Wigner molecules in carbon-nanotube quantum dots

Details Wigner molecules in carbon-nanotube quantum dots Wigner molecules in carbon-nanotube quantum dots

2009-08-14

arxiv.org/abs/0908.2092v2

Physical Review B 82, 035417 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages (6 color figures, 3 b/w figures, 3 tables). This paper has been extensively revised, including more theoretical mater

Scientific paper

10.1103/PhysRevB.82.035417

We demonstrate that electrons in quantum dots defined by electrostatic gates in semiconductor nanotubes freeze orderly in space realizing a `Wigner molecule'. Our exact diagonalisation calculations uncover the features of the electron molecule, which may be accessed by tunneling spectroscopy -indeed some of them have already been observed by Deshpande and Bockrath [Nature Phys. 4, 314 (2008)]. We show that numerical results are satisfactorily reproduced by a simple ansatz vibrational wave function: electrons have localized wave functions, like nuclei in an ordinary molecule, whereas low-energy excitations are collective vibrations of electrons around their equilibrium positions.

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