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

@article{Hida1996DensityMR, title={Density Matrix Renormalization Group Method for Random Quantum One-Dimensional Systems -Application to the Random Spin-1/2 Antiferromagnetic Heisenberg Chain-}, author={Kazuo Hida}, journal={Journal of the Physical Society of Japan}, year={1996}, volume={65}, pages={895-898} }

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 re- normalization 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.

## 28 Citations

Density Matrix Renormalization Group Study of the S= 1/2 Antiferromagnetic Heisenberg Chains with Quasiperiodic Exchange Modulation

- Physics
- 1999

The low energy behavior of the S =1/2 antiferromagnetic Heisenberg chains with precious mean quasiperiodic exchange modulation is studied by the density matrix renormalization group method. Based on…

Adaptive density matrix renormalization group for disordered systems

- PhysicsPhysical Review B
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We propose a simple modification of the density matrix renormalization group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive…

Density matrix renormalization group study of quasiperiodic S=1/2 XXZ chains-comparative study of exchange and field modulations

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Abstract Low energy behavior of the S = 1/2 antiferromagnetic XXZ chains with Fibonacci exchange/field modulation is studied by the density matrix renormalization group method. For both types of…

The density-matrix renormalization group

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- 2005

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather…

Quantum Monte Carlo Study of Random Antiferromagnetic Heisenberg Chain

- Mathematics, Physics
- 1999

Effects of randomness on the spin-1/2 and 1 antiferromagnetic Heisenberg chains are studied using the quantum Monte Carlo method with the continuous-time loop algorithm. We precisely calculated the…

Density-matrix renormalization-group analysis of the spin- 1 2 XXZ chain in an XY symmetric random magnetic field

- Physics
- 2003

The spin-$\frac{1}{2} \mathrm{XXZ}$ chain in a random magnetic field pointing in the Z direction is numerically studied using the density-matrix renormalization-group method. The phase diagram as a…

Density matrix renormalization group study of random dimerized antiferromagnetic Heisenberg chain

- Physics
- 1998

Density Matrix Renormalization Group Study of Random Dimerized Antiferromagnetic Heisenberg Chains

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- 1997

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap…

Corner Transfer Matrix Algorithm for Classical Renormalization Group

- Physics
- 1997

We report a real-space renormalization group (RSRG) algorithm, which is formulated through Baxter's corner transfer matrix (CTM), for two-dimensional ( d = 2) classical lattice models. The new method…

Low Energy Properties of the Random Spin-1/2 Ferromagnetic-Antiferromagnetic Heisenberg Chain

- Physics
- 1997

The low energy properties of the spin-1/2 random Heisenberg chain with ferromagnetic and antiferromagnetic interactions are studied by means of the density matrix renormalization group (DMRG) and…

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