Transverse Field $\gamma$-Matrix Spin Chains
Strongly Correlated Electrons
2025-12-18 v2
Abstract
We introduce a simple lattice spin model that is written in terms of the well-known four-dimensional -matrix representation of the Clifford algebra. The local spins with a four-dimensional Hilbert space transform in a spinorial representation of , a symmetry of our model. When studied on a chain, and as a function of a transverse field tuning parameter, our model undergoes a quantum phase transition from a valence bond solid phase to a critical phase that is described by an WZW field theory.
Cite
@article{arxiv.2406.04120,
title = {Transverse Field $\gamma$-Matrix Spin Chains},
author = {Rui Xian Siew and Shailesh Chandrasekharan and Ribhu K. Kaul},
journal= {arXiv preprint arXiv:2406.04120},
year = {2025}
}
Comments
12 pages, 9 figures; added references for section 2, corrected a typo in appendix D