2005arXiv (Cornell University)Open access

The Union Jack model: a quantum spin model with frustration on the square lattice

Andrew M. Collins, J P McEvoy, Derek W. Robinson, C. J. Hamer, Weihong, Zheng

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Abstract

A new quantum spin model with frustration, the `Union Jack' model on the square lattice, is analyzed using spin-wave theory. For small values of the frustrating coupling $α$, the system is N{\' e}el ordered as usual, while for large $α$ the frustration is found to induce a canted phase. The possibility of an intermediate spin-liquid phase is discussed.

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A new quantum spin model with frustration, the `Union Jack' model on the square lattice, is analyzed using spin-wave theory. For small values of the frustrating coupling $α$, the system is N{\' e}el ordered as usual, while for large $α$ the frustration is found to induce a canted phase. The possibility of an intermediate spin-liquid phase is discussed.

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Available abstract

A new quantum spin model with frustration, the `Union Jack' model on the square lattice, is analyzed using spin-wave theory. For small values of the frustrating coupling $α$, the system is N{\' e}el ordered as usual, while for large $α$ the frustration is found to induce a canted phase. The possibility of an intermediate spin-liquid phase is discussed.

Key concepts: Frustration, Square lattice, Condensed matter physics, Physics, Lattice (music), Quantum mechanics, Coupling constant, Spin (aerodynamics)

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