4 papers · 1 filter
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…
Mermin-Wagner theorems for quantum systems with multipole symmetries
Timo Feistl, Severin Schraven, Simone Warzel
We prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence of higher-order symmetries protects…
Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications
Severin Schraven, Simone Warzel
We present a novel matrix product representation of the Laughlin and related fractional quantum Hall wavefunctions based on a rigorous version of the correlators of a chiral quantu…
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…