Exactly conserved quasilocal operators for the XXZ spin chain
Statistical Mechanics
2014-10-01 v3 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We extend T. Prosen's construction of quasilocal conserved quantities for the XXZ model [Phys. Rev. Lett. 106, 217206 (2011)] to the case of periodic boundary conditions. These quasilocal operators stem from a two-parameter transfer matrix which employs a highest-weight representation of the quantum group algebra inherent in the Yang-Baxter algebra. In contrast with the open chain, where the conservation law is weakly violated by boundary terms, the quasilocal operators in the periodic chain exactly commute with the Hamiltonian and other local conserved quantities.
Keywords
Cite
@article{arxiv.1406.2306,
title = {Exactly conserved quasilocal operators for the XXZ spin chain},
author = {R. G. Pereira and V. Pasquier and J. Sirker and I. Affleck},
journal= {arXiv preprint arXiv:1406.2306},
year = {2014}
}
Comments
25 pages, 3 figures