One-dimensional Continuum Electronic Structure Calculations with the Density Matrix Renormalization Group

Details One-dimensional Continuum Electronic Structure Calculations with the Density Matrix Renormalization Group One-dimensional Continuum Electronic Structure Calculations with the Density Matrix Renormalization Group

2011-07-12

arxiv.org/abs/1107.2394v2

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures. Content of paper changed substantially to demonstrate that the method can treat very large systems. Paper

Scientific paper

We extend the density matrix renormalization group to compute exact ground states of continuum many-electron systems in one dimension with long-range interactions. To demonstrate the power of this approach, we find the exact ground state of a chain of 100 strongly correlated artificial hydrogen atoms. We expect this method to be important for simulating 1d cold atom systems and for studying density functional theory (DFT) in an exact setting. Not only can we compare DFT approximations with exact results, but we can implement the exact density functional.

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