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Topological Quantum Computing Quantum Simulation

Hyperbolic Spin Liquids

arXiv

Authors: Patrick M. Lenggenhager, Santanu Dey, Tomáš Bzdušek, Joseph Maciejko

Year

2024

Paper ID

65447

Status

Preprint

Abstract Read

~2 min

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Abstract

Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations, we extend Kitaev's spin-1/2 honeycomb model to hyperbolic lattices and exploit their non-Euclidean space-group symmetries to solve the model exactly. We elucidate the ground-state phase diagram on the \{8,3\} lattice and find a gapped mathbb{Z}₂ spin liquid with Abelian anyons, a gapped chiral spin liquid with non-Abelian anyons and chiral edge states, and a Majorana metal whose finite low-energy density of states is dominated by non-Abelian Bloch states.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2407.09601 [2] arXiv https://arxiv.org/abs/2407.09601 [3] Publisher https://arxiv.org/abs/2407.09601

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