148 citations · 575 across the 35 of their papers we have counts for
40 papers
Fractional Hall Conductance of Laughlin States from a Topological Index
Sven Bachmann, Severin Schraven, Jacob Shapiro +1
We provide a rigorous Laughlin-pump argument that establishes the fractional quantization of the Hall conductance directly from the Laughlin state as a topological index. Our proof…
The index of a pair of pure states and the interacting integer quantum Hall effect
Sven Bachmann, Jacob Shapiro, Clément Tauber
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…
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…
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…
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…
Counting eigenvalues of Schrödinger operators using the landscape function
Sven Bachmann, Richard Froese, Severin Schraven
We prove an upper and a lower bound on the rank of the spectral projections of the Schrödinger operator in terms of the volume of the sublevel sets of an effective potentia…