本文研究了二次现场钉扎势在确定<J>与随机热浴相连的同位素无序谐振链中无序平均稳态热流的尺寸（N）依赖性方面的作用。对于两种模型的热浴，即白噪声浴和鲁宾模型的浴，我们发现，N的依赖性<J>是相同的，并取决于钉扎中心的数量存在于链中。在没有钉扎的情况下，<J>~ 1/N^{1/2}，而在存在一个或两个钉扎的情况下，<J>~ 1/N^{3/2}。对于有限个钉扎中心，其中2 <= n << N，我们提供了启发式的论据和数值证据，表明<J>~ 1/N^{n-1/2}。我们讨论我们的结果在最近的实验的背景下的相关性。
英文摘要：
The role of quadratic onsite pinning potentials on determining the size (N) dependence of the disorder averaged steady state heat current <J>, in a isotopically disordered harmonic chain connected to stochastic heat baths, is investigated. For two models of heat baths, namely white noise baths and Rubin's model of baths, we find that the N dependence of <J> is the same and depends on the number of pinning centers present in the chain. In the absence of pinning, <J> ~ 1/N^{1/2} while in presence of one or two pins <J> ~ 1/N^{3/2}. For a finite (n) number of pinning centers with 2 <= n << N, we provide heuristic arguments and numerical evidence to show that <J> ~ 1/N^{n-1/2}. We discuss the relevance of our results in the context of recent experiments.
A glass model of vortex pinning in highly disordered thin superconducting films in magnetic fields $B \ll H_{c2}$ at low temperatures is proposed. Strong collective pinning of a vortex system realized in disordered superconductors that are close to the quantum phase transition to the insulating phase -- such as $\mathrm{In O}_x$, $\mathrm{Nb N}$, $\mathrm{Ti N}$, $\mathrm{Mo Ge}$, nano-granular aluminium, and others -- is considered theoretically for the first time. Utilizing the replica trick developed for the spin glass theory, we demonstrate that such vortex system is in non-ergodic state o…
Electron-phonon mediated heat flow in disordered graphene
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Interface fluctuations in disordered systems: Universality and non-Gaussian statistics
我们采用了一个功能重整化群来研究在$d=4-ε$尺寸的钉扎电位的存在下的接口。与以前的方法相反[D. S. Fisher，Phys. Rev. Lett. { \bf 56}，1964（1986）]我们使用软截止方案。用这里开发的方法，我们确认的值的粗糙度指数$ζ\approx 0.2083 ε$顺序$ε$。超越以前的工作，我们证明了这个指数是普遍的。此外，我们分析了在无序分布和温度作为一个危险的无关变量的作用，产生更高的累积量。
We study the energy absorption in real time of a disordered quantum spin chain subjected to coherent monochromatic periodic driving. We determine characteristic fingerprints of the well-known ergodic (Floquet-ETH for slow driving/weak disorder) and many-body localized (Floquet-MBL for fast driving/strong disorder) phases. In addition, we identify an intermediate regime, where the energy density of the system -- unlike the entanglement entropy a local and bounded observable -- grows logarithmically slowly over a very large time window.
