Quantum criticality and minimal conductivity in graphene with long-range disorder.

  title={Quantum criticality and minimal conductivity in graphene with long-range disorder.},
  author={P. M. Ostrovsky and I. Gornyi and A. Mirlin},
  journal={Physical review letters},
  volume={98 25},
  • P. M. Ostrovsky, I. Gornyi, A. Mirlin
  • Published 2007
  • Medicine, Physics
  • Physical review letters
  • We consider the conductivity sigma of graphene with negligible intervalley scattering at half filling. We derive the effective field theory, which, for the case of a potential disorder, is a symplectic-class sigma model including a topological term with theta=pi. As a consequence, the system is at a quantum critical point with a universal value of the conductivity of the order of e(2)/h. When the effective time-reversal symmetry is broken, the symmetry class becomes unitary, and sigma acquires… CONTINUE READING
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