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Results 1 - 10
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290
Quasiparticles in the XXZ model
, 2009
"... The coordinate Bethe ansatz solutions of the XXZ model for a one-dimensional spin-1/2 chain are ana-lyzed with focus on the statistical properties of the constituent quasiparticles. Emphasis is given to the special cases known as XX, XXX, and Ising models, where considerable simplications occur. The ..."
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The coordinate Bethe ansatz solutions of the XXZ model for a one-dimensional spin-1/2 chain are ana-lyzed with focus on the statistical properties of the constituent quasiparticles. Emphasis is given to the special cases known as XX, XXX, and Ising models, where considerable simplications occur
The Dynamical Correlation Function of the XXZ Model
, 1994
"... We perform a spectral decomposition of the dynamical correlation function of the spin 1/2 XXZ model into an infinite sum of products of form factors. Beneath the fourparticle threshold in momentum space the only non-zero contributions to this sum are the two-particle term and the trivial vacuum term ..."
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We perform a spectral decomposition of the dynamical correlation function of the spin 1/2 XXZ model into an infinite sum of products of form factors. Beneath the fourparticle threshold in momentum space the only non-zero contributions to this sum are the two-particle term and the trivial vacuum
On solutions of Bethe equations for the XXZ model
, 2003
"... Recently certain identities for solutions of the Bethe equations in the six-vertex model were obtained in [FM]. In the note we give an elementary proof of similar identities for the case of the inhomogeneous arbitrary spin XXX or XXZ model. Though the corresponding calculations can be done in the el ..."
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Recently certain identities for solutions of the Bethe equations in the six-vertex model were obtained in [FM]. In the note we give an elementary proof of similar identities for the case of the inhomogeneous arbitrary spin XXX or XXZ model. Though the corresponding calculations can be done
BETHE’S STATES FOR GENERALIZED XXX AND XXZ MODELS
, 2001
"... For any rational number p0 ≥ 1 we prove an identity of Rogers–Ramanujan– Gordon–Andrews ’ type. Bijection between the space of states for XXZ model and that of XXX model is constructed. 1 ..."
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For any rational number p0 ≥ 1 we prove an identity of Rogers–Ramanujan– Gordon–Andrews ’ type. Bijection between the space of states for XXZ model and that of XXX model is constructed. 1
Correlation functions of the spin-1 analog of the XXZ model
, 1993
"... Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region −1 < q < 0. The method enables one to calculate arbitrary n-point functions in principle. We also report a construction of level 2 ir-r ..."
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Cited by 6 (0 self)
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Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region −1 < q < 0. The method enables one to calculate arbitrary n-point functions in principle. We also report a construction of level 2 ir
Spin-1/2 Staggered XXZ- Model
, 2003
"... We develop the technique of Thermodynamic Bethe Ansatz to investigate the ground state and the spectrum in the thermodynamic limit of the staggered XXZ models proposed recently as an example of integrable ladder model. This model appeared due to staggered inhomogeneity of the anisotropy parameter ∆ ..."
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We develop the technique of Thermodynamic Bethe Ansatz to investigate the ground state and the spectrum in the thermodynamic limit of the staggered XXZ models proposed recently as an example of integrable ladder model. This model appeared due to staggered inhomogeneity of the anisotropy parameter
Metamagnetism in the XXZ-model with next to nearest neighbour coupling
"... We investigate groundstate energies and magnetization curves in the one dimensional XXZ-model with next to nearest neighbour coupling α> 0 and anisotropy ∆ (−1 ≤ ∆ ≤ 1) at T = 0. In between the familiar ferro- and antiferromagnetic phase we find a transition region – called metamagnetic phase – ..."
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We investigate groundstate energies and magnetization curves in the one dimensional XXZ-model with next to nearest neighbour coupling α> 0 and anisotropy ∆ (−1 ≤ ∆ ≤ 1) at T = 0. In between the familiar ferro- and antiferromagnetic phase we find a transition region – called metamagnetic phase
Correlation Functions of Finite XXZ Model with Boundaries
, 1998
"... The finite XXZ model with boundaries is considered. We use the Matrix Product Ansatz (MPA), which was originally developed in the studies on the asymmetric simple exclusion process and the quantum antiferromagnetic spin chain. The MPA tells that the eigenstate of the Hamiltonian is constructed by th ..."
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The finite XXZ model with boundaries is considered. We use the Matrix Product Ansatz (MPA), which was originally developed in the studies on the asymmetric simple exclusion process and the quantum antiferromagnetic spin chain. The MPA tells that the eigenstate of the Hamiltonian is constructed
Dynamical correlation functions of the XXZ model at finite temperature
- J. Phys. A: Math. Theor
"... Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite ..."
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Cited by 7 (0 self)
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Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite
Results 1 - 10
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290
