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arXiv · 1506.07894

Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model

Manuel Laubach·Darshan G. Joshi·Johannes Reuther·Ronny Thomale·Matthias Vojta·Stephan Rachel
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Abstract

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we determine the zero-temperature phase diagram: In addition to a paramagnetic metal at small interaction strength $U$ and various antiferromagnetic insulators at large $U$, we find an intermediate-$U$ antiferromagnetic metal. Most interestingly, we also identify a non-magnetic insulating region, extending from intermediate to strong $U$. Using VCA results in the large-$U$ limit, we establish the phase diagram of the corresponding $J_1$-$J_2$-$J_3$ Heisenberg model. This is qualitatively confirmed - including the non-magnetic region - using spin-wave theory. Further analysis reveals a striking similarity to the behavior of the $J_1$-$J_2$ square-lattice Heisenberg model, suggesting that the non-magnetic region hosts a 3D spin-liquid phase.

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Manuel Laubach, Darshan G. Joshi, Johannes Reuther, Ronny Thomale, Matthias Vojta, Stephan Rachel. 2016-01-20. Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model. https://doi.org/10.1103/physrevb.93.041106

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