In 3D disordered pseudospin-s fermions the leading quantum interference correction to conductivity has universal magnitude matching conventional metals but sign fixed by parity of 2s, yielding WAL for half-integer s and WL for integer s.
1−iτ v F qcosθ−τ 2v2 F q2 cos2 θ # X k,l,m,n Z 2π 0 dϕ 2π Z π 0 sinθ dθ 2π Γ0 ijklei(iθ1+jϕ1+pθ2+qϕ2)Γrspqei((r+k)θ+(s+q)ϕ This equation can be written in matrix form
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Localization and universality of three-dimensional pseudospin-$s$ fermions
In 3D disordered pseudospin-s fermions the leading quantum interference correction to conductivity has universal magnitude matching conventional metals but sign fixed by parity of 2s, yielding WAL for half-integer s and WL for integer s.