任意量子点在库仑阻塞区非平衡态下的实时重整化群和截断标度
Real-time renormalization group and cutoff scales in nonequilibrium applied to an arbitrary quantum dot in the Coulomb blockade regime
摘要：
我们将非平衡态下的实时重整化群（RG）应用于任意量子点的库仑阻塞机制。在单圈的RG方程，我们包括自洽的内核管理的动力学的减少密度矩阵的点。因此，我们发现，松弛和失相率一般切断RG流。此外，我们包括所有其他截止尺度定义的温度，能量激发，频率和电压。我们将该方法应用于在磁场h_z中的完全各向异性Kondo模型（具有三种不同的交换耦合J_x，J_y和J_z）中的单分子磁体输运。我们计算了微分电导随偏压V的变化，讨论了通过改变各向异性参数J_xJ_yJ_z的符号可以调谐的量子相变。最后，我们计算了各向同性Kondo模型在有限频率Ω处的噪声S（Ω），发现在Ω = V附近，退相速率决定了肩部的高度，单位为dS（Ω）/d Ω。
英文摘要：
We apply the real-time renormalization group (RG) in nonequilibrium to an arbitrary quantum dot in the Coulomb blockade regime. Within one-loop RG-equations, we include self-consistently the kernel governing the dynamics of the reduced density matrix of the dot. As a result, we find that relaxation and dephasing rates generically cut off the RG flow. In addition, we include all other cutoff scales defined by temperature, energy excitations, frequency, and voltage. We apply the formalism to transport through single molecular magnets, realized by the fully anisotropic Kondo model (with three different exchange couplings J_x, J_y, and J_z) in a magnetic field h_z. We calculate the differential conductance as function of bias voltage V and discuss a quantum phase transition which can be tuned by changing the sign of J_x J_y J_z via the anisotropy parameters. Finally, we calculate the noise S(Omega) at finite frequency Omega for the isotropic Kondo model and find that the dephasing rate determines the height of the shoulders in dS(Ω)/d Omega near Omega=V.
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