Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
April 15, 2000Physical review. B, Condensed matterOpen Access

Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect

View Full Paper
Ask AI
Bookmark
Share

Authors

NRN. ReadAustralian National UniversityDGDmitry GreenBoston University

Discussion

Loading...

Member takes

Implication

Randomized trial analyzes pairing states and their topological properties in two-dimensional fermions, indicating implications for quantum Hall effects.

Key Points

  • This analysis focuses on the pairing of fermions in two dimensions, specifically examining how broken symmetries affect topological phases.
  • Analysis of pairing in fully gapped conditions with broken parity and time-reversal symmetries.
  • Derivation of Hall conductivity for conserved spin as a topological invariant.
  • Investigation of phase transitions between weak and strong pairing states using asymptotic properties.
  • Identified weak-pairing phase shares properties with the Moore-Read quantum Hall state, demonstrating nonabelian statistics.
  • Transitions between weak-pairing (abelian) and strong-pairing phases involve bulk Majorana fermions.
  • Explored the effects of disorder, showing phases survive but introduce thermally conducting intermediate states in specific cases.

Cite This Study

Read et al. (2000) studied this question.

synapsesocial.com/papers/6a072a8cd9167a9c2a584c92https://doi.org/10.1103/physrevb.61.10267
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations1983 · 5,754 citations
  2. 2Theory of the half-filled Landau level1993 · 1,740 citations
  3. 3Topological order and edge structure of ν=1/2 quantum Hall state1993 · 82 citations
  4. 4Nonabelions in the fractional quantum hall effect1991 · 2,979 citations