Exact Ground-State Correlation Functions of the One-Dimensional Strongly Correlated Electron Systems(一次元強相関系の基底状態における厳密な相関関数)

Masanori Yamanaka, Shinsuke Honjo, Yasuhiro Hatsugai +1 more

正弘 城石

Masanori Yamanaka, Mahito Kohmoto

We investigate the effects of randomness in a strongly correlated electron model in one dimension at half-filling. The ground state correlation functions are exactly written by products of 3\ifmmode\times\else\texttimes\fi{}3 transfer matrices and are evaluated numerically. The correlation lengths depend on randomness when the interaction is effectively weak. On the contrary, they are completely insensitive to randomness when the interaction is effectively strong.

Hiroyuki Shiba, Masao Ogata

Edwin Miles Stoudenmire, Lucas O. Wagner, Steven R. White +1 more

We extend the density matrix renormalization group to compute exact ground states of continuum many-electron systems in one dimension with long-range interactions. We find the exact ground state of a chain of 100 strongly correlated artificial hydrogen atoms. The method can be used to simulate 1D cold atom systems and to study density-functional theory in an exact setting. To illustrate, we find an interacting, extended system which is an insulator but whose Kohn-Sham system is metallic.

Edwin Miles Stoudenmire, Lucas O. Wagner, Steven R. White +1 more

We extend the density matrix renormalization group to compute exact ground states of continuum many-electron systems in one dimension with long-range interactions. We find the exact ground state of a chain of 100 strongly correlated artificial hydrogen atoms. The method can be used to simulate 1d cold atom systems and to study density functional theory in an exact setting. To illustrate, we find an interacting, extended system which is an insulator but whose Kohn-Sham system is metallic.