3 papers
cond-mat.dis-nn2026
Lyapunov Exponents as Duality-Invariant Signatures of Critical States
Tong Liu, Gao Xianlong
Critical eigenstates are usually identified through wave-function geometry in a chosen basis, such as participation ratios, multifractal spectra, or finite-size scaling. Here we fo…
cond-mat.dis-nn2026
Unbound States and Mixed Bound--Unbound Phases in Near-Infinitely Deep Potentials
Shujie Cheng, Tong Liu, Gao Xianlong
We investigate the robustness of unbound states in one-dimensional quasiperiodic models with near-infinitely deep potentials. By constructing a deeper extension of the Liu-Xia mode…
physics.plasm-ph2024
Canonical Hamiltonian Guiding Center Dynamics and Its Intrinsic Magnetic Moment
Ruili Zhang, Jian Liu, Tong Liu +3
The concept of guiding center is potent in astrophysics, space plasmas, fusion researches, and arc plasmas to solve the multi-scale dynamics of magnetized plasmas. In this letter,…