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  The J1-J2 Model on the Anisotropic Triangular and the Square Lattice: Similarities and Differences

Schmidt, B., & Thalmeier, P. (2015). The J1-J2 Model on the Anisotropic Triangular and the Square Lattice: Similarities and Differences. Acta Physica Polonica A, 127(2), 324-326. doi:10.12693/APhysPolA.127.324.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-CA08-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-CA0A-A
Genre: Journal Article

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Schmidt, B.1, Author              
Thalmeier, P.2, Author              
Affiliations:
1Burkhard Schmidt, Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863464              
2Peter Thalmeier, Physics of Correlated Matter, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863457              

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 Abstract: The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy, ground states with different magnetic properties can be realized. On the other hand, the J(1)-J(2) model on the square lattice is a well-known example for frustration induced by competing exchange. The classical phase diagrams of the two models are related in a broad range of the control parameter phi - tan(-1)(J(2)/J(1)). In both cases three different types of ground states are realized, each model having a ferromagnetic and an antiferromagnetic region in the phase diagram, and a third phase with columnar magnetic order for the square lattice and an in general incommensurate spiral structure for the triangular lattice. Quantum effects lift degeneracies in the non-FM phases and lead to additional nonmagnetic regions in the phase diagrams. The contribution of zero point fluctuations to ground state energy, wave vector, and ordered moment is discussed.

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 Dates: 2015-02-18
 Publication Status: Published in print
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Title: Acta Physica Polonica A
Source Genre: Journal
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Publ. Info: Warszawa : Państwowe Wydawnictwo Naukowe
Pages: - Volume / Issue: 127 (2) Sequence Number: - Start / End Page: 324 - 326 Identifier: ISSN: 0587-4246
CoNE: /journals/resource/954925532977