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Article
Spectrum of the Transfer Matrices of the Spin Chains Associated with the \(A^{(2)}_3\) Lie Algebra
We study the exact solution of quantum integrable system associated with the \(A^{(2)}_3\) ...
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Article
Open AccessSpectrum of the quantum integrable \( {D}_2^{(2)} \) spin chain with generic boundary fields
Exact solution of the quantum integrable D 2 ...
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Article
Open AccessExact solution of the quantum integrable model associated with the twisted \( {\mathrm{D}}_3^{(2)} \) algebra
We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted ...
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Article
Open AccessRoot patterns and energy spectra of quantum integrable systems without U(1) symmetry: the antiperiodic XXZ spin chain
Finding out root patterns of quantum integrable models is an important step to study their physical properties in the thermodynamic limit. Especially for models without U(1) symmetry, their spectra are usually...
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Article
Open AccessT − W relation and free energy of the Heisenberg chain at a finite temperature
A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t − W relation of the quantum transfer matrices. The free energy of the system in a magn...
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Article
Open AccessThermodynamic limit of the spin- \( \frac{1}{2} \) XYZ spin chain with the antiperiodic boundary condition
Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin- 1 ...
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Article
Open AccessOff-diagonal Bethe Ansatz for the \( {D}_3^{(1)} \) model
The exact solutions of the D 3 1 ...
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Article
Open AccessExact solution of the sp(4) integrable spin chain with generic boundaries
The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among t...
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Article
Open AccessSurface energy of the one-dimensional supersymmetric t − J model with unparallel boundary fields
We investigate the thermodynamic limit of the exact solution, which is given by an inhomogeneous T − Q relation, of the one-dimensional supersymmetric t − J model with unparallel boundary magnetic fields. It is s...
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Article
Open AccessOn the Bethe states of the one-dimensional supersymmetric t − J model with generic open boundaries
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the supersymmetric t − J model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of ...
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Article
Open AccessBethe ansatz solutions of the τ 2-model with arbitrary boundary fields
The quantum τ 2-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the correspond...
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Article
Open AccessA representation basis for the quantum integrable spin chain associated with the su(3) algebra
An orthogonal basis of the Hilbert space for the quantum spin chain associated with the su(3) algebra is introduced. Such kind of basis could be treated as a nested generalization of separation of variables (S...
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Article
Open AccessBethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries
We consider the integrable open-chain transfer matrix corresponding to a Y = 0 brane at one boundary, and a Y θ = 0 brane (rotated with the resp...
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Article
Open AccessOff-diagonal Bethe Ansatz solution of the τ 2-model
The generic quantum τ 2-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenv...
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Article
Open AccessExact spectrum of the spin-s Heisenberg chain with generic non-diagonal boundaries
The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s isotropic Heisenberg chain model with generic integrable boundarie...
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Book
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Chapter
The Algebraic Bethe Ansatz
The algebraic Bethe Ansatz method for quantum integrable models was proposed by the Leningrad Group [1–7] in the late 1970s, based on YBE. This method was then generalized to open boundary integrable systems by S...
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Chapter
The Spin- \(\frac{1}{2}\) Torus
The spin- \(\frac{1}{2}\) torus model describes the anisotropic spin chain with antiperiodic boundary conditions or a Möbius-like topological bounda...
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Chapter
The One-Dimensional Hubbard Model
As one of the minimal models for strongly correlated electron systems, the Hubbard model plays a central role in modern condensed matter physics.
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Chapter
The Hierarchical Off-Diagonal Bethe Ansatz
The integrable in higher dimensional quantum space are particularly interesting because of their important applications in quantum field theory.
