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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<strong>Rel<strong>at</strong>ivistic</strong> Hydrodynamics<br />
S. Hartnoll, P. Kovton, MM, and S. Sachdev, Phys. Rev. B 76, 144502 (2007).<br />
Conserv<strong>at</strong>ion laws (equ<strong>at</strong>ions of motion):<br />
Charge conserv<strong>at</strong>ion<br />
Energy/momentum conserv<strong>at</strong>ion<br />
1<br />
T<br />
τ<br />
imp<br />
0ν<br />
μ μ<br />
1. Construct entropy current S = Q T<br />
2. Second law of thermodynamics<br />
3. Covariance<br />
∂<br />
μ<br />
μS ≥<br />
0<br />
Irrelevant <strong>at</strong> small k
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