Review of recent progress on numerical studies of the Anderson transition
A review of recent progress in numerical studies of the Anderson transition in three
dimensional systems is presented. From high precision calculations the critical exponent ν
for the divergence of the localization length is estimated to be ν= 1.57±0.02 for the
orthogonal universality class, which is clearly distinguished from ν= 1.43±0.03 for the unitary
universality class. The boundary condition dependences of some quantities at the Anderson
transition are also discussed.
dimensional systems is presented. From high precision calculations the critical exponent ν
for the divergence of the localization length is estimated to be ν= 1.57±0.02 for the
orthogonal universality class, which is clearly distinguished from ν= 1.43±0.03 for the unitary
universality class. The boundary condition dependences of some quantities at the Anderson
transition are also discussed.
Abstract
A review of recent progress in numerical studies of the Anderson transition in three dimensional systems is presented. From high precision calculations the critical exponent ν for the divergence of the localization length is estimated to be ν = 1.57 ± 0.02 for the orthogonal universality class, which is clearly distinguished from ν = 1.43 ± 0.03 for the unitary universality class. The boundary condition dependences of some quantities at the Anderson transition are also discussed.
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