Density-Matrix Renormalization-Group Analysis of Quantum Critical Points: I. Quantum Spin Chains
Abstract
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 examine the spin-1 chain at the critical point separating the Haldane gap and dimerized phases. Exponents for the dimer-dimer and the spin-spin correlation functions are consistent with results obtained from bosonization.
Cite
@article{arxiv.cond-mat/0001275,
title = {Density-Matrix Renormalization-Group Analysis of Quantum Critical Points: I. Quantum Spin Chains},
author = {Shan-Wen Tsai and J. B. Marston},
journal= {arXiv preprint arXiv:cond-mat/0001275},
year = {2009}
}
Comments
21 pages, 12 figures, new results and added references, to appear in PRB