Dynamics in One-Dimensional Spin Systems - Density-Matrix Renormalization Group Study

Abstract

We study the one-dimensional $S=1/2$ Heisenberg model with a uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties of chain with lengths up to a few hundreds, and the results are numerically exact in the same sense as 'exact diagonalization' results are. Thus, we can analyze the low-energy spectrum almost in the thermodynamic limit. In this work, we calculate the dynamical spin structure factor and demonstrate the performance of the DDMRG method applying the open-end boundary condition as well as the periodic boundary condition.

11 pages, 6 figures

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• Dynamical density-matrix renormalization-group method
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Cited by in corpus (6)

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• Low-lying excitations of the three-leg spin tube using the density-matrix renormalization group method
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Dynamics in two-leg spin ladder with a four-spin cyclic interaction
• Two-particle Correlation Functions in Cluster Perturbation Theory: Hubbard Spin Susceptibilities
• Low-energy spin excitations of the frustrated ferromagnetic $J_1$-$J_2$ chain material linarite, PbCuSO${}_4$(OH)${}_2$, in applied magnetic fields $\mathbf{H}\parallel b$ axis