Title: Incomplete Localization for Disordered Chiral Strips Show Chinese title

Title: 无序手性条带的不完全定位

Abstract: We prove that a disordered analog of the Su-Schrieffer-Heeger model exhibits dynamical localization (i.e. the fractional moments condition) at all energies except possibly zero energy, which is singled out by chiral symmetry. Localization occurs at arbitrarily weak disorder, provided it is sufficiently random. If furthermore the hopping probability measures are properly tuned so that the zero energy Lyapunov spectrum does not contain zero, then the system exhibits localization also at that energy, which is of relevance for topological insulators. The method also applies to the usual Anderson model on the strip. Show Chinese abstract

Abstract: 我们证明了Su-Schrieffer-Heeger模型的无序类似物在所有能量下表现出动力学局域化（即分数矩条件），除了可能的零能级，该能级由手性对称性单独标出。在无序足够弱但足够随机的情况下，会发生局域化。如果进一步调整跃迁概率测度，使得零能级的李雅普诺夫谱不包含零，则系统在该能级也会表现出局域化，这对于拓扑绝缘体具有重要意义。该方法也适用于条带上的通常Anderson模型。