Two-channel Kondo model as a fixed point of local electron-phonon coupling system
Two-channel Kondo model as a fixed point of local electron-phonon coupling system
复制标题
作为局域电子声子耦合系统不动点的两通道近藤模型
DOI：
10.1143/jpsj.65.3032
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发表时间：
1996
影响因子：
1.7
通讯作者：
K. Miyake
中科院分区：
文献类型：
--
作者：
H. Kusunose;K. Miyake
利用双圈阶乘法重整化群方法，将强耦合局域电子-声子系统的低能有效哈密顿量映射到双通道Kondo模型上.声子被视为爱因斯坦振子与限制希尔伯特空间，使到一个声子的过程被考虑。通过消除传导电子的高能过程，表明离子振动和传导电子之间的某种耦合被选择性地增长。其结果是，该系统是减少到两个通道Kondo模型。交叉温度T K和重整化声子频率Δ x用质量比m/M（m和M为电子和离子的质量）和电子-声子耦合g/D（D为传导电子带宽的一半）表示。如果满足条件T K> Δ x，则与重整化有关的反常行为是可测量的。事实证明，这种合作…
It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is treated as an Einstein oscillator with restricted Hilbert space such that up to one-phonon process is taken into account. By eliminating the high energy process of conduction electrons, it is shown that a certain class of couplings between ion vibrations and conduction electrons is selectively grown up. As a result the system is reduced to the two-channel Kondo model. The crossover temperature T K and the renormalized phonon frequency Δ x are expressed in terms of the mass ratio m / M , m and M being the mass of electron and ion, and the electron-phonon coupling g / D , D being half the bandwidth of conduction electrons. The anomalous behaviors associated with this renormalization can be mesuarable if the condition T K >Δ x is fulfilled. It is demonstrated that such co...