Some properties of the η pairing eigenstate in the Hubbard model

X.M. Qiu, Z.J. Wang, H.X. Li +1 more

Jacob Szeftel

Myung-Hoon Chung, E. Orignac, Didier Poilblanc +1 more

Gang Su, Mo‐Lin Ge, Bao‐Heng Zhao

Abstract Some electromagnetic properties of the η‐pairing eigenstate of the Hubbard model are investigated. The persistent current density Js in the eigenstate is discussed, and the distribution of magnetic field in the studied periodic lattice is analyzed. It is shown that the behaviour of the electromagnetic response is peculiar.

Ming-Yong Ye

Abstract We investigate Hubbard models with bond–charge interactions on general graphs. For a Hamiltonian H of such a model, we provide the condition on its parameters under which the η -pairing method can be employed to construct its exact eigenstates. We arrive at this condition by finding that the requirement for the η -pairing state ( η † ) N ∣ 0 〉 to be an eigenstate of H is identical to the requirement for it to be an eigenstate of a Hubbard-type Hamiltonian H m without bond–charge interactions. When the condition for ( η † ) N ∣ 0 〉 to be an eigenstate of the Hubbard-type Hamiltonian H m is satisfied, we demonstrate that there are additional states, distinct from ( η † ) N ∣ 0 〉 , which are also exact eigenstates of H m . Our results enhance the understanding of Hubbard models on general graphs, both with and without bond–charge interactions.

Luis Antonio Pérez, C. Wang