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arXiv 1702.01611cond-mat.mes-hallmath-phmath.MPnlin.SI
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费米气体中自旋各向异性磁性杂质:Poor man标度方程积分

Spin-anisotropic magnetic impurity in a Fermi gas: poor man's scaling equation integration

Eugene Kogan, Kazuto Noda, Seiji Yunoki

摘要:

考虑自旋各向异性s-d(f)交换(Kondo)模型描述的单个磁性杂质,当电子态密度(DOS)是能量(相对于费米能测量)的幂律函数时,建立自旋各向异性模型的标度方程.我们解决这个方程中包含的条款,直到二阶的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。

英文摘要:

We consider a single magnetic impurity described by the spin--anisotropic s-d(f) exchange (Kondo) model and formulate 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.

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