Coupled critical quantum Ising layers map to the quantum Ashkin-Teller model, yielding a 1D critical line with continuously varying exponent nu and 2D multicritical points with effective O(2) symmetry.
Boundary critical phenomena in the quantum Ashkin-Teller model
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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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cond-mat.stat-mech 1years
2026 1verdicts
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Stacked quantum Ising systems and quantum Ashkin-Teller model
Coupled critical quantum Ising layers map to the quantum Ashkin-Teller model, yielding a 1D critical line with continuously varying exponent nu and 2D multicritical points with effective O(2) symmetry.