Symmetry, topology, duality, chirality, and criticality in a spin- XXZ ladder with a four-spin interaction

M Fontaine, K Sugimoto, S Furukawa - Physical Review B, 2024 - APS
We study the ground-state phase diagram of a spin-1 2 XXZ model with a chirality-chirality
interaction (CCI) on a two-leg ladder. This model offers a minimal setup to study an interplay …

Transverse field -matrix spin chains

RX Siew, S Chandrasekharan, RK Kaul - Physical Review D, 2024 - APS
We introduce a simple lattice spin model that is written in terms of the well-known four-
dimensional γ-matrix representation of the Clifford algebra. The local spins with a four …

Kramers-Wannier self-duality and non-invertible translation symmetry in quantum chains: a wave-function perspective

HC Zhang, G Sierra - arXiv preprint arXiv:2410.06727, 2024 - arxiv.org
The Kramers-Wannier self-duality of critical quantum chains is examined from the
perspective of model wave functions. We demonstrate, using the transverse-field Ising chain …