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Electric field control of third-order nonlinear Hall effect
Jiaju Yang, Lujun Wei, Yanghui Li, Lina Chen, Wei Niu, Jiarui Chen, Jun Du, Yong Pu
https://arxiv.org/abs/2506.10657

Electric field control of third-order nonlinear Hall effect
The third-order nonlinear Hall effect (NLHE) serves as a sensitive probe of energy band geometric property, providing a new paradigm for revealing the Berry curvature distribution and topological response of quantum materials. In the Weyl semimetal TaIrTe4, we report for the first time that the sign of the third-order NLHE reverses with decreasing temperature. Through scaling law analysis, we think that the third-order NLHE at high (T > 23 K) and low (T < 23 K) temperatures is dominated by Berr…

This https://arxiv.org/abs/2410.14205 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Modelling 1/f Noise in TRNGs via Fractional Brownian Motion
Security of oscillatory true random number generators remains not fully understood due to insufficient understanding of complex $1/f^α$ phase noise. To bridge this gap, we introduce fractional Brownian motion as a comprehensive theoretical framework, capturing power-law spectral densities from white to flicker frequency noise. Our key contributions provide closed-form tractable solutions: (1) a quasi-renewal property showing conditional variance grows with power-law time dependence, enabling…

This https://arxiv.org/abs/2208.04506 has been replaced.
link: https://scholar.google.com/scholar?q=a

Second Order Ensemble Langevin Method for Sampling and Inverse Problems
We propose a sampling method based on an ensemble approximation of second order Langevin dynamics. The log target density is appended with a quadratic term in an auxiliary momentum variable and damped-driven Hamiltonian dynamics introduced; the resulting stochastic differential equation is invariant to the Gibbs measure, with marginal on the position coordinates given by the target. A preconditioner based on covariance under the law of the dynamics does not change this invariance property, and …