The ground state energy of the frustrated ferromagnetic spin chain near the transition point

Details The ground state energy of the frustrated ferromagnetic spin chain near the transition point The ground state energy of the frustrated ferromagnetic spin chain near the transition point

2011-04-15

arxiv.org/abs/1104.2946v1

Physics

Condensed Matter

Strongly Correlated Electrons

9pages, 2figures

Scientific paper

The one-dimensional quantum spin-1/2 model with nearest-neighbor ferromagnetic and next-nearest-neighbor antiferromagnetic interaction is considered. The Hamiltonian is first bosonized by using the linear spin wave approximation, and then is treated by using the Green's function approach. An integral expression of the quantum correction to the classical ground state energy is derived. The critical behavior of the ground state energy in the vicinity of the transition point from the ferromagnetic to the singlet ground state is analyzed by numerical calculation, and the result is $-8\gamma^2$.

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