We resolve the controversy regarding the ground state of the parallel double quantum dot system near half filling. The numerical renormalization group (NRG) predicts an underscreened Kondo state with residual spin-1/2 magnetic moment, ln 2 residual impurity entropy, and unitary conductance, while the Bethe Ansatz (BA) solution predicts a fully screened impurity, regular Fermi-liquid ground state, and zero conductance. We calculate the impurity entropy of the system as a function of the temperature using the hybridization-expansion continuous-time quantum Monte Carlo technique, which is a numerically exact stochastic method, and find excellent agreement with the NRG results. We show that the origin of the unconventional behavior in this model is the odd-symmetry "dark state" on the dots.
Comment on: ``Zero temperature conductance of parallel T-shape double quantum dots'' [Physica E 39 (2007) 214, arXiv:0708.1842v1]
在最近的论文[Physica E 39(2007)214,arXiv:0708.1842v1]中,Crisan、Grosu和Tifrea重新研究了通过以T形配置连接到电极的双量子点分子的电导问题。作者得到了一个表达式的电导,不同意以前的结果在文献中。我们指出了他们在推导电导公式时的一个错误,并表明即使对于非相互作用的量子点,它也给出了非物理的结果。