Anomalous fractional quantum Hall effect and multi-valued Hamiltonians

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We discuss anomalous fractional quantum Hall effect that exists without external magnetic field. We propose that excitations in such systems may be described effectively by non-interacting particles with the Hamiltonians defined on the Brillouin zone with a branch cut. Hall conductivity of such a system is expressed through the one-particle Green function. We demonstrate that for the Hamiltonians of the proposed type this expression takes fractional values times Klitzing constant. Possible relation of the proposed construction with degeneracy of ground state is discussed as well.

Original languageEnglish
Article number355601
JournalJournal of Physics Condensed Matter
Issue number35
StatePublished - Sep 2021


  • fractional Hall effect
  • multi-valued Hamiltonians
  • topological invariants


Dive into the research topics of 'Anomalous fractional quantum Hall effect and multi-valued Hamiltonians'. Together they form a unique fingerprint.

Cite this