Density Matrix Renormalization Group Method for the Random Quantum One-Dimensional Systems - Application to the Random Spin-1/2 Antiferromagnetic Heisenberg Chain -

TL;DR

This paper extends the density matrix renormalization group method to one-dimensional random quantum systems, specifically calculating the energy gap distribution of a random spin-1/2 antiferromagnetic Heisenberg chain, confirming theoretical predictions.

Contribution

It introduces a generalized DMRG approach for random systems and demonstrates its effectiveness through application to the random Heisenberg chain.

Findings

Energy gap distribution matches renormalization group theory predictions

Method effectively handles randomness in quantum systems

Potential applicability to other disordered systems

Abstract

The density matrix renormalization group method is generalized to one dimensional random systems. Using this method, the energy gap distribution of the spin-1/2 random antiferromagnetic Heisenberg chain is calculated. The results are consistent with the predictions of the renormalization group theory demonstrating the effectiveness of the present method in random systems. The possible application of the present method to other random systems is discussed.