An Ising ferromagnet with discontinuous long-range order
An Ising ferromagnet with discontinuous long-range order
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具有不连续长程有序的伊辛铁磁体
DOI：
10.1007/bf01645749
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发表时间：
1971
影响因子：
2.4
通讯作者：
F. Dyson
中科院分区：
文献类型：
--
作者：
F. Dyson
构造了具有长程相互作用的无限一维伊辛铁磁体，并证明其具有以下性质。 (1)M在有限温度下具有有序-无序相变。 (2) 任何与M 结构相同但随着距离的相互作用趋于零的速度比M 更快的伊辛铁磁体都不能发生相变。 （3）长程有序参数（无限距离处自旋-自旋相关性的热平均值）从无序相中的零不连续地跳跃到有序相中的有限值。安德森和索利斯推测所有这三个性质都适用于与近藤效应理论相关的特定伊辛铁磁体。尽管M与Anderson的模型并不完全相同，但M的结果证明了Anderson和Thouless的物理论证的有效性。
An infinite one-dimensional Ising ferromagnetM with long-range interactions is constructed and proved to have the following properties. (1)M has an order-disorder phase transition at a finite temperature. (2) Any Ising ferromagnet of the same structure asM, but with interactions tending to zero with distance more rapidly than those ofM, cannot have a phase-transition. (3) The long-range-order parameter (thermal average of the spin-spin correlation at infinite distance) jumps discontinuously from zero in the disordered phase to a finite value in the ordered phase. All three properties have been conjectured by Anderson and Thouless to hold for a particular Ising ferromagnet which is relevant to the theory of the Kondo effect. AlthoughM is not identical to Anderson's model, the results proved forM support the validity of the physical arguments of Anderson and Thouless.