Two parameter scaling in the crossover from symmetry class BDI to AI
Two parameter scaling in the crossover from symmetry class BDI to AI
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从对称类 BDI 到 AI 交叉中的两个参数缩放
DOI：
10.1103/physrevb.105.174204
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Saumitran Kasturirangan, Alex Kamenev
中科院分区：
文献类型：
--
作者：
Saumitran Kasturirangan, Alex Kamenev
研究了一维链状和具有跳跃无序的金属扶手椅型石墨烯纳米带的输运统计特性，重点研究了零能临界点与较大能量下局域态之间的交叉.在这个交叉区域，输运被发现是由一个两个参数的比例与系统的大小，平均自由程，和productofenergy和散射时间。这两个参数的缩放显示了良好的数据崩溃在各种各样的系统大小，能量和无序强度。数值计算得到的输运分布在这个政权被发现是很好地描述了Nakagami分布，其形式是控制到一个整体缩放的比例。对于这个参数足够小的值，运输似乎几乎相同的零能量临界点，而在大的值，高斯分布对应的指数本地化恢复。对于中间值，分布在这两个极限之间平滑插值。
The transport statistics of the 1D chain and metallic armchair graphene nanoribbons with hopping disorder are studied, with a focus on understanding the crossover between the zero-energy critical point and the localized regime at larger energy. In this crossover region, transport is found to be described by a two parameter scaling with the ratioof system size to mean free path, and the productof energy and scattering time. This two parameter scaling shows excellent data collapse across a wide a variety of system sizes, energies, and disorder strengths. The numerically obtained transport distributions in this regime are found to be well described by a Nakagami distribution, whose form is controlled up to an overall scaling by the ratio. For sufficiently small values of this parameter, transport appears virtually identical to that of the zero-energy critical point, while at large values, a Gaussian distribution corresponding to exponential localization is recovered. For intermediate values, the distribution interpolates smoothly between these two limits.
一维安德森模型中能带中心附近的异常定位：哈密顿图方法
影响因子：
3.3
作者：
L. Tessieri;I. F. Herrera;F. Izrailev
通讯作者：
F. Izrailev