Relativistic magnetotransport in graphene, at quantum ... - ICTP
Relativistic magnetotransport in graphene, at quantum ... - ICTP
Relativistic magnetotransport in graphene, at quantum ... - ICTP
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Dirac fermions <strong>in</strong> <strong>graphene</strong><br />
Honeycomb l<strong>at</strong>tice of C <strong>at</strong>oms<br />
2 massless Dirac cones <strong>in</strong><br />
the Brillou<strong>in</strong> zone:<br />
(Subl<strong>at</strong>tice degree of<br />
freedom ↔ pseudosp<strong>in</strong>)<br />
Fermi velocity (speed of light”)<br />
Close to the two<br />
Fermi po<strong>in</strong>ts K, K’:<br />
Coulomb <strong>in</strong>teractions: F<strong>in</strong>e structure constant<br />
v<br />
F<br />
6 c<br />
≈1.<br />
1⋅10<br />
m s ≈<br />
300<br />
(Semenoff ’84, Haldane ‘88)<br />
Tight b<strong>in</strong>d<strong>in</strong>g dispersion<br />
H<br />
→<br />
≈<br />
p<br />
( p − K)<br />
⋅<br />
r<br />
v p − K<br />
=<br />
r<br />
F<br />
2<br />
e<br />
α ≡<br />
ε hv<br />
F<br />
r<br />
r<br />
σ<br />
vF subl<strong>at</strong>tice<br />
E<br />
= O<br />
( 1)
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