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首页> 外文期刊>Physical review >Tunable quantum phase transitions in a resonant level coupled to two dissipative baths
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Tunable quantum phase transitions in a resonant level coupled to two dissipative baths

机译：可调谐量子相变处于共振水平，耦合至两个耗散浴

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摘要

We study tunneling through a resonant level connected to two dissipative bosonic baths: one is the resistive environment of the source and drain leads, while the second comes from coupling to potential fluctuations on a resistive gate. We show that several quantum phase transitions (QPT) occur in such a model, transitions which emulate those found in interacting systems such as Luttinger liquids or Kondo systems. We first use bosonization to map this dissipative resonant level model to a resonant level in a Luttinger liquid, one with, curiously, two interaction parameters. Drawing on methods for analyzing Luttinger liquids at both weak and strong coupling, we obtain the phase diagram. For strong dissipation, a Berezinsky-Kosterlitz-Thouless QPT separates strong-coupling and weak-coupling (charge localized) phases. In the source-drain symmetric case, all relevant backscattering processes disappear at strong coupling, leading to perfect transmission at zero temperature. In fact, a QPT occurs as a function of the coupling asymmetry or energy of the resonant level: the two phases are (ⅰ) the system is cut into two disconnected pieces (zero transmission), or (ⅱ) the system is a single connected piece with perfect transmission, except for a disconnected fractional degree of freedom. The latter arises from the competition between the two fermionic leads (source and drain), as in the two-channel Kondo effect.
机译：我们研究通过与两个耗散性的波峰浴相连接的共振能级的隧穿：一种是源极和漏极引线的电阻环境，而第二种则是耦合到电阻栅极上的电势波动。我们证明了在这种模型中会发生几个量子相变（QPT），这些相变模仿了在相互作用系统（如Luttinger液体或Kondo系统）中发现的那些相变。我们首先使用玻化作用将这种耗散共振能级模型映射到Luttinger液体中的共振能级，其中一个具有奇怪的是，具有两个相互作用参数。利用分析弱耦合和强耦合的Luttinger液体的方法，我们获得了相图。为了获得强大的耗散能力，Berezinsky-Kosterlitz-Thouless QPT分离了强耦合和弱耦合（电荷局部化）阶段。在源漏对称的情况下，所有相关的反向散射过程在强耦合时都会消失，从而在零温度下实现完美的传输。实际上，QPT取决于耦合不对称性或共振能级的能量：两相是（are）系统被切成两个断开的部分（零传输），或（ⅱ）系统是单连接的部件具有完美的传动性能，但自由度不相关。后者源于两个铁电离子引线（源极和漏极）之间的竞争，就像在两个通道的近藤效应中一样。

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