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Geometric stability of topological lattice phases
T S Jackson1, Gunnar Möller2, Rahul Roy1
1Department of Physics and Astronomy, University of California at Los Angeles, 475 Portola Plaza, Los Angeles, California 90095, USA.
Nature Communications
|November 5, 2015
Summary
Researchers explored geometric conditions for fractional quantum Hall (FQH)-like phases in lattice models. Numerical simulations revealed strong correlations between these conditions and the many-body gap, guiding the creation of robust FQH phases.
Area of Science:
- Condensed Matter Physics
- Topological Phases of Matter
Background:
- The fractional quantum Hall (FQH) effect showcases novel phenomena in topologically ordered states with strong interactions.
- Realizing FQH-like phases in lattice models offers experimental accessibility but requires further theoretical investigation.
Purpose of the Study:
- To investigate the physical relevance of geometric conditions quantifying deviations from Landau level physics in FQH effect.
- To identify key factors for the stability of FQH-like phases in lattice models.
Main Methods:
- Extensive numerical many-body simulations on several lattice models.
- Analysis of geometric conditions previously derived for FQH systems.
Main Results:
- Discovered a remarkable correlation between geometric conditions and the many-body gap in lattice models.
- Identified specific physical factors crucial for the stability of FQH-like phases.
Conclusions:
- The geometric stability hypothesis provides a framework for understanding FQH-like phase stability.
- Developed practical guidelines for achieving robust FQH-like phases in experiments and simulations.
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