Some finite-size amplitudes and critical exponents for Potts and Ashkin-Teller quantum chains

C. J. Hamer; M. T. Batchelor

doi:10.1088/0305-4470/21/3/010

Some finite-size amplitudes and critical exponents for Potts and Ashkin-Teller quantum chains

C. J. Hamer^*, M. T. Batchelor

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

Analytic expressions are derived for the leading finite-size corrections to a class of energy eigenvalues of the Potts and Ashkin-Teller quantum chains, making use of their equivalences with a modified XXZ Heisenberg chain. Assuming conformal invariance, exact results are thence obtained for some bulk scaling dimensions and surface exponents in these models.

Original language	English
Article number	010
Pages (from-to)	L173-L178
Journal	Journal of Physics A: General Physics
Volume	21
Issue number	3
DOIs	https://doi.org/10.1088/0305-4470/21/3/010
Publication status	Published - 1988
Externally published	Yes

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title = "Some finite-size amplitudes and critical exponents for Potts and Ashkin-Teller quantum chains",

abstract = "Analytic expressions are derived for the leading finite-size corrections to a class of energy eigenvalues of the Potts and Ashkin-Teller quantum chains, making use of their equivalences with a modified XXZ Heisenberg chain. Assuming conformal invariance, exact results are thence obtained for some bulk scaling dimensions and surface exponents in these models.",

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year = "1988",

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AU - Hamer, C. J.

AU - Batchelor, M. T.

PY - 1988

Y1 - 1988

N2 - Analytic expressions are derived for the leading finite-size corrections to a class of energy eigenvalues of the Potts and Ashkin-Teller quantum chains, making use of their equivalences with a modified XXZ Heisenberg chain. Assuming conformal invariance, exact results are thence obtained for some bulk scaling dimensions and surface exponents in these models.

AB - Analytic expressions are derived for the leading finite-size corrections to a class of energy eigenvalues of the Potts and Ashkin-Teller quantum chains, making use of their equivalences with a modified XXZ Heisenberg chain. Assuming conformal invariance, exact results are thence obtained for some bulk scaling dimensions and surface exponents in these models.

UR - https://www.scopus.com/pages/publications/36149036023

U2 - 10.1088/0305-4470/21/3/010

DO - 10.1088/0305-4470/21/3/010

M3 - Article

AN - SCOPUS:36149036023

SN - 0305-4470

VL - 21

SP - L173-L178

JO - Journal of Physics A: General Physics

JF - Journal of Physics A: General Physics

IS - 3

M1 - 010

ER -

Some finite-size amplitudes and critical exponents for Potts and Ashkin-Teller quantum chains

Abstract

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