Communications in Theoretical Physics

A New Critical Region of Quantum Ashkin–Teller Chain

Wang ZhiGuo, Haiyan Zhang, Xu Bo-wei

Published Sep 15, 1999• 1 citation

Abstract

The critical phenomena of the one-dimensional quantum Ashkin–Teller chain are discussed by using the numerical calculation in the quantum conformal field theory. The result shows that there exists a new critical region of the model.

DOI: 10.1088/0253-6102/32/2/313

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Communications in Theoretical Physics

A New Critical Region of Quantum Ashkin–Teller Chain

Wang ZhiGuo, Haiyan Zhang, Xu Bo-wei

Published Sep 15, 1999• 1 citation

Publisher

Abstract

DOI: 10.1088/0253-6102/32/2/313

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Acta Physica SinicaJan 1, 19970 citations

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\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.

\mathrm{XXZ}

linear chain which is equivalent to a highly anisotropic six-vertex model. In addition eleventh-order strong-coupling series are used to derive numerical data about the Hamiltonian problem. By these means a phase diagram is obtained. The essentially new feature of this diagram is a "critical fan," i.e., a region where a line of continuously varying criticality "fans out" and becomes an area of critical behavior.