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

Автор(ы) M. Solaimani

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

Выпуск Том 7, Год 2015, Номер 4
Даты Получено 20.03.2015, в отредактированной форме – 10.06.2015, опубликовано online – 24.12.2015
Ссылка 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
Ключевые слова Density matrix renormalization group, Repetitious states, Reduction of the Hilbert space dimension.
Аннотация 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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