Non-Abelian SU(2) gauge fields through density wave order and strain in graphene

@article{Gopalakrishnan2012NonAbelianSG,
  title={Non-Abelian SU(2) gauge fields through density wave order and strain in graphene},
  author={Sarang Gopalakrishnan and Pouyan Ghaemi and Shinsei Ryu},
  journal={Physical Review B},
  year={2012},
  volume={86},
  pages={081403}
}
Spatially varying strain patterns can qualitatively alter the electronic properties of graphene, acting as effective valley-dependent magnetic fields and giving rise to pseudo-Landau-level (PLL) quantization. Here, we show that the strain-induced magnetic field is one component of a non-Abelian $SU(2)$ gauge field within the low-energy theory of graphene and identify the other two components as period-3 charge-density waves. We show that these density waves, if spatially varied, give rise to… 

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References

SHOWING 1-10 OF 14 REFERENCES
Nature
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
Rev
  • Mod. Phys., 81, 109
  • 2009
Phys
  • Rev. B, 85, 075111
  • 2012
Nat
  • Phys., 7, 434
  • 2011
Rev
  • Mod. Phys.
  • 2011
and F
  • Guinea, ArXiv:1110.2883
  • 2011
Nat
  • Phys., 6, 30
  • 2010
Phys
  • Rev. B, 81, 081403
  • 2010
Rev
  • Mod. Phys., 82, 3045
  • 2010
Phys
  • Rev. A, 79, 023624
  • 2009
...
1
2
...