论文标题

浴诱导的Luttinger液体中的相变

Bath induced phase transition in a Luttinger liquid

论文作者

Majumdar, Saptarshi, Foini, Laura, Giamarchi, Thierry, Rosso, Alberto

论文摘要

我们研究了XXZ自旋链,在该链中,每种自旋均与零温度下的谐波振荡器的独立欧姆浴耦合。使用玻体化和数值技术,我们显示了由kosterlitz-thouless(kt)跃迁分开的两个阶段的存在。在与浴缸的低耦合时,链条保持在Luttinger液相相位,具有降低但有限的旋转刚度,而高于临界耦合系统的耗散相位,其特征是旋转刚度消失。我们认为传输特性也受到抑制:Luttinger液体是完美的导体,而耗散相显示有限的电阻率。我们的结果表明,浴室的效果可以解释为诱导定位特征的退火障碍。

We study an XXZ spin chain, where each spin is coupled to an independent ohmic bath of harmonic oscillators at zero temperature. Using bosonization and numerical techniques, we show the existence of two phases separated by an Kosterlitz-Thouless (KT) transition. At low coupling with the bath, the chain remains in a Luttinger liquid phase with a reduced but finite spin stiffness, while above a critical coupling the system is in a dissipative phase characterized by a vanishing spin stiffness. We argue that the transport properties are also inhibited: the Luttinger liquid is a perfect conductor while the dissipative phase displays finite resistivity. Our results show that the effect of the bath can be interpreted as annealed disorder inducing signatures of localization.

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