论文标题
手性量子线的非常规的实易,通过对均衡驱动的点接触结合
Unconventional bosonization of chiral quantum wires coupled through a point-contact driven out of equilibrium
论文作者
论文摘要
引入了通过点接触的非相互作用的fermions进行手性量子线,引入了与电线之间恒定偏置的偶联的非相互作用量子线,并显示出该系统的确切绿色功能,该功能是由本系统的确切绿色函数,该功能以前是由原始作者使用标准方法得出的。使用琼脂化绿色功能获得隧道I-V特性。提出的非常规的琼脂化方案也被证明是内部一致的,因为使用NCBT评估的四点函数与应有的应有的定理相关。在平衡中,与先前工作中获得的相互作用的Luttinger液体的相等时空NCBT绿色函数显示,根据Bethe Ansatz和功能恢复型组预测,显示了普遍的缩放行为。我们期望在存在颗粒间相互作用的情况下,以平衡的形式获得类似的缩放形式。
Non-chiral bosonization technique adapted to study chiral quantum wires with non-interacting fermions coupled through a point-contact with a constant bias between the wires is introduced and is shown to reproduce the exact Green functions of this system which was previously derived by the present authors analytically using standard methods. The tunneling I-V characteristics are obtained using the bosonized Green functions. The proposed unconventional bosonization scheme is also shown to be internally consistent as the four-point functions evaluated using NCBT are shown to be related to the two-point functions through Wick's theorem as it should be. In equilibrium, the equal space-time NCBT Green functions for an interacting Luttinger liquid with impurities obtained in a previous work shows universal scaling behaviour in accordance with Bethe ansatz and functional renormalization group predictions. We expect to obtain a similar scaling form of the tunneling properties out of equilibrium in presence of interparticle interactions.