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

Boltzmann approach
Boltzmann equation in Born approximation
⎛
⎜
⎝
a.) +, i +, i
−, i
∂ ⎞
+ eE⋅
⎟ f
∂k
⎠
Cb
2
( k,
t)
= I [ k,
t | { f ( k′
, t)
} ] ∝ α ( T )
∂ t
±
coll
±
b.)
−, i
1
2
−
+, i +, i
−, i
+, i +, i
+, i
+, i
−, i
−
2
L. Fritz, J. Schmalian, MM, and S. Sachdev, PRB 2008
+(N − 1)
+, i +, i
−, j
−, j
2
+(N − 1)
+, i +, i +, i +, i
2
+, i
Collision-limited conductivity:
+, i
+(N − 1)
+, j
0.
76
σ ( μ = 0)
= 2
α
+, j
e
2
( T ) h
+, i +, j
−, j
2
−, i
2