Wigner crystal phases in confined carbon nanotubes

L. Sárkány, E. Szirmai, C. P. Moca, L. Glazman, G. Zaránd

Research output: Contribution to journalArticle

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Abstract

We present a detailed theoretical analysis of the Wigner crystal states in confined semiconducting carbon nanotubes. We show by detailed semimicroscopic calculations that the effective exchange interaction has an SU(4) symmetry, and can reach values as large as J∼100K in weakly screened, small diameter nanotubes, close to the Wigner crystal - electron liquid crossover. This large value of the exchange coupling in the crossover 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, Nat. Phys. 4, 314 (2008)1745-247310.1038/nphys895]. 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.

Original languageEnglish
Article number115433
JournalPhysical Review B
Volume95
Issue number11
DOIs
Publication statusPublished - Mar 27 2017

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Carbon Nanotubes
Carbon nanotubes
carbon nanotubes
Nanotubes
Crystals
nanotubes
crossovers
symmetry
crystals
Exchange coupling
Electrons
Magnetic structure
Exchange interactions
Phase boundaries
Orbits
electrons
orbits
scaling
Molecules
Liquids

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Sárkány, L., Szirmai, E., Moca, C. P., Glazman, L., & Zaránd, G. (2017). Wigner crystal phases in confined carbon nanotubes. Physical Review B, 95(11), [115433]. https://doi.org/10.1103/PhysRevB.95.115433

Wigner crystal phases in confined carbon nanotubes. / Sárkány, L.; Szirmai, E.; Moca, C. P.; Glazman, L.; Zaránd, G.

In: Physical Review B, Vol. 95, No. 11, 115433, 27.03.2017.

Research output: Contribution to journalArticle

Sárkány, L, Szirmai, E, Moca, CP, Glazman, L & Zaránd, G 2017, 'Wigner crystal phases in confined carbon nanotubes', Physical Review B, vol. 95, no. 11, 115433. https://doi.org/10.1103/PhysRevB.95.115433
Sárkány, L. ; Szirmai, E. ; Moca, C. P. ; Glazman, L. ; Zaránd, G. / Wigner crystal phases in confined carbon nanotubes. In: Physical Review B. 2017 ; Vol. 95, No. 11.
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