Localization length exponent in quantum percolation

Iksoo Chang; Zvi Lev; A. B. Harris; Joan Adler; Amnon Aharony

doi:10.1103/PhysRevLett.74.2094

Localization length exponent in quantum percolation

Iksoo Chang, Zvi Lev, A. B. Harris, Joan Adler, Amnon Aharony

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Abstract

Connecting perfect one-dimensional leads to sites i and j on the quantum percolation (QP) model, we calculate the transmission coefficient Tij(E) at an energy E near the band center and the averages of ijTij, ijrij2Tij, and ijrij4Tij to tenth order in the concentration p. In three dimensions, all three series diverge at pq=0.36-0.02+0.01, with exponents =0.82-0.15+0.10, +2, and +4. We find =0.380.07, differing from usual Anderson localization and violating the bound 2/d of Chayes et al. [Phys. Rev. Lett. 57, 2999 (1986)]. Thus, QP belongs to a new universality class.

Original language	English
Pages (from-to)	2094-2097
Number of pages	4
Journal	Physical Review Letters
Volume	74
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.74.2094
State	Published - 1 Jan 1995
Externally published	Yes

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General Physics and Astronomy

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title = "Localization length exponent in quantum percolation",

abstract = "Connecting perfect one-dimensional leads to sites i and j on the quantum percolation (QP) model, we calculate the transmission coefficient Tij(E) at an energy E near the band center and the averages of ijTij, ijrij2Tij, and ijrij4Tij to tenth order in the concentration p. In three dimensions, all three series diverge at pq=0.36-0.02+0.01, with exponents =0.82-0.15+0.10, +2, and +4. We find =0.380.07, differing from usual Anderson localization and violating the bound 2/d of Chayes et al. [Phys. Rev. Lett. 57, 2999 (1986)]. Thus, QP belongs to a new universality class.",

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T1 - Localization length exponent in quantum percolation

AU - Chang, Iksoo

AU - Lev, Zvi

AU - Harris, A. B.

AU - Adler, Joan

AU - Aharony, Amnon

PY - 1995/1/1

Y1 - 1995/1/1

N2 - Connecting perfect one-dimensional leads to sites i and j on the quantum percolation (QP) model, we calculate the transmission coefficient Tij(E) at an energy E near the band center and the averages of ijTij, ijrij2Tij, and ijrij4Tij to tenth order in the concentration p. In three dimensions, all three series diverge at pq=0.36-0.02+0.01, with exponents =0.82-0.15+0.10, +2, and +4. We find =0.380.07, differing from usual Anderson localization and violating the bound 2/d of Chayes et al. [Phys. Rev. Lett. 57, 2999 (1986)]. Thus, QP belongs to a new universality class.

AB - Connecting perfect one-dimensional leads to sites i and j on the quantum percolation (QP) model, we calculate the transmission coefficient Tij(E) at an energy E near the band center and the averages of ijTij, ijrij2Tij, and ijrij4Tij to tenth order in the concentration p. In three dimensions, all three series diverge at pq=0.36-0.02+0.01, with exponents =0.82-0.15+0.10, +2, and +4. We find =0.380.07, differing from usual Anderson localization and violating the bound 2/d of Chayes et al. [Phys. Rev. Lett. 57, 2999 (1986)]. Thus, QP belongs to a new universality class.

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Localization length exponent in quantum percolation

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