Density Matrix Renormalization Group of Gapless Systems

Details Density Matrix Renormalization Group of Gapless Systems Density Matrix Renormalization Group of Gapless Systems

1998-10-08

arxiv.org/abs/cond-mat/9810093v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, RevTex, 5 figures

Scientific paper

10.1103/PhysRevB.59.10493

We investigate convergence of the density matrix renormalization group (DMRG) in the thermodynamic limit for gapless systems. Although the DMRG correlations always decay exponentially in the thermodynamic limit, the correlation length at the DMRG fixed-point scales as $\xi \sim m^{1.3}$, where $m$ is the number of kept states, indicating the existence of algebraic order for the exact system. The single-particle excitation spectrum is calculated, using a Bloch-wave ansatz, and we prove that the Bloch-wave ansatz leads to the symmetry $E(k)=E(\pi -k)$ for translationally invariant half-integer spin-systems with local interactions. Finally, we provide a method to compute overlaps between ground states obtained from different DMRG calculations.

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