Spin-anisotropic magnetic impurity in a Fermi gas: Integration of poor man's scaling equations
Spin-anisotropic magnetic impurity in a Fermi gas: Integration of poor man's scaling equations
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费米气体中的自旋各向异性磁性杂质：穷人标度方程的积分
DOI：
10.1103/physrevb.95.165412
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发表时间：
2017
影响因子：
3.7
通讯作者：
Seiji Yunoki
中科院分区：
文献类型：
--
作者：
Eugene Kogan;Kazuto Noda;Seiji Yunoki
我们考虑一个单一的磁性杂质所描述的自旋各向异性交换（近藤）模型和制定的自旋各向异性模型的标度方程时，态密度（DOS）的电子是一个幂律函数的能量（测量相对于费米能量）。我们解决这个方程中包含的条款，直到二阶耦合常数的椭圆函数。从得到的解决方案，我们发现相对应的无限各向同性反铁磁海森堡交换，杂质自旋去耦的电子环境（仅为赝隙DOS），和无限伊辛交换（仅为发散DOS）。我们分析的临界面，对应于有限的各向同性反铁磁海森堡交换的赝隙DOS。
We consider a single magnetic impurity described by the spin-anisotropicexchange (Kondo) model and formulate a scaling equation for the spin-anisotropic model when the density of states (DOS) of electrons is a power-law function of energy (measured relative to the Fermi energy). We solve this equation containing terms up to the second order in coupling constants in terms of elliptic functions. From the obtained solution we find the phases corresponding to the infinite isotropic antiferromagnetic Heisenberg exchange, to the impurity spin decoupled from the electron environment (only for the pseudogap DOS), and to the infinite Ising exchange (only for the diverging DOS). We analyze the critical surfaces, corresponding to the finite isotropic antiferromagnetic Heisenberg exchange for the pseudogap DOS.