We investigate electronic transport across a magnetic domain wall (DW) in a three-dimensional (3D) second-order topological insulator subject to Anderson disorder. In the clean limit, the DW hosts two co-propagating one-dimensional (1D) topological edge states that act as the two arms of an effective Aharonov-Bohm (AB) interferometer, inducing a sinusoidal conductance oscillation. Upon the introduction of disorder, the AB oscillations are suppressed, while a half-quantized plateau of $0.5 e^2/h$ for the ensemble-averaged conductance emerges. Notably, within this plateau, the conductance fluctuation exhibits a distinctive two-step plateau structure, with values of $\sim 0.35 e^2/h$ at moderate disorder, followed by a second plateau at $\sim0.29 e^2/h$ under strong disorder. By developing theoretical frameworks that account for the random-phase interference and inter-mode mixing of the two arms, we identify the first fluctuation plateau as a signature of the phase-averaging regime (PAR) and the second as a signature of the mode-mixing regime (MMR). Furthermore, we show that, in the PAR the conductance follows a U-shaped beta distribution, while it evolves into a uniform distribution in the MMR. The Fano factor associated with shot noise is also computed, which exhibits a similar two-step plateau structure at $1/4$ and $1/3$, corresponding to the PAR and MMR, respectively. Our work provides a clear demonstration of the disorder-induced crossover from PAR to MMR, and highlights the crucial role of second-order conductance cumulants in identifying these transport regimes. The results suggest disorder-engineering as a powerful route for controlling electronic transport across DW-based devices.
Crossover of conductance and local density of states in a single-channel disordered quantum wire
计算了具有手征对称性的单沟道无序量子线在两种不同几何结构下的介观局域态密度的概率分布。提出了一种近似的解析法来描述单沟道无序量子线的电导和LDOS的概率分布在手征对称类和标准对称类之间的交叉。通过与Schomerus和Titov在Phys. Rev. B \textbf{67}，100201（R）（2003）中引入的大偏差分析法进行比较，讨论了该分析法的准确性。
Disorder averaging in random lattice models with periodic boundary conditions: Application to models with uncorrelated and correlated disorder
Budapest University of Technology and Economics（布达佩斯技术与经济大学）；HUN-REN Wigner Research Centre for Physics（匈牙利研究与教育网络温格物理研究中心）；Universidade do Porto（波尔图大学）；Centro do Física do Porto（波尔图物理中心）；Pázmány Péter Catholic University（帕兹马尼·彼得天主教大学）
Conductance through quantum wires with Levy-type disorder: universal statistics in anomalous quantum transport
在这封信中，我们研究了电导G通过一维量子线与无序配置的长尾分布（列维型无序）的特点。我们解析计算电导分布，揭示了一个普遍的统计：电导分布完全由无序分布的幂律衰减指数α和平均值决定< ln G >，即，无序结构的所有其它细节都是无关紧要的。当0< α< 1时，我们发现ln G的涨落不是自平均的，而是< ln G >随系统长度L^α成比例变化的，这与标准定域标度理论的预测相反，在标准定域标度理论中ln G是一个自平均量，< ln G >随L成线性比例变化。我们的理论结果与一维无序线的数值模拟进行了比较，验证。
An iterative method bridging DFT, disorder averaging, and experiment in intercalated materials: application to Au-intercalated graphene
Université Paris Saclay（巴黎萨克雷大学）；CNRS（法国国家科学研究中心）；CEA（法国原子能和替代能源委员会）；Institut de Physique Théorique（理论物理研究所）；Laboratoire de Physique des Solides（固体物理实验室）；Instituto de Física, Universidade Federal de Goiás（戈亚斯联邦大学物理研究所）；Aix Marseille Univ（艾克斯-马赛大学）；Université de Toulon（土伦大学）；CPT（凝聚态物理中心）；Institut de Sciences des Matériaux de Mulhouse（米卢斯材料科学研究院）；CNRS-UMR 7361 Université de Haute Alsace（上阿尔萨斯大学）
