Symplectic N and time reversal in frustrated magnetism

Details Symplectic N and time reversal in frustrated magnetism Symplectic N and time reversal in frustrated magnetism

2008-10-28

arxiv.org/abs/0810.5144v2

Physical Review B 79, 014424(2009)

Physics

Condensed Matter

Strongly Correlated Electrons

added references

Scientific paper

10.1103/PhysRevB.79.014424

Identifying the time reversal symmetry of spins as a symplectic symmetry, we develop a large N approximation for quantum magnetism that embraces both antiferromagnetism and ferromagnetism. In SU(N), N>2, not all spins invert under time reversal, so we have introduced a new large N treatment which builds interactions exclusively out of the symplectic subgroup [SP(N)] of time reversing spins, a more stringent condition than the symplectic symmetry of previous SP(N) large N treatments. As a result, we obtain a mean field theory that incorporates the energy cost of frustrated bonds. When applied to the frustrated square lattice, the ferromagnetic bonds restore the frustration dependence of the critical spin in the Neel phase, and recover the correct frustration dependence of the finite temperature Ising transition.

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