Density Matrix Renormalization Group Applied to the Ground State of the XY-Spin-Peierls System

Details Density Matrix Renormalization Group Applied to the Ground State of the XY-Spin-Peierls System Density Matrix Renormalization Group Applied to the Ground State of the XY-Spin-Peierls System

1996-04-09

arxiv.org/abs/cond-mat/9604054v1

Physics

Condensed Matter

10 pages, 5 figures. To be published in PRL

Scientific paper

10.1103/PhysRevLett.76.4050

We use the density matrix renormalization group (DMRG) to map out the ground state of a XY-spin chain coupled to dispersionless phonons of frequency $% \omega $. We confirm the existence of a critical spin-phonon coupling $% \alpha _c\propto \omega ^{0.7}$ for the onset of the spin gap bearing the signature of a Kosterlitz-Thouless transition. We also observe a classical-quantum crossover when the spin-Peierls gap $\Delta $ is of order $% \omega $. In the classical regime, $\Delta >\omega $, the mean-field parameters are strongly renormalized by non-adiabatic corrections. This is the first application of the DMRG to phonons.

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