Conserved Charges of Series of Solvable Lattice Models

Abstract

An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor x-x interactions, or with next-nearest-neighbor z-z interactions, and other solvable models that can be mapped to the free fermion system are considered. All the conserved charges of these models written by the string-type products of the interactions are obtained. In the case of the transverse Ising chain, all the known charges are rederived, and in the case of the other models, new conserved charges are obtained.

18 pages, 2 tables

References in corpus (4)

• Sound velocity peak and conformality in isospin QCD
• Proof of absence of local conserved quantities in the mixed-field Ising chain
• Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
• Symmetry-protected topological phases, conformal criticalities, and duality in exactly solvable SO($n$) spin chains

Cited by in corpus (1)

• The Yang-Baxter integrability of the critical Ising chain