Data and code for "Exceptional Points as Manifestations of Topological-Charge Breakdown in a Non-Hermitian Skyrmion"
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Symbolic derivations, numerical code, and data supporting the figures and statements of the manuscript "Exceptional Points as Manifestations of Topological-Charge Breakdown in a Non-Hermitian Skyrmion" by Kejun Liu. Contents:- code/d1_projective_PT_flow.py — SymPy verification of the Gilbert equivalence (Sec. 3, Eq. 5).- code/d2_biorthogonal_charge.py — SymPy verification of the biorthogonal two-level model and EP divergence (Sec. 4, Eq. 9; App. B).- code/hpc_biorthogonal_texture.py — eigenstate-texture sweep computing Q_R, Q_B, and minimum phase rigidity over gamma (Fig. 1).- code/make_figures_m0_0.py — generates Fig. 1 (two-charge dichotomy) and Fig. 2 (equatorial EP ring).- code/defend_QB_quantization.py, defend_QB_converge.py — App. B: confirms smooth complex texture gives non-integer Q_B, surviving grid refinement.- code/defend_Omega_closed.py, defend_dOmega_scaling.py — App. B: verifies the charge two-form is closed on the complex quadric.- data/sweep_m0_0.json — the gamma-sweep data plotted in Fig. 1.- data/hpc_biorthogonal_result.json — full HPC run output (symbolic re-verification + sweep).- data/fig1_two_charge_dichotomy.pdf, data/fig2_ep_ring.pdf — publication figures (vector PDF).- derivations/d2_out.log — SymPy output log for the biorthogonal two-level model. Reproduce the figures with: pip install -r requirements.txt && python code/make_figures_m0_0.py eigenvalue-tracking verification, Q_convergence table, phase diagram data; merged figures



