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Phase transitions of antiferromagnetic Ising models

Published on:

25 September 2023

Primary Category:

Statistical Mechanics

Paper Authors:

Muhammad Sedik,

Junaid Majeed Bhat,

Abhishek Dhar,

B Sriram Shastry

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Key Details

Logarithm of Yang-Lee zeros scales as square root of inverse temperature at high temperatures

New sum rules derived for coefficients of power series expansion

Mean field polynomials constructed with similar zeros as Ising models

New root curves found depicting complex phase boundary

Zeros separate regions of zero and nonzero staggered magnetization

AI generated summary

Phase transitions of antiferromagnetic Ising models

This paper studies the phase transitions and distribution of Yang-Lee zeros for antiferromagnetic Ising models. It shows the logarithm of Yang-Lee zeros scales as the square root of inverse temperature at high temperatures, for both nearest neighbor and mean field models. For the mean field case, new root curves depicting a complex phase boundary are found numerically. The paper provides useful insights into the complex thermodynamics of antiferromagnetic systems.

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