Comment on 'Series expansions from the corner transfer matrix renormalization group method: The hard-squares model'

Iwan Jensen

doi:10.1088/1751-8113/45/50/508001

Comment on 'Series expansions from the corner transfer matrix renormalization group method: The hard-squares model'

Iwan Jensen

Research output: Contribution to journal › Review article › peer-review

6 Citations (Scopus)

Abstract

Earlier this year Chan extended the low-density series for the hard-squares partition function κ(z) to 92 terms. Here we analyse this extended series focusing on the behaviour at the dominant singularity zd which lies on the negative fugacity axis. We find that the series has a confluent singularity of order at least 2 at zd with exponents θ = 0.833 33(2) and θ′ = 1.6676(3). We thus confirm that the exponent θ has the exact value as observed by Dhar.

Original language	English
Article number	508001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	50
DOIs	https://doi.org/10.1088/1751-8113/45/50/508001
Publication status	Published - 21 Dec 2012
Externally published	Yes

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title = "Comment on 'Series expansions from the corner transfer matrix renormalization group method: The hard-squares model'",

abstract = "Earlier this year Chan extended the low-density series for the hard-squares partition function κ(z) to 92 terms. Here we analyse this extended series focusing on the behaviour at the dominant singularity zd which lies on the negative fugacity axis. We find that the series has a confluent singularity of order at least 2 at zd with exponents θ = 0.833 33(2) and θ′ = 1.6676(3). We thus confirm that the exponent θ has the exact value as observed by Dhar.",

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AU - Jensen, Iwan

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N2 - Earlier this year Chan extended the low-density series for the hard-squares partition function κ(z) to 92 terms. Here we analyse this extended series focusing on the behaviour at the dominant singularity zd which lies on the negative fugacity axis. We find that the series has a confluent singularity of order at least 2 at zd with exponents θ = 0.833 33(2) and θ′ = 1.6676(3). We thus confirm that the exponent θ has the exact value as observed by Dhar.

AB - Earlier this year Chan extended the low-density series for the hard-squares partition function κ(z) to 92 terms. Here we analyse this extended series focusing on the behaviour at the dominant singularity zd which lies on the negative fugacity axis. We find that the series has a confluent singularity of order at least 2 at zd with exponents θ = 0.833 33(2) and θ′ = 1.6676(3). We thus confirm that the exponent θ has the exact value as observed by Dhar.

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DO - 10.1088/1751-8113/45/50/508001

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