3 papers
cond-mat.str-el2025
Kitaev model in regular hyperbolic tilings
Julien Vidal, Rémy Mosseri
We study the Kitaev model on regular hyperbolic trivalent tilings. Depending on the length of the elementary polygons, we examine two distinct tri-colorings of the tiling. Usin…
cond-mat.str-el2025
Chiral Gapless Spin Liquid in Hyperbolic Space
Felix Dusel, Tobias Hofmann, Atanu Maity +5
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…
cond-mat.str-el2025
Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
Rémy Mosseri, Yasir Iqbal, Roger Vogeler +1
We study the Kitaev model on the trivalent heptagonal Hurwitz hyperbolic tiling. The presence of odd-length loops in the tiling is responsible for a spontaneous time-reversal symme…