### Abstract

Padé approximants have been used to estimate both the critical temperature and the critical-point exponents of the Ising model. In the standard Padé analysis the approximants near the diagonal are given more credence. In the present study of two-dimensional models more credence is given to those entries for which the estimated critical temperature is close to the exact value. For three-dimensional models an analogous method is employed using the "exact" critical temperature estimated from the high-temperature compressibility series. The rationale for selecting these particular approximants is based on the fact that one is estimating critical-point behavior by extrapolating from a series representation. Thus, if the estimated critical point is shifted from its true value, one should expect a corresponding shift in the estimated exponent. Indeed, this is what is found.

Original language | English (US) |
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Pages (from-to) | 243-252 |

Number of pages | 10 |

Journal | Physical Review B |

Volume | 12 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1975 |

### ASJC Scopus subject areas

- Condensed Matter Physics

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## Cite this

*Physical Review B*,

*12*(1), 243-252. https://doi.org/10.1103/PhysRevB.12.243