2-electron Wigner molecules in carbon nanotube quantum dots: Excited states

We present a detailed theoretical analysis of the Wigner crystal states in confined semiconducting carbon nanotubes. We show by detailed semi-microscopic calculations that the effective exchange interaction has an SU(4) symmetry, and can reach values as large as J ∼ 100 K in weakly screened, small diameter nanotubes, close to the Wigner crystal -electron liquid crossover. This large value of the exchange coupling in the cross-over region also follows from robust scaling arguments. Modeling the nanotube carefully and analyzing the magnetic structure of the inhomogeneous electron crystal, we recover the experimentally observed 'phase boundaries' of Deshpande and Bockrath [V. V. Deshpande and M. Bockrath, Nature Physics 4, 314 (2008)]. Spin-orbit coupling only slightly modifies these boundaries, but breaks the spin symmetry down to SU(2)×SU(2), and in Wigner molecules it gives rise to interesting excitation spectra, reflecting the underlying SU(4) as well as the residual SU(2)×SU(2) symmetries.

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Wigner crystal phases in confined carbon nanotubes

Sárkány

Szirmai

Moca

et al. 2017

Phys. Rev. B

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2-electron Wigner molecules in carbon nanotube quantum dots: Excited states

Cited by 1 publication

References 8 publications

Wigner crystal phases in confined carbon nanotubes

Wigner crystal phases in confined carbon nanotubes

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