Investigation of challenging spin systems using Monte Carlo configuration interaction and the density matrix renormalization group

2017 ◽  
Vol 38 (31) ◽  
pp. 2701-2712 ◽  
Author(s):  
Jeremy P. Coe ◽  
Nuno M. S. Almeida ◽  
Martin J. Paterson
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Density Matrix ◽  
Configuration Interaction ◽  
Spin Systems ◽  
Density Matrix Renormalization Group ◽  
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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