TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.3.070
TI  - Generalised Onsager Algebra in Quantum Lattice Models
PY  - 2022/09/28
UR  - https://www.scipost.org/SciPostPhys.13.3.070
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 3
SP  - 070
A1  - Miao, Yuan
AB  - The Onsager algebra is one of the cornerstones of exactly solvable models in
statistical mechanics. Starting from the generalised Clifford algebra, we
demonstrate its relations to the graph Temperley-Lieb algebra, and a
generalisation of the Onsager algebra. We present a series of quantum lattice
models as representations of the generalised Clifford algebra, possessing the
structure of a special type of the generalised Onsager algebra. The
integrability of those models is presented, analogous to the free fermionic
eight-vertex model. We also mention further extensions of the models and
physical properties related to the generalised Onsager algebras, hinting at a
general framework that includes families of quantum lattice models possessing
the structure of the generalised Onsager algebras.
ER  -

@Article{10.21468/SciPostPhys.13.3.070,
	title={{Generalised Onsager Algebra in Quantum Lattice Models}},
	author={Yuan Miao},
	journal={SciPost Phys.},
	volume={13},
	pages={070},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.3.070},
	url={https://scipost.org/10.21468/SciPostPhys.13.3.070},
}