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

Strong coupling in undoped graphene
Inelastic scattering rate
(Electron-electron interactions)
Relaxation rate ~ T,
like in quantum critical systems!
Fastest possible rate!
MM, L. Fritz, and S. Sachdev, PRB ‘08.
μ >> T: standard 2d
Fermi liquid
μ < T: strongly
coupled relativistic
liquid
“Heisenberg uncertainty principle for well-defined quasiparticles”
( ) 1 2
~ k T E τ ~ α k T
−
≥ Δ = h
Eqp B
int ee B
As long as α(T) ~ 1, energy uncertainty is saturated, scattering is maximal
→ Nearly universal strong coupling features in transport,
similarly as at the 2d superfluid-insulator transition [Damle, Sachdev (1996, 1997)]
−
τ
1
ee
−1
τ ee
=
2
~ α
( k T )
C B
hμ
kBT h
2