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

Physics Letters A

Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry

T. C. Choy, F. D. M. Haldane

Published Jun 1, 1982• 72 citations
Publisher
DOI
10.1016/0375-9601(82)90057-3

Related papers

Ground state properties of the degenerate Hubbard chain: 1/N-expansion of the Bethe-Ansatz solution for a lattice system

Kong-Ju-Bock Lee, P. Schlottmann

Physica B Condensed Matter•Apr 1, 1990•9 citations

On the Bethe Ansatz Soluble Degenerate Hubbard Model

Holger Frahm, Andreas Schadschneider

NATO ASI series. Series B : Physics•Jan 1, 1995•8 citations

Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields

Yuanyuan Li, Junpeng Cao, Wen‐Li Yang +2 more

The one-dimensional Hubbard model with arbitrary boundary magnetic fields is solved exactly via the Bethe ansatz methods. With the coordinate Bethe ansatz in the charge sector, the second eigenvalue problem associated with the spin sector is constructed. It is shown that the second eigenvalue problem can be transformed into that of the inhomogeneous XXX spin chain with arbitrary boundary fields which can be solved via the off-diagonal Bethe ansatz method.

arXiv:1311.0432•Nuclear Physics B•Dec 11, 2013•36 citations

Exactly Solvable Bose and Fermi many-body Hamiltonian with higher order terms based on the S2 symmetry

Feng Pan, L. R. Dai

It is shown that the two component Fermi or Bose many-body Hamiltonian, such as the two-orbit fermion pairing and two-site Bose-Hubbard model with arbitrary finite higher order terms can always be solved exactly by using Bethe ansatz vector construction based on the permutation of two components of bosons or fermions involved. As examples of the solution, the extended one-dimensional dimer Bose -Hubbard model with multi-body interactions and the mean-fifield plus orbit-dependent non-separable pairing model with two non-degenerate j-orbits are demonstrated with the eigenstates and the eigen-energy and the related Bethe ansatz equations. It is shown that the main feature of the solutions lies in the fact that the Bethe ansatz vectors can be expressed in terms of binomials of the boson or fermion operators times the related symmetric functions. As the consequence, two-component quantum many-body systems , such as the extended Lipkin-Meshkov-Glick model with higher-order interactions, can be solved in a similar way.

•Aug 3, 2021•0 citations

Broken symmetry instabilities and solutions of the extended Hubbard model

Masa-aki Ozaki, Shoji Yamamoto

Physica C Superconductivity•Dec 1, 1991•0 citations

Bethe-ansatz solution of the t-J model

Sarben Sarkar

The t-J model for strongly correlated electron systems is mapped onto a model with a generalised permutation operator. For a specific value of the ratio t/J this model in one space dimension is shown to be equivalent to that of Lai (1974) and can be solved by the Bethe ansatz. This special point corresponds to supersymmetric invariance of the Hamiltonian.

Journal of Physics A Mathematical and General•May 7, 1990•69 citations
It is shown that the two component Fermi or Bose many-body Hamiltonian, such as the two-orbit fermion pairing and two-site Bose-Hubbard model with arbitrary finite higher order terms can always be solved exactly by using Bethe ansatz vector construction based on the permutation of two components of bosons or fermions involved. As examples of the solution, the extended one-dimensional dimer Bose -Hubbard model with multi-body interactions and the mean-fifield plus orbit-dependent non-separable pairing model with two non-degenerate j-orbits are demonstrated with the eigenstates and the eigen-energy and the related Bethe ansatz equations. It is shown that the main feature of the solutions lies in the fact that the Bethe ansatz vectors can be expressed in terms of binomials of the boson or fermion operators times the related symmetric functions. As the consequence, two-component quantum many-body systems , such as the extended Lipkin-Meshkov-Glick model with higher-order interactions, can be solved in a similar way.