17 citations · 26 across the 8 of their papers we have counts for
4 papers · 1 filter
A mathematical theory of topological invariants of quantum lattice systems
Adam Artymowicz, Anton Kapustin, Bowen Yang
We show that Hall conductance and its non-abelian and higher-dimensional analogs are obstructions to promoting a symmetry of a state to a gauge symmetry. To do this, we define a lo…
Interplay between two mechanisms of resistivity
Anton Kapustin, Gregory Falkovich
Mechanisms of resistivity can be divided into two basic classes: one is dissipative (like scattering on phonons) and another is quasi-elastic (like scattering on static impurities)…
A soluble model of a Non-Equilibrium Steady State: the van Kampen objection and other lessons
Anton Kapustin
A simple model of charge transport is provided by a classical particle in a smooth random potential and a dissipative coupling to the environment in the form of Markovian noise and…
Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theorem
Anton Kapustin, Nikita Sopenko
For any locality-preserving action of a group on a quantum spin chain one can define an anomaly index taking values in the group cohomology of . The anomaly index is a kinem…