Results 21 to 30 of about 862 (261)

Thermodynamic limit of the spin- 1 2 $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition

Journal of High Energy Physics, 2020
Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin- 1 2 $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition.
Zhirong Xin, Yusong Cao, Xiaotian Xu, Tao Yang, Junpeng Cao, Wen-Li Yang   +5 more
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On generalized Q-systems

Journal of High Energy Physics, 2020
We formulate Q-systems for the closed XXZ, open XXX and open quantum- group-invariant XXZ quantum spin chains. Polynomial solutions of these Q-systems can be found efficiently, which in turn lead directly to the admissible solutions of the corresponding ...
Zoltán Bajnok, Etienne Granet, Jesper Lykke Jacobsen, Rafael I. Nepomechie   +3 more
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Lattice integrals of motion of the Ising model on the cylinder [PDF]

Physica A: Statistical Mechanics and its Applications, 2013
We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being $u$ the spectral parameter.
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''New'' boundary conditions in integrable lattice models [PDF]

Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000
4 pages, JHEP proceedings style, talk presented at the TMR conference ``Non-perturbative Quantum Effects 2000''
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New compact construction of eigenstates for supersymmetric spin chains

Journal of High Energy Physics, 2018
The problem of separation of variables (SoV) in supersymmetric spin chains is closely related to the calculation of correlation functions in N=4 $$ \mathcal{N}=4 $$ SYM theory which is integrable in the planar limit.
Nikolay Gromov, Fedor Levkovich-Maslyuk
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A novel class of translationally invariant spin chains with long-range interactions

Journal of High Energy Physics, 2020
We introduce a new class of open, translationally invariant spin chains with long-range interactions depending on both spin permutation and (polarized) spin reversal operators, which includes the Haldane-Shastry chain as a particular degenerate case. The
B. Basu-Mallick, F. Finkel, A. González-López   +2 more
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On zero-remainder conditions in the Bethe ansatz

Journal of High Energy Physics, 2020
We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised ...
Etienne Granet, Jesper Lykke Jacobsen
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Exact solution of the quantum integrable model associated with the Motzkin spin chain

Journal of High Energy Physics, 2023
The Motzkin spin chain is a spin-1 frustration-free model introduced by Shor & Movassagh. The ground state is constructed by mapping random walks on the upper half of the square lattice to spin configurations. It has unusually large entanglement entropy [
Kun Hao, Olof Salberger, Vladimir Korepin   +2 more
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T − W relation and free energy of the Heisenberg chain at a finite temperature

Journal of High Energy Physics, 2021
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 magnetic field is thus obtained by solving the
Pengcheng Lu, Yi Qiao, Junpeng Cao, Wen-Li Yang, Kang jie Shi, Yupeng Wang   +5 more
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Lattice Integrals of Motion of the Ising Model on the Strip [PDF]

Journal of Statistical Physics, 2015
arXiv admin note: substantial text overlap with arXiv:1010 ...
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