For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions. This provides another proof of the integrability of the model under periodic boundary condition. PACS Numbers: 46.10.+z, 05.40.+j, 05.60.+w e-mail: [email protected] Integrable strong...

We propose the two-leg fermion-ladder models for SU(2|2) and SU(4) cases. The former is exactly the extended Hubbard model proposed by Essler, Korepin and Schoutens. The later is a new model also with η-pairing symmetry which is important for superconductivity. This new extension of the Hubbard model can be solved exactly. PACS: 75.10.Jm, 71.10.Fd, 05.30.Fk. Since the discovery of high-temperat...

We propose the two-leg fermion-ladder models for SU(2|2) and SU(4) cases. The former is exactly the extended Hubbard model proposed by Essler, Korepin and Schoutens. The later is a new model also with η-pairing symmetry which is important for superconductivity. This new extension of the Hubbard model can be solved exactly. PACS: 75.10.Jm, 71.10.Fd, 05.30.Fk. Since the discovery of high-temperat...

Extreme correlations arise as the limit of strong correlations, when the local interaction constant U goes to infinity. This singular limit transforms canonical fermions to noncanonical Hubbard-type operators with a specific graded Lie algebra replacing the standard anticommutators. We are forced to deal with a fundamentally different and more complex lattice field theory. We study the t-J mode...

The general form of a mapping of the spin and charge degrees of freedom of electrons onto spinless fermions and local 'spin'-1 2 operators is derived. The electron Hilbert space is mapped onto a tensor product spin-charge Hilbert space. The single occupancy condition of the t-J model is satisfied exactly without the constraints between the operators required with slave particle methods and the ...

We consider the dynamics of Bose–Hubbard model on general lattices and prove a Lieb–Robinson bound for observables whose supports are separated by an initially almost particle-free region. further obtain maximal velocity particle transport through empty region which also applies to long-range hopping. Our techniques originate in proofs bounds Schrödinger operators scattering theory non-relativi...

At large electron-phonon coupling, the phonon of the Holstein-Hubbard model can be (generally) treated classically. Exact results can be obtained for this model at any band filling and any finite dimension where the Hubbard term with coefficient U is treated rigorously. The existence of chaotic bipolaronic states is proven when U is smaller than a certain value Uc and for an electron-phonon cou...

We consider the extended Hubbard model containing intrasite and intersite Coloumb interactions. This model we apply to a dimer as an interisting and nontrivial example of two interacting ions which possesses exact, analytical solution. We find the eigenvalues Eα and eigenvectors |Eα〉 of the dimer and we represent each part Eα|Eα〉〈Eα| of the dimer Hamiltonian (α = 1, 2, ..., 16) in the second qu...