4 papers
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…
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…
Essentially Commuting with a Unitary
Jui-Hui Chung, Jacob Shapiro
Let be a unitary operator whose spectrum is the circle. We show that the set of unitaries which essentially commute with (i.e., is compact) is path-…
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…