scholarly journals Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group

1997 ◽  
Vol 55 (4) ◽  
pp. 2164-2181 ◽  
Author(s):  
Stefan Rommer ◽  
Stellan Östlund
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Spin Systems ◽  
Wave Functions ◽  
Density Matrix Renormalization Group ◽  
One Dimensional ◽  
Density Matrix Renormalization

DYNAMICS IN ONE-DIMENSIONAL SPIN SYSTEMS – DENSITY MATRIX RENORMALIZATION GROUP STUDY

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2262-2272 ◽  
Author(s):  
S. NISHIMOTO ◽  
M. ARIKAWA
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Boundary Conditions ◽  
Spin Structure ◽  
Spin Systems ◽  
Density Matrix Renormalization Group ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Dynamical Spin ◽  
The One

We study the one-dimensional S = 1/2 Heisenberg model with an 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 conditions as well as the periodic boundary conditions.

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