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Volumn 80, Issue 3, 2009, Pages

Comment on "scaling behavior of classical wave transport in mesoscopic media at the localization transition"

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EID: 69549121975 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.80.037101 Document Type: Article

Times cited : (8)

References (10)

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10
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- In contrast to Ref., we use a two-dimensional (2D) cutoff qmax =μ/ℓ in the integration over momentum q in Eq. (2) of Ref. and adjust μ=1/3 to obtain the mobility edge in the infinite medium at kℓ=1. The need for a cutoff arises from the failure of the small- q approximation implied by Eq. (1) of Ref. for q>1/ℓ (small distances). The exact way of applying the cutoff (2D or three-dimensional cutoff, exact value of μ, etc.) does not affect scaling with (large) L as far as the cutoff is consistent with the definition of the mobility edge.
- In contrast to Ref., we use a two-dimensional (2D) cutoff qmax =μ/ℓ in the integration over momentum q in Eq. (2) of Ref. and adjust μ=1/3 to obtain the mobility edge in the infinite medium at kℓ=1. The need for a cutoff arises from the failure of the small- q approximation implied by Eq. (1) of Ref. for q>1/ℓ (small distances). The exact way of applying the cutoff (2D or three-dimensional cutoff, exact value of μ, etc.) does not affect scaling with (large) L as far as the cutoff is consistent with the definition of the mobility edge.

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