Boundary critical phenomena in the quantum Ashkin-Teller model
Yifan Liu (University of Tokyo)
Natalia Chepiga (TU Delft - Applied Sciences, Kavli institute of nanoscience Delft, University of Oxford)
Yoshiki Fukusumi (National Tsing Hua University, National Taiwan University)
Masaki Oshikawa (University of Tokyo)
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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 ℤ2-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 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 D4 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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