51 citations · 146 across the 27 of their papers we have counts for
4 papers · 2 filters
The -Index of a Pair of Pure States and the Topology of Interacting 1D Superconductors
Anna Mazhar, Jacob Shapiro
We define a relative -index for locally-comparable, parity-invariant pure states on a unital -algebra. We prove that the index is well-def…
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…
Euler Topological Metals in 1D
Yichen Hu, Jacob Shapiro
We give a rigorous one-dimensional formulation of Kane's transport proposal for probing the Euler characteristic of a Fermi sea. For a clean, translation-invariant continuum Hamilt…
Instantons in a Double-Well are Poisson Distributed
Jacob Shapiro
We give a rigorous realization of the dilute instanton picture for a semiclassical Schrödinger operator with a symmetric double-well potential on . Using a localized…