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Topological Quantum Liquids with Long-Range Couplings.

Kristian Patrick¹, Titus Neupert², Jiannis K Pachos¹

¹School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom.

Physical Review Letters

|July 15, 2017

Summary

Researchers explored topological properties of a quantum liquid with infinite-range couplings. They discovered topological Majorana end modes, even with long-range interactions, opening new avenues for topological states of matter.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Materials Science

Background:

Topological systems typically rely on local interactions, limiting the study of long-range coupled systems.
Analytic approaches for topological systems with long-range couplings are scarce.

Purpose of the Study:

To extend the Kitaev chain model to infinite-range couplings.
To investigate the topological properties of such a system.
To explore the existence and stability of Majorana end modes.

Main Methods:

Analytical derivation of topological properties for an infinite-range coupled Kitaev chain.
Investigation of Majorana end modes under different boundary conditions.
Analysis of the stability of topological properties against modifications to coupling ranges.

Main Results:

Demonstrated the emergence of topological phases in a system with infinite-range couplings.
Identified topological zero and nonzero energy Majorana end modes dependent on boundary conditions.
Showed significant stability of analytically derived properties against decaying long-range couplings.

Conclusions:

Infinite-range couplings can support topological phases and Majorana end modes, challenging the notion of locality in topological systems.
The findings are relevant for designing current experiments with variable-range interactions.
This work expands the frontiers of topological states of matter research.