Eight-Vertex Model in Lattice Statistics

@article{Baxter1971EightVertexMI,
  title={Eight-Vertex Model in Lattice Statistics},
  author={Rodney J. Baxter},
  journal={Physical Review Letters},
  year={1971},
  volume={26},
  pages={832-833}
}
  • R. Baxter
  • Published 5 April 1971
  • Physics
  • Physical Review Letters
Twisted Heisenberg chain and the six-vertex model with DWBC
In this work we establish a relation between the six-vertex model with Domain Wall Boundary Conditions (DWBC) and the XXZ spin chain with anti-periodic twisted boundaries. More precisely, we
An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
We consider the problem of the exact computation of the correlation functions of the eight-vertex solid-on-solid model by means of the algebraic Bethe ansatz. We compute the scalar product between a
Ising Models with Four Spin Interaction at Criticality
We consider two bidimensional Ising models coupled by an interaction quartic in the spins, like in the spin representation of the Eight vertex or the Ashkin-Teller model. By Renormalization Group
Functional relations and the Yang-Baxter algebra
Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Statistical Mechanics and they are intimately connected with Baxter's concept of commuting transfer
Exercises with the universal R-matrix
Using the formula for the universal R-matrix proposed by Khoroshkin and Tolstoy, we give a detailed derivation of L-operators for the quantum groups associated with the generalized Cartan matrices
The Drinfel'd twisted XYZ model
We construct a factorizing Drinfel'd twist for a face type model equivalent to the XYZ model. Completely symmetric expressions for the operators of the monodromy matrix are obtained.
Algebra versus analysis in statistical mechanics and quantum field theory
I contrast the profound differences in the ways in which algebra and analysis are used in physics. In particular I discuss the fascinating phenomenon that theoretical physicists devote almost all
Q A ] 2 1 A pr 2 00 3 Free field constructions for the elliptic algebra A q , p ( ̂ sl 2 ) and Baxter ’ s eight-vertex model ∗
Free field constructions for the elliptic algebra A q,p (sl 2) and Baxter's eight-vertex model Abstract Three examples of free field constructions for the vertex operators of the elliptic quantum
Tensor Network Contractions
TLDR
This lecture notes focuses on the contraction algorithms of TN as well as some of the applications to the simulations of quantum many-body systems, and revisits the TN approaches from the perspective of multi-linear algebra and quantum simulation.
...
...