Relativistic magnetotransport in graphene, at quantum ... - ICTP
Relativistic magnetotransport in graphene, at quantum ... - ICTP
Relativistic magnetotransport in graphene, at quantum ... - ICTP
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Graphene – a nearly perfect liquid!<br />
Anomalously low viscosity (like quark-gluon plasma)<br />
“Heisenberg”<br />
Doped Graphene &<br />
Fermi liquids:<br />
(Khal<strong>at</strong>nikov etc)<br />
Undoped Graphene:<br />
Conjecture from<br />
AdS-CFT:<br />
η<br />
η<br />
η<br />
~ E qpτ<br />
≥ 1<br />
s<br />
2<br />
∝ n ⋅mv<br />
⋅τ<br />
Exact (Boltzmann-Born Approx):<br />
→<br />
MM, J. Schmalian, and L. Fritz, (PRL 2009)<br />
shear viscosity<br />
entropy density<br />
n ⋅ E<br />
F<br />
⋅<br />
hE<br />
( ) 2<br />
k T<br />
B<br />
Measure of strong coupl<strong>in</strong>g:<br />
η<br />
= ><br />
s<br />
h<br />
kB<br />
1<br />
4π<br />
2<br />
∝ n ⋅mv<br />
⋅τ<br />
→ nth<br />
⋅k<br />
BT<br />
⋅ = n s ∝ k<br />
2<br />
2 th<br />
Bnth<br />
α kBT<br />
α<br />
F<br />
h<br />
T<br />
s ∝ kBn<br />
E<br />
h<br />
F<br />
η h ⎛ EF<br />
⎞<br />
~ ⎜ ⎟<br />
s k ⎝ T ⎠<br />
B<br />
3
Change language