Towards AN Exact Solution of the Anderson Model
Towards AN Exact Solution of the Anderson Model
复制标题
迈向安德森模型的精确解
DOI：
10.1142/9789814317344_0025
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
P. Wiegmann
中科院分区：
文献类型：
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作者：
P. Wiegmann
求解（1）时采用的简化假设与之前用于构造近藤问题（sd交换模型）精确解的假设相同[2，3]。我们假设：（1）V不依赖于k。(2)与费米能量相比，振幅U、艾德、v2是小的。这些假设意味着，首先，问题是一个球对称的，因此，减少到一个一维的问题。第二，可以忽略远离费米面的电子态，因此在k = kr附近，谱可以被认为是线性的：e（k）=（|K| − kF）VF。因此，我们可以用沿着沿着与杂质位置相交的任意直线的坐标来重新表述这个问题[2，3]：
The simplifying assumptions adopted while solving (1) are the same as those used previously to construct an exact solution of the Kondo problem (sd-exchange model)[2, 3]. We suppose that:(1) V does not depend on k.(2) the amplitudes U, ed, v2 are small compared with the Fermi energy. These assumptions imply that first of all the problem is a spherically symmetric one and, consequently, reduces to a one-dimensional problem. Secondly, one can neglect electron states far from the Fermi surface, so that in the vicinity of k≈ kr the spectrum may be considered as a linear one: e (k)=(| k|− kF) VF. Thus one can reformulate the problem in terms of the coordinate along an arbitrary straight line intersecting the impurity position [2, 3]: