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Local Commuting Projector Hamiltonians and the Quantum Hall Effect
Anton Kapustin, Lukasz Fidkowski
We prove that neither Integer nor Fractional Quantum Hall Effects with nonzero Hall conductivity are possible in gapped systems described by Local Commuting Projector Hamiltonians.
Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way
Yu-An Chen, Anton Kapustin, Alex Turzillo +1
We extend the periodic table of phases of free fermions in the ten-fold way symmetry classes to a classification of free fermionic phases protected by an arbitrary on-site unitary…
Bosonization in three spatial dimensions and a 2-form gauge theory
Yu-An Chen, Anton Kapustin
We describe a 3d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 3d spatial lattice to a 2-form gauge theory with an unusual…
Wilsonian effective field theory of 2D van Hove singularities
Anton Kapustin, Tristan McKinney, Ira Z. Rothstein
We study 2D fermions with a short-range interaction in the presence of a van Hove singularity. It is shown that this system can be consistently described by an effective field theo…