J. H. et al. Hole levels in InAs self-assembled quantum dots. Phys. Rev. B 75, 233305 (2007).
Narvaez, G. A. & Zunger, A. Calculation of conduction-to-conduction and valence-to-valence transitions between bound states in (In,Ga)As/GaAs quantum dots. Phys. Rev. B 75, 085306 (2007).
Ediger, M. et al. Peculiar many-body effects revealed in the spectroscopy of highly charged quantum dots. Nature Phys. 3, 774–779 (2007).
Stinaff, E. A. et al. Optical signatures of coupled quantum dots. Science 311, 636–639 (2006).
Bracker, A. S. et al. Engineering electron and hole tunneling with asymmetric InAs quantum dot molecules. Appl. Phys. Lett. 89, 233110 (2006).
Scheibner, M. et al. Spin fine structure of optically excited quantum dot molecules. Phys. Rev. B 75, 245318 (2007).
Scheibner, M. et al. Photoluminescence spectroscopy of the molecular biexciton in vertically stacked InAs–GaAs quantum dot pairs. Phys. Rev. Lett. 99, 197402 (2007).
Krenner, H. J. et al. Direct observation of controlled coupling in an individual quantum dot molecule. Phys. Rev. Lett. 94, 057402 (2005).
Ortner, G. et al. Control of vertically coupled InGaAs/GaAs quantum dots with electric field. Phys. Rev. Lett. 94, 157401 (2005).
Krenner, H. J. et al. Optically probing spin and charge interactions in a tunable artificial molecule. Phys. Rev. Lett. 97, 076403 (2006).
Szafran, B., Peeters, F. M. & Bednarek, S. Stark effect on the exciton spectra of vertically coupled quantum dots: Horizontal field orientation and nonaligned dots. Phys. Rev. B 75, 115303 (2007).
Degani, M. H. & Maialle, M. Z. Resonances of trion states in quantum dot molecules tuned by an electric field. Phys. Rev. B 75, 115322 (2007).
Bester, G. & Zunger, A. Electric field control and optical signature of entanglement in quantum dot molecules. Phys. Rev. B 72, 165334 (2005).
Beirne, G. J. et al. Quantum light emission of two lateral tunnel-coupled (In,Ga)As/GaAs quantum dots controlled by a tunable static electric field. Phys. Rev. Lett. 96, 137401 (2006).
Xie, Q., Madhukar, A., Chen, P. & Kobayashi, N. P. Vertically self-organized InAs quantum box islands on GaAs(100). Phys. Rev. Lett. 75, 2542–2545 (1995).
Bruls, D. M. et al. Stacked low-growth-rate InAs quantum dots studied at the atomic level by cross-sectional scanning tunneling microscopy. Appl. Phys. Lett. 82, 3758–3760 (2003).
Solomon, G. S., Komarov, S., Harris, J. S. Jr & Yamamoto, Y. Increased size uniformity through vertical quantum dot columns. J. Cryst. Growth 175–176, 707–712 (1997).
Jaskólski, W., Zielinski, M., Bryant, G. W. & Aizpurua, J. Strain effects on the electronic structure of strongly coupled self-assembled InAs/GaAs quantum dots: Tight-binding approach. Phys. Rev. B 74, 195339 (2006).
Garcia, J. M. et al. Intermixing and shape changes during the formation of InAs self-assembled quantum dots. Appl. Phys. Lett. 71, 2014–2016 (1997).
Wasilewski, Z. R., Fafard, S. & McCaffrey, J. P. Size and shape engineering of vertically stacked self-assembled quantum dots. J. Cryst. Growth 201–202, 1131–1135 (1999).
Nosho, B. Z., Barvosa-Carter, W., Yang, M. J., Bennett, B. R. & Whitman, L. J. Interpreting interfacial structure in cross-sectional STM images of III–V semiconductor heterostructures. Surf. Sci. 465, 361–371 (2000).
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We acknowledge partial funding by NSA/ARO and ONR.
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Scheibner, M., Yakes, M., Bracker, A. et al. Optically mapping the electronic structure of coupled quantum dots. Nature Phys 4, 291–295 (2008). https://doi.org/10.1038/nphys882
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DOI: https://doi.org/10.1038/nphys882
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