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

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

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Compare <strong>graphene</strong> to<br />

Strongly coupled rel<strong>at</strong>ivistic liquids<br />

S. Hartnoll, P. Kovtun, MM, S. Sachdev (2007)<br />

Obta<strong>in</strong> exact results via str<strong>in</strong>g theoretical AdS–CFT correspondence<br />

• Confirm the results of hydrodynamics: response functions σ(ω), resonances<br />

• Calcul<strong>at</strong>e the transport coefficients for a strongly coupled theory!<br />

3 2<br />

shear<br />

SUSY - SU(N): σ ( μ = 0 ) = N ; ( μ = )<br />

Interpret<strong>at</strong>ion:<br />

2<br />

9<br />

e<br />

h<br />

2<br />

η<br />

s<br />

0 =<br />

1 h<br />

4π<br />

k<br />

3 2<br />

N effective degrees of freedom, strongly coupled: τT = O(1)<br />

B

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