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math-ph2024
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…
math-ph2024
Many-body Fu-Kane-Mele index
Sven Bachmann, Alex Bols, Mahsa Rahnama
We define a -valued index for stably short-range entangled states of two-dimensional fermionic lattice systems with charge conservation and time reversal symmetry. Th…
math-ph2024
Two-sided Lieb-Thirring bounds
Sven Bachmann, Richard Froese, Severin Schraven
We prove upper and lower bounds for the number of eigenvalues of semi-bounded Schrödinger operators in all spatial dimensions. As a corollary, we obtain two-sided estimates for the…