Tosi L, Roura-Bas P, Aligia A A
Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina.
J Phys Condens Matter. 2015 Aug 26;27(33):335601. doi: 10.1088/0953-8984/27/33/335601. Epub 2015 Aug 3.
We calculate the spectral density and occupations of a system of two capacitively coupled quantum dots, each one connected to its own pair of conducting leads, in a regime of parameters in which the total couplings to the leads for each dot Γ(i) are different. The system has been used recently to perform pseudospin spectroscopy by controlling independently the voltages of the four leads. For an odd number of electrons in the system, equal coupling to the leads Γ1 = Γ2, equal dot levels E1 = E2 and sufficiently large interdot repulsion U12 the system lies in the SU(4) symmetric point of spin and pseudospin degeneracy in the Kondo regime. In the more realistic case Γ1 ≠ Γ2, pseudospin degeneracy is broken and the symmetry is reduced to SU(2). Nevertheless, we find that the essential features of the SU(4) symmetric case are recovered by appropriately tuning the level difference δ = E2 - E1. After this tuning, the system behaves as an SU(4) Kondo one at low energies. Our results are relevant for experiments which look for signatures of SU(4) symmetry in the Kondo regime of similar systems.
我们计算了一个由两个电容耦合量子点组成的系统的谱密度和占据情况,每个量子点都连接到其自身的一对导电引线,处于每个量子点与引线的总耦合Γ(i)不同的参数 regime 中。该系统最近被用于通过独立控制四条引线的电压来进行赝自旋光谱学研究。对于系统中电子数为奇数的情况,与引线的耦合相等Γ1 = Γ2,量子点能级相等E1 = E2且点间排斥足够大U12,该系统处于近藤 regime 中自旋和赝自旋简并的SU(4)对称点。在更现实的情况Γ1 ≠ Γ2中,赝自旋简并被打破,对称性降低到SU(2)。然而,我们发现通过适当调整能级差δ = E2 - E1,可以恢复SU(4)对称情况的基本特征。经过这种调整后,系统在低能量下表现为SU(4)近藤系统。我们的结果与在类似系统的近藤 regime 中寻找SU(4)对称性特征的实验相关。