10 citations · 10 across the 6 of their papers we have counts for
6 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…
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…
Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systems
Marius Lemm, Bruno Nachtergaele, Simone Warzel +1
We consider quantum lattice Hamiltonians and derive recursive spectral relations bridging successive particle number sectors. One relation gives conditions under which the charge g…
The charge gap is greater than the neutral gap in fractional quantum Hall systems
Marius Lemm, Bruno Nachtergaele, Simone Warzel +1
Past studies of fractional quantum Hall systems have found that the charge gap dominates the neutral gap for all relevant parameter choices. We report a wide-ranging proof that thi…
The spectral gap of a fractional quantum Hall system on a thin torus
Simone Warzel, Amanda Young
We study a fractional quantum Hall system with maximal filling in the thin torus limit. The corresponding Hamiltonian is a truncated version of Haldane's pseudopotential…