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- W2016113843 abstract "We consider a multichannel network model to study the localization problem of noninteracting fermions in a random magnetic field with zero average. We argue that the number of channels M is even. After averaging over the randomness, the network is mapped onto M coupled SU(2N) spin chains in the Nensuremath{rightarrow}0 limit. In the large conductance limit g=M(${mathit{e}}^{2}$/2ensuremath{pi}ensuremath{Elzxh}) (Mensuremath{gg}2), it turns out that this system is equivalent to a particular representation of the U(2N)/U(N)ifmmodetimeselsetexttimesfi{}U(N) sigma model (Nensuremath{rightarrow}0) without a topological term. The beta function ensuremath{beta}(1/M) of this sigma model in the 1/M expansion is consistent with the previously known ensuremath{beta}(g) of the unitary ensemble. These results and further arguments support the conclusion that all the states are localized." @default.
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- W2016113843 modified "2023-09-26" @default.
- W2016113843 title "Network model of localization in a random magnetic field" @default.
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- W2016113843 doi "https://doi.org/10.1103/physrevb.52.16646" @default.
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