SU(4) Heisenberg model on the hyperhoneycomb lattice

I. V. Lukin; A. G. Sotnikov

SU(4) Heisenberg model on the hyperhoneycomb lattice

Strongly Correlated Electrons 2026-06-25 v1

Authors: I. V. Lukin , A. G. Sotnikov

Abstract

We study the ground state of the SU(4) Heisenberg model on the hyperhoneycomb lattice using three-dimensional projected entangled pair states. We show that it is possible to compute physical observables for the ground states using loop expansions, which converge quickly on tree-like lattices. Our extrapolations to the limit of infinite bond dimensions point toward gapless spin-liquid ground state.

Keywords

SU(4) Heisenberg model hyperhoneycomb lattice projected entangled pair states spin liquid loop expansion

Cite

@article{arxiv.2606.27493,
  title  = {SU(4) Heisenberg model on the hyperhoneycomb lattice},
  author = {I. V. Lukin and A. G. Sotnikov},
  journal= {arXiv preprint arXiv:2606.27493},
  year   = {2026}
}