Number of Repetitious States in One Dimensional Hubbard Model: a Density Matrix Renormalization Group Perspective

Authors M. Solaimani

Department of Physics, Qom University of technology, Qom, Iran

Issue Volume 7, Year 2015, Number 4
Dates Received 20 March 2015; revised manuscript received 10 June 2015; published online 24 December 2015
Citation M. Solaimani, J. Nano- Electron. Phys. 7 No 4, 04101 (2015)
PACS Number(s) 78.20.Bh, 71.10.Fd, 71.10. – w, 71.10.Pm
Keywords Density matrix renormalization group, Repetitious states, Reduction of the Hilbert space dimension.
Annotation In this work we investigate some aspects of density matrix renormalization group (DMRG) method. We intuitively show why DMRG works better for open boundary conditions and why the number of sweeps in a periodic system is greater than an open one. We also describe reduction of the Hilbert space dimension using symmetries. Finally, we show that eliminating the repetitious states may help as much as symmetries to reduce the Hilbert space and thus increase the DMRG speed.

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