Localization bounds for an electron gas
Localization bounds for an electron gas
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DOI：
10.1088/0305-4470/31/32/004
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发表时间：
1998-08-14
期刊：
影响因子：
--
通讯作者：
Graf, GM
中科院分区：
文献类型：
--
作者：
Aizenman, M;Graf, GM
通过使用格林函数的合适分数矩，促进了安德森定位的数学分析。 Related methods permit now a readily accessible derivation of a number of physical manifestations of localization, in regimes of strong disorder, extreme energies, or weak disorder away from the unperturbed spectrum. This work establishes on this basis exponential decay for the modulus of the two-point function, at all temperatures as well as in the ground state, for a Fermi gas within the one-particle approximation.回顾了不同的含义，特别是对于积分量子霍尔效应。
Mathematical analysis of the Anderson localization has been facilitated by the use of suitable fractional moments of the Green function. Related methods permit now a readily accessible derivation of a number of physical manifestations of localization, in regimes of strong disorder, extreme energies, or weak disorder away from the unperturbed spectrum. This work establishes on this basis exponential decay for the modulus of the two-point function, at all temperatures as well as in the ground state, for a Fermi gas within the one-particle approximation. Different implications, in particular for the integral quantum Hall effect, are reviewed.