A few topics in Graphene physics Antonio H. Castro Neto San Sebastian, May 2008
Coulomb impurity in graphene Vitor M. Pereira, Johan Nilsson, Valeri Kotov Phys.Rev.Lett. 99, (2007); arXiv: Anderson impurity in graphene Bruno Uchoa, Chiung-Yuan Lin, Valeri Kotov, Nuno Peres Phys.Rev.B 77, (2008); arXiv: Outline
V g (V) (1/k ) N im (10 12 cm -2 ) (10 3 cm 2 /Vs) NO 2 Controlling scattering Geim’s group
Tail Mobility (m 2 /V sec) min (e 2 /h) V g (V) conductivity (mS) X V g (V) conductivity (mS) V g (V) conductivity (mS) V g (V) conductivity (mS) 4e 2 /h 4e 2 / h Kim’s group
Pereira et al., Phys.Rev.Lett. 99, (2007);
3D Schroedinger Coupling
Undercritical Supercritical
Andrei’s group
HIC Neutron stars
E N(E) Anderson’s Impurity Model
Non-interacting: U=0 Broadening Energy V=0
Mean-Field
The impurity moment can be switched on and off! U = 1 eV n_down V=1eV, e 0 =0.2 eV n_up
U = 40 meV U = 0.1 eV
Conclusions Impurities in graphene behave in an unusual way when compared to normal metals and semiconductors. One can test theories of nuclear matter under extreme conditions. Control of the magnetic moment formation of transition metals using electric fields.