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4 Generalized t-j Model 1

Shao-Ming Fei, Rui‐Hong Yue

Published Aug 17, 2016• 9 citations
OpenAlex

Abstract

By parameterizing the t-j model we present a new electron correlation model with one free parameter for high-temperature superconductivity. This model is of $SU_{q}(1,2)$ symmetry. The energy spectrums are shown to be modulated by the free parameter in the model. The solution and symmetric structures of the Hilbert space, as well as the Bethe ansatz approach are discussed for special cases.

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Journal of Physics A Mathematical and General•Dec 21, 1996•2 citations
By parameterizing the t-j model we present a new electron correlation model with one free parameter for high-temperature superconductivity. This model is of SUq(1,2)SU_{q}(1,2)SUq​(1,2) symmetry. The energy spectrums are shown to be modulated by the free parameter in the model. The solution and symmetric structures of the Hilbert space, as well as the Bethe ansatz approach are discussed for special cases.
A new lattice model is presented for correlated electrons on the unrestricted 4L{4}^{L}4L-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1}^{L}{\mathbf{C}}^{4}$ (where LLL is the lattice length). It is a supersymmetric generalization of the Hubbard model, but differs from the extended Hubbard model proposed by Essler, Korepin, and Schoutens. The supersymmetry algebra of the new model is superalgebra gl(2 $|$1). The model contains one symmetry-preserving free real parameter which is the Hubbard interaction parameter UUU, and has its origin here in the one-parameter family of inequivalent typical 4-dimensional irreducible representations of gl(2 $|$1). On a one-dimensional lattice, the model is exactly solvable by the Bethe ansatz.
We present a new model describing strongly correlated electrons on a general d-dimensional lattice. It is an extended Hubbard model and it contains the t-J model as a special case. The model naturally describes local electron pairs, which can move coherently at arbitrary momentum. By using an \ensuremath{\eta}-pairing mechanism we can construct eigenstates of the Hamiltonian with off-diagonal long-range order. In the attractive case the exact ground state is superconducting in any number of dimensions. On a one-dimensional lattice, the model is exactly solvable by Bethe ansatz.
By considering the one-parameter family of inequivalent typical four-dimensional irreps of U-q[gl(2 1)], we may construct the anisotropic supersymmetric U model. This is a model for correlated electrons acting on the unrestricted 4(L)-dimensional electronic Hilbert space x(n=1)(L)C(4), where L is the lattice length. An important characteristic of the model is that it contains two symmetry-preserving free real parameters. Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.
We present an algebraic Bethe ansatz for the anisotropic supersymmetric U model for correlated electrons on the unrestricted -dimensional electronic Hilbert space (where L is the lattice length). The supersymmetry algebra of the local Hamiltonian is the quantum superalgebra and the model contains two symmetry-preserving free real parameters; the quantization parameter q and the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of . Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.