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

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Graphene – a nearly perfect liquid! Anomalously low viscosity (like quark-gluon plasma) “Heisenberg” Doped Graphene & Fermi liquids: (Khalatnikov etc) Undoped Graphene: Conjecture from AdS-CFT: η η η ~ E qpτ ≥ 1 s 2 ∝ n ⋅mv ⋅τ Exact (Boltzmann-Born Approx): → MM, J. Schmalian, and L. Fritz, (PRL 2009) shear viscosity entropy density n ⋅ E F ⋅ hE ( ) 2 k T B Measure of strong coupling: η = > s h kB 1 4π 2 ∝ n ⋅mv ⋅τ → nth ⋅k BT ⋅ = n s ∝ k 2 2 th Bnth α kBT α F h T s ∝ kBn E h F η h ⎛ EF ⎞ ~ ⎜ ⎟ s k ⎝ T ⎠ B 3
Graphene α = 1 T. Schäfer, Phys. Rev. A 76, 063618 (2007). A. Turlapov, J. Kinast, B. Clancy, Le Luo, J. Joseph, J. E. Thomas, J. Low Temp. Phys. 150, 567 (2008)
Page 1 and 2: Relativistic magnetotransport in gr
Page 3 and 4: Quantum critical systems in condens
Page 5 and 6: Relativistic fluid at the Dirac poi
Page 7 and 8: Other relativistic fluids: • Syst
Page 9 and 10: Simplest example exhibiting “quan
Page 11 and 12: Graphene - Fermi liquid? 1. Tight b
Page 13 and 14: Consequences for transport 1. -Coll
Page 15 and 16: Boltzmann approach Boltzmann equati
Page 17 and 18: Hydrodynamics Hydrodynamic collisio
Page 19 and 20: Thermoelectric response S. Hartnoll
Page 21 and 22: Yes! Relativistic hydrodynamics fro
Page 23 and 24: Au+Au collisions at RHIC Quark-gluo
Page 25 and 26: SU(N) transport from AdS/CFT Gravit
Page 27: Compare graphene to Strongly couple
Page 31: Summary • Undoped graphene is str

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

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