Density-matrix renormalization-group analysis of quantum critical points: Quantum spin chains

@article{Tsai2000DensitymatrixRA,
  title={Density-matrix renormalization-group analysis of quantum critical points: Quantum spin chains},
  author={Shan-Wen Tsai and J. B. Marston},
  journal={Physical Review B},
  year={2000},
  volume={62},
  pages={5546-5557}
}
We present a simple method, combining the density-matrix renormalization-group (DMRG) algorithm with finite-size scaling, which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by boundary conditions at the chain ends and these exhibit power-law decay at critical points. Results are presented for the spin-1/2 Heisenberg antiferromagnet; an analytic calculation shows that logarithmic corrections to scaling can sometimes be avoided. We also… 

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