Exactly conserved quasilocal operators for the XXZ spin chain
Abstract
We extend T Prosen's construction of quasilocal conserved quantities for the XXZ model (2011 Phys. Rev. Lett. 106 217206) to the case of periodic boundary conditions. These quasilocal operators stem from a twoparameter transfer matrix which employs a highestweight representation of the quantum group algebra inherent in the YangBaxter 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.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 September 2014
 DOI:
 10.1088/17425468/2014/09/P09037
 arXiv:
 arXiv:1406.2306
 Bibcode:
 2014JSMTE..09..037P
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Strongly Correlated Electrons;
 Mathematical Physics
 EPrint:
 25 pages, 3 figures