Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models

F. C. Alcaraz; M. N. Barber; M. T. Batchelor; R. J. Baxter; G. R.W. Quispel

doi:10.1088/0305-4470/20/18/038

Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models

F. C. Alcaraz^*, M. N. Barber, M. T. Batchelor, R. J. Baxter, G. R.W. Quispel

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

434 Citations (Scopus)

Abstract

Eigenspectra of the critical quantum Ashkin-Teller and Potts chains with free boundaries can be obtained from that of the XXZ chain with free boundaries and a complex surface field. By deriving and solving numerically the Bethe ansatz equations for such boundaries the authors obtain eigenenergies of XXZ chains of up to 512 sites. The conformal anomaly and surface exponents of the quantum XXZ, Ashkin-Teller, and Potts chains are calculated by exploiting their relations with the mass gap amplitudes as predicted by conformal invariance.

Original language	English
Article number	038
Pages (from-to)	6397-6409
Number of pages	13
Journal	Journal of Physics A: Mathematical and General
Volume	20
Issue number	18
DOIs	https://doi.org/10.1088/0305-4470/20/18/038
Publication status	Published - 1987

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AU - Batchelor, M. T.

AU - Baxter, R. J.

AU - Quispel, G. R.W.

PY - 1987

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AB - Eigenspectra of the critical quantum Ashkin-Teller and Potts chains with free boundaries can be obtained from that of the XXZ chain with free boundaries and a complex surface field. By deriving and solving numerically the Bethe ansatz equations for such boundaries the authors obtain eigenenergies of XXZ chains of up to 512 sites. The conformal anomaly and surface exponents of the quantum XXZ, Ashkin-Teller, and Potts chains are calculated by exploiting their relations with the mass gap amplitudes as predicted by conformal invariance.

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Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models

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