We propose the $\ensuremath{\pi}$ flux triangular lattice Hubbard model ($\ensuremath{\pi}$ THM) as a prototypical setup to stabilize magnetically disordered quantum states of matter in the presence of charge fluctuations. The quantum paramagnetic domain of the $\ensuremath{\pi}$ THM that we identify for intermediate Hubbard $U$ is framed by a Dirac semimetal for weak coupling and by 120\ifmmode^\circ\else\textdegree\fi{} N\'eel order for strong coupling. Generalizing the Klein duality from spin Hamiltonians to tight-binding models, the $\ensuremath{\pi}$ THM maps to a Hubbard model which corresponds to the $({J}_{\mathrm{H}},{J}_{\mathrm{K}})=(\ensuremath{-}1,2)$ Heisenberg-Kitaev model in its strong coupling limit. The $\ensuremath{\pi}$ THM provides a promising microscopic testing ground for exotic finite- $U$ spin liquid ground states amenable to numerical investigation.We propose the $\ensuremath{\pi}$ flux triangular lattice Hubbard model ($\ensuremath{\pi}$ THM) as a prototypical setup to stabilize magnetically disordered quantum states of matter in the presence of charge fluctuations. The quantum paramagnetic domain of the $\ensuremath{\pi}$ THM that we identify for intermediate Hubbard $U$ is framed by a Dirac semimetal for weak coupling and by 120\ifmmode^\circ\else\textdegree\fi{} N\'eel order for strong coupling. Generalizing the Klein duality from spin Hamiltonians to tight-binding models, the $\ensuremath{\pi}$ THM maps to a Hubbard model which corresponds to the $({J}_{\mathrm{H}},{J}_{\mathrm{K}})=(\ensuremath{-}1,2)$ Heisenberg-Kitaev model in its strong coupling limit. The $\ensuremath{\pi}$ THM provides a promising microscopic testing ground for exotic finite-$U$ spin liquid ground states amenable to numerical investigation.

arXiv:1411.4649Physical Review LettersApr 23, 201520 citations

Spin-Liquid Phase in the Hubbard Model on the Honeycomb Lattice

Zi Yang Meng, Thomas C. Lang, Stefan Weßel +2 more

Springer eBooksDec 11, 20100 citations

Quantum spin liquid in a

\pi

flux triangular lattice Hubbard model

U

is framed by a Dirac semimetal for weak coupling and by 120\ifmmode^\circ\else\textdegree\fi{} N\'eel order for strong coupling. Generalizing the Klein duality from spin Hamiltonians to tight-binding models, the $\ensuremath{\pi}$ THM maps to a Hubbard model which corresponds to the $({J}_{\mathrm{H}},{J}_{\mathrm{K}})=(\ensuremath{-}1,2)$ Heisenberg-Kitaev model in its strong coupling limit. The $\ensuremath{\pi}$ THM provides a promising microscopic testing ground for exotic finite-

U

spin liquid ground states amenable to numerical investigation.