Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain

Details Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain

1995-11-09

arxiv.org/abs/cond-mat/9511044v1

J.Phys. C7 (1995) 8605

Physics

Condensed Matter

17 pages, Standard Latex File + 7 PostScript figures in separate file. Figures also can also be requested from ph1rb@sheffield

Scientific paper

10.1088/0953-8984/7/45/016

We study the $T=0$ frustrated phase of the $1D$ quantum spin-$\frac 12$ system with nearest-neighbour and next-nearest-neighbour isotropic exchange known as the Majumdar-Ghosh Hamiltonian. We first apply the coupled-cluster method of quantum many-body theory based on a spiral model state to obtain the ground state energy and the pitch angle. These results are compared with accurate numerical results using the density matrix renormalisation group method, which also gives the correlation functions. We also investigate the periodicity of the phase using the Marshall sign criterion. We discuss particularly the behaviour close to the phase transitions at each end of the frustrated phase.

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