Zaránd Gergely, Borda László, Von Delft Jan, Andrei Natan
Theoretical Physics Department, Budapest University of Technology and Economics, Budafoki út 8, H-1521 Hungary.
Phys Rev Lett. 2004 Sep 3;93(10):107204. doi: 10.1103/PhysRevLett.93.107204.
We use the numerical renormalization group method to calculate the single-particle matrix elements T of the many-body T matrix of the conduction electrons scattered by a magnetic impurity at T=0 temperature. Since T determines both the total and the elastic, spin-diagonal scattering cross sections, we are able to compute the full energy, spin, and magnetic field dependence of the inelastic scattering cross section sigma(inel)(omega). We find an almost linear frequency dependence of sigma(inel)(omega) below the Kondo temperature T(K), which crosses over to a omega(2) behavior only at extremely low energies. Our method can be generalized to other quantum impurity models.
我们使用数值重整化群方法来计算在T = 0温度下,传导电子被磁性杂质散射的多体T矩阵的单粒子矩阵元T。由于T决定了总散射截面和弹性、自旋对角散射截面,我们能够计算非弹性散射截面σ(inel)(ω)的完整能量、自旋和磁场依赖性。我们发现在近藤温度T(K)以下,σ(inel)(ω)几乎呈线性频率依赖性,只有在极低能量下才转变为ω²行为。我们的方法可以推广到其他量子杂质模型。