论文标题
相热:从费米液体到不连贯的金属
Phase Thermalization: from Fermi Liquid to Incoherent Metal
论文作者
论文摘要
当系统由大型子系统(浴)和一个小的(探针)组成时,热化意味着将浴缸的温度诱导到探针上。如果同一微观哈密顿人都描述了浴缸和探测器,则热化进一步需要探针吸收浴的相位。我们将此现象称为{\ it相热化}。但是,目前尚不清楚当探针和浴液由不同的微观哈密顿人描述时,这种现象是否可以实现。我们显示{\ IT相位热化}即使微观汉密尔顿人显着差异也是可能的。我们提供了一个明确的例子,其中探针是一种由Majora链实现的费米液体,每一个站点$ n \ gg 1 $ fermions通过随机跳跃进行相互作用,而浴室是由另一个Majoraana链中的一个不连贯的金属,由另一个Majorana链与每个站点$ n> n $ fermions相互作用。在深红色(\ emph {i.e。}下,在非常低的能量)中,探针变成不连贯的金属,具有lyapunov频谱和扩散系数与浴缸相同。
When a system consists of a large subsystem (bath) and a small one (probe), thermalization implies induction of temperature of the bath onto the probe. If both the bath and the probe are described by same microscopic Hamiltonian, thermalization further entails that the probe imbibes the phase of the bath. We refer to this phenomenon as {\it phase thermalization}. However, it is not clear whether this phenomenon is realizable when the probe and the bath are described by different microscopic Hamiltonians. We show {\it phase thermalization} is possible even when the microscopic Hamiltonians differ significantly. We provide an explicit example, where the probe is a Fermi liquid realized by a Majorana chain with $n \gg 1$ fermions per site interacting through random hopping and the bath is an incoherent metal described by another Majorana chain with $N > n$ fermions per site interacting through arbitrarily long range random four-fermion interaction. In deep infrared (\emph{i.e.} at very low energies), the probe turns into an incoherent metal, with Lyapunov spectrum and diffusion coefficient identical to the bath.