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math-ph2026
Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model
Noam Borgnia, Jui-Hui Chung, Jacob Shapiro
We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power . Random-current moment bounds, a correlation ine…
math-ph2026
Topological Classification of Insulators: III. Non-interacting Spectrally-Gapped Systems in All Dimensions
Jui-Hui Chung, Jacob Shapiro
We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define…
math-ph2024
Topological Classification of Insulators: II. Quasi-Two-Dimensional Locality
Jui-Hui Chung, Jacob Shapiro
We provide an alternative characterization of two-dimensional locality (necessary e.g. to define the Hall conductivity of a Fermi projection) using the spectral projections of the…