2 papers
math-ph2025
The index of a pair of pure states and the interacting integer quantum Hall effect
Sven Bachmann, Jacob Shapiro, Clément Tauber +1
We introduce the index of a pair of pure states on a unital C*-algebra, which is a generalization of the notion of the index of a pair of projections on a Hi…
math-ph2025
Tensor category describing anyons in the quantum Hall effect and quantization of conductance
Sven Bachmann, Matthew Corbelli, Martin Fraas +1
In this study, we examine the quantization of Hall conductance in an infinite plane geometry. We consider a microscopic charge-conserving system with a pure, gapped infinite-volume…