Chiral Gapless Spin Liquid in Hyperbolic Space
Strongly Correlated Electrons
2025-07-01 v4
Abstract
We analyze the Kitaev model on the hyperbolic lattice. The is formed by a regular tricoordinated tiling of nonagons, where the 3-color coding of bonds according to the inequivalent Kitaev Ising spin couplings yields the natural generalization of the original Kitaev model for Euclidean regular honeycomb tiling. Upon investigation of the bulk spectrum for large finite size droplets, we identify a gapless chiral spin liquid state featuring spontaneous time reversal symmetry breaking. Due to its non-commutative translation group structure, such type of hyperbolic spin liquid is conjectured to feature chiral quasiparticles with a potentially non-Abelian Bloch profile.
Keywords
Cite
@article{arxiv.2407.15705,
title = {Chiral Gapless Spin Liquid in Hyperbolic Space},
author = {Felix Dusel and Tobias Hofmann and Atanu Maity and Rémy Mosseri and Julien Vidal and Yasir Iqbal and Martin Greiter and Ronny Thomale},
journal= {arXiv preprint arXiv:2407.15705},
year = {2025}
}