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Topological phases with long-range interactions
Z-X Gong1,2, M F Maghrebi1,2, A Hu1,3
1Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.
Physical Review. B
|July 6, 2019
Summary
Topological phases of matter can survive long-range interactions if they are frustrated. Unfrustrated interactions destroy these phases, but frustrated interactions preserve them for all interaction strengths.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Topological phases of matter are typically studied in systems with short-range interactions.
- Real-world quantum systems often feature long-range interactions, but their effect on topological phases is poorly understood.
Purpose of the Study:
- Investigate the survival and modification of symmetry-protected topological phases under long-range interactions.
- Determine the conditions under which topological phases persist in systems with 1/r^α interactions.
Main Methods:
- Studied an antiferromagnetic spin-1 chain model with 1/r^α interactions.
- Employed large-scale matrix-product-state simulations.
- Conducted effective-field-theory calculations.
Main Results:
- Discovered two distinct outcomes for topological phases depending on interaction frustration.
- Unfrustrated long-range interactions destroy topological phases for α ≲ 3.
- Frustrated interactions preserve topological phases for all α > 0.
Conclusions:
- Topological phase survival is critically dependent on interaction frustration.
- Findings are consistent across simulations and theoretical calculations.
- The studied models are realizable in trapped-ion quantum simulators for experimental verification.
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