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Generalized parafermionic theory and integrable lattice models
Physical Review Letters, 1990Summary: We show that the criticality of integrable lattice models based on the Lie algebras \(A_ n\), \(D_ n\), \(E_ n\) can be understood as the product of certain numbers of bosonic fields and a generalized parafermionic (fractional spin) theory (GPT). We compute the central charge of the GPT using the thermodynamic Bethe ansatz approach.
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A continuous-integral method for spin lattice models
Il Nuovo Cimento A, 1978A new method for spin lattice models is developed. An algorithm for the construction of the continuous-integral representation for the partition function is formulated. A method for finding the critical point of the two-dimensional models is developed.
E. S. Fradkin, D. M. Shteingradt
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Ballistic transport in integrable quantum lattice models with degenerate spectra
Physical Review B, 2021Peter Prelovsek +2 more
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Coexistence of diffusive and ballistic transport in integrable quantum lattice models
Physical Review B, 2021Peter Prelovsek +2 more
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Positive and Negative Hierarchies of Integrable Lattice Models Associated with a Hamiltonian Pair
International Journal of Theoretical Physics, 2004Wen-Xiu Ma, Xi-Xiang Xu
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Two integrable lattice hierarchies and their respective Darboux transformations
Applied Mathematics and Computation, 2013Xin-Yue Li, Qiu-Lan Zhao, Fa-Sheng Liu
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Classical integrable lattice models through quantum group related formalism
Theoretical and Mathematical Physics(Russian Federation), 1994A Kundu
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A new integrable symplectic map associated with lattice soliton equations
Journal of Mathematical Physics, 1996Xianguo Geng, Yongtang Wu
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