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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Consequences for transport<br />
1. -Collisionlimited conductivity σ <strong>in</strong> clean undoped <strong>graphene</strong>;<br />
-Collisionlimited sp<strong>in</strong> diffusion D s <strong>at</strong> any dop<strong>in</strong>g<br />
2. Graphene - a perfect <strong>quantum</strong> liquid: very small viscosity η!<br />
3. Emergent rel<strong>at</strong>ivistic <strong>in</strong>variance <strong>at</strong> low frequencies!<br />
Despite the break<strong>in</strong>g of rel<strong>at</strong>ivistic <strong>in</strong>variance by<br />
• f<strong>in</strong>ite T,<br />
• f<strong>in</strong>ite μ,<br />
• <strong>in</strong>stantaneous 1/r Coulomb <strong>in</strong>teractions<br />
Collision-dom<strong>in</strong><strong>at</strong>ed transport → rel<strong>at</strong>ivistic hydrodynamics:<br />
a) Response fully determ<strong>in</strong>ed by covariance, thermodynamics, and σ, η<br />
b) Collective cyclotron resonance <strong>in</strong> small magnetic field (low frequency)<br />
Hydrodynamic regime:<br />
(collision-dom<strong>in</strong><strong>at</strong>ed)<br />
τ<br />
− 1<br />
ee >><br />
τ<br />
−1<br />
imp<br />
, ω , ω<br />
typ<br />
c<br />
AC
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