Quantum paramagnet in a ππ flux triangular lattice Hubbard model

preprint2015arXivOpen access

Abstract

We propose the ππ flux triangular lattice Hubbard model (ππ-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 ππ-THM which we identify for intermediate Hubbard U is framed by a Dirac semi-metal for weak coupling and by 120∘{}^{\circ} Néel order for strong coupling. Generalizing the Klein duality from spin Hamiltonians to tight-binding models, the ππ-THM maps to a Hubbard model which corresponds to the (JH,JK)=(−1,2)(J_H, J_K)=(-1,2) Heisenberg-Kitaev model in its strong coupling limit. The ππ-THM provides a promising microscopic testing ground for exotic finite-U spin liquid ground states amenable to numerical investigation.

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