Boundary critical phenomena in the quantum Ashkin-Teller model

• URL: http://arxiv.org/abs/2601.16951v1
• Date: Fri, 23 Jan 2026 18:16:16 GMT
• Title: Boundary critical phenomena in the quantum Ashkin-Teller model
• Authors: Yifan Liu, Natalia Chepiga, Yoshiki Fukusumi, Masaki Oshikawa,
• Abstract summary: We investigate the boundary critical phenomena of the one-dimensional quantum Ashkin-Teller model.<n>Based on the $mathbbZ$-orbifold of the $c=1$ compactified boundary conformal field theory, we construct microscopic lattice boundary terms that renormalize to the stable conformal boundary conditions.
• Score: 3.4394915539131934
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the boundary critical phenomena of the one-dimensional quantum Ashkin-Teller model using boundary conformal field theory and density matrix renormalization group (DMRG) simulations. Based on the $\mathbb{Z}_2$-orbifold of the $c=1$ compactified boson boundary conformal field theory, we construct microscopic lattice boundary terms that renormalize to the stable conformal boundary conditions,, utilizing simple current extensions and the underlying $\mathrm{SU}(2)$ symmetry to explicitly characterize the four-state Potts point. We validate these theoretical identifications via finite-size spectroscopy of the lattice energy spectra, confirming their consistency with $D_4$ symmetry and Kramers-Wannier duality. Finally, we discuss the boundary renormalization group flows among these identified fixed points to propose a global phase diagram for the boundary criticality.

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