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Relativistic magnetotransport in graphene, at quantum ... - ICTP

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Collective cyclotron resonance<br />

S. Hartnoll and C Herzog, 2007;<br />

<strong>Rel<strong>at</strong>ivistic</strong> magnetohydrodynamics: pole <strong>in</strong> AC response<br />

Pole <strong>in</strong> the response<br />

c<br />

FL<br />

2<br />

c<br />

( ε + P)<br />

v<br />

m<br />

ω ωc<br />

iγ<br />

− ± =<br />

∗<br />

Collective cyclotron frequency of the rel<strong>at</strong>ivistic plasma<br />

ρ B c<br />

ω = ↔ ω<br />

Broaden<strong>in</strong>g of resonance:<br />

F<br />

MM, and S. Sachdev, 2008<br />

=<br />

e<br />

γ = σ<br />

B<br />

Q<br />

2 ( B c)<br />

2 ( ε + P)<br />

/ v<br />

Observable <strong>at</strong> room temper<strong>at</strong>ure <strong>in</strong> the GHz regime!<br />

c<br />

F

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