2 papers
cond-mat.str-el2026
Inter-Landau-Level Pair Tunneling Rigidifies the Long-Wavelength Structure Factor of the ν=1/3 Laughlin State
Hongyi Liu
A textbook chain of reasoning, originating with Girvin, MacDonald, and Platzman, predicts that Landau-level mixing (LLM) at nu=1/3 should soften the long-wavelength structure facto…
math.DG2026
Poincaré-Einstein 4-manifolds with cusps
Mingyang Li, Hongyi Liu
In this paper, we construct Poincaré-Einstein 4-manifolds with various kinds of cusps. In particular, we construct: (1) Infinite families of Einstein metrics on $(0,\infty)\times…