Dynamical Symmetry Breaking and Nonlinear Rectification inInversion Symmetric Weyl Metals: A Theoretical Model Based onAxion Electrodynamics

Abstract

Weyl metals, such as Bi1-xSbx, exhibit unique topological properties, including Weyl points and chiral anomalies, which enable symmetry forbidden rectification a phenomenon of converting alternating current (AC) to direct current (DC) in inversion-symmetric systems. Recent advancements in topological materials have highlighted their potential for high-frequency electronics and energy harvesting, yet optimizing rectification efficiency remains a challenge. This study aims to propose and evaluate strategies to enhance rectification efficiency in Weyl metals using a modified van der Pol differential equation, focusing on nonlinearity (μ), driving frequency (ω), driving amplitude (F0), and magnetic field (B). A numerical simulation was conducted over 200time units, analyzing steady state behavior (100–200 units) with ω0=1.0, β=0.2, and initial conditions x(0)=0.1, x ̇(0)=0.0. The van der Pol equation incorporated topological effects, with parameters varied to map DC component (xDC) via contour plots, line graphs, and time series using Python with NumPy, SciPy, and Matplotlib. Optimal rectification (xDC=0.210) was achieved at μ=1.0, ω=1.0, F0=0.25, and B=1.0, a 4.67-fold increase over the baseline (0.075). Resonance at μ=1.0 yielded 0.045, F0=0.25 peaked at 0.013, and B=1.0 enhanced to 0.200, with synergy driving the maximum xDC. The study confirms that tuning μ, ω, F0, and B significantly enhances rectification, leveraging topological properties for efficient DC generation in Weyl metals, with potential for advanced electronics. Future research should integrate tight-binding models with multiple Weyl points and validate findings experimentally under varying conditions. Nanostructuring and hybrid systems are suggested to further boost efficiency.