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

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...

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Bibliographic Details
Published in:Physical review. B 2016-01, Vol.93 (4), Article 041106
Main Authors: Laubach, Manuel, Joshi, Darshan G., Reuther, Johannes, Thomale, Ronny, Vojta, Matthias, Rachel, Stephan
Format: Article
Language:English
Subjects:
Antiferromagnetism
Condensed matter
Insulators
Phase diagrams
Similarity
Spin liquid
Three dimensional models
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Summary: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 nonmagnetic 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 sub(1)-J sub(2)-J sub(3) Heisenberg model. This is qualitatively confirmed-including the nonmagnetic region-using spin-wave theory. Further analysis reveals a striking similarity to the behavior of the J sub(1)-J sub(2) square-lattice Heisenberg model, suggesting that the nonmagnetic region may host a 3D spin-liquid phase.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.93.041106