Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

physica status solidi (b)

Electromagnetic Response of the η‐Pairing Eigenstate in the Hubbard Model

Gang Su, Mo‐Lin Ge, Bao‐Heng Zhao

Published Oct 1, 1992• 1 citation
Publisher

Abstract

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.
DOI
10.1002/pssb.2221730223

Related papers

Symmetry and Eigenstates of the 3D Hubbard Model in an Electromagnetic Field

Gang Su, Mo‐Lin Ge

Abstract The symmetry and the eigenstates of the 3D Hubbard model in the presence of an external electromagnetic field on a periodic simple cubic lattice are investigated within the pseudospin and spin framework. It is shown that the magnetic flux through the periodic lattice is quantized in units of hc/2e, and in this situation the Hubbard system possesses SO4 symmetry which is proved to be spontaneous breaking in the eigenstates obtained explicitly of the model. The information of ODLRO in those eigenstates is also discussed. The absolute ground state of the Hubbard model is yet obtained, and found that the state may not show superconducting transition.

physica status solidi (b)•Nov 1, 1991•3 citations

Some Remarks on the Thermodynamic Properties of the η Pairing Eigenstate in the Hubbard Model

Gang Su

Some remarks on the discussions of the thermodynamic quantities, such as the transition temperature, critical field, and specific heat jump in the η eigenstate are discussed.

Communications in Theoretical Physics•Sep 1, 1992•0 citations

Two generalizations of η pairing in extended Hubbard models

Hui Zhai

The Hubbard model in bipartite lattice has been rigorously proved to have $\ensuremath{\eta}$-paired states as eigenstates by C. N. Yang [Phys. Rev. Lett. 63, 2144 (1989)]. In this paper, this result is first generalized to a triangular lattice and then even to an arbitrary lattice structure. We also consider its generalization to higher-spin Hubbard models. The conditions under which these models have $\ensuremath{\eta}$-paired states as eigenstates were obtained.

arXiv:cond-mat/0406461•Physical Review B•Jan 26, 2005•14 citations

Symplectic symmetry of Hubbard model and η pairing

Chunyan Sun, B. F. Li, Z. S. Li

By means of symplectic group Sp(2M), the symplectic symmetry of the Hubbard model and the η pairing are investigated to approach the eigenstates which have the largest spin multiplicities. The behavior of the off-diagonal long-range order of these eigenstates is examined by the criterion proposed by Yang and the energy diagram of the corresponding eigenvalues is elucidated by the η pairing mechanism. A basis set which is expressible in terms of η and ηa pairings is proposed.

Journal of Mathematical Physics•Mar 1, 1995•2 citations

η mechanism and Berry’s phase in the Hubbard model with a long-range interaction

Yue-lin Shen, Mo‐Lin Ge

We find eigenstates for a 1/r Hubbard model in terms of the \ensuremath{\eta} pairing mechanism and prove that the model exhibits SO(4) symmetry in its modified form. It turns out that in the presence of a constant magnetic field the \ensuremath{\eta} states share Berry's phase in the adiabatic limit.

Physical review. B, Condensed matter•Oct 15, 1995•0 citations

Exact eigenstates of Hubbard models with and without bond–charge interactions on general graphs

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.

Communications in Theoretical Physics•Jan 19, 2026•0 citations
Abstract The symmetry and the eigenstates of the 3D Hubbard model in the presence of an external electromagnetic field on a periodic simple cubic lattice are investigated within the pseudospin and spin framework. It is shown that the magnetic flux through the periodic lattice is quantized in units of hc/2e, and in this situation the Hubbard system possesses SO4 symmetry which is proved to be spontaneous breaking in the eigenstates obtained explicitly of the model. The information of ODLRO in those eigenstates is also discussed. The absolute ground state of the Hubbard model is yet obtained, and found that the state may not show superconducting transition.
The Hubbard model in bipartite lattice has been rigorously proved to have $\ensuremath{\eta}$-paired states as eigenstates by C. N. Yang [Phys. Rev. Lett. 63, 2144 (1989)]. In this paper, this result is first generalized to a triangular lattice and then even to an arbitrary lattice structure. We also consider its generalization to higher-spin Hubbard models. The conditions under which these models have $\ensuremath{\eta}$-paired states as eigenstates were obtained.
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.