Abstract

For the two-dimensional ferromagnetic Ising critical point, I show that the known values of the critical exponents imply the absence of logarithms of the reduced temperature in the leading contributions to any field derivative of the free energy at zero magnetic field. For the square-lattice Ising antiferromagnet in a weak magnetic field, I compute the critical line ${T}_{c}$(H)=${T}_{c}^{0}$(1-0.038 023 259${H}^{2}$) and the leading contribution to the susceptibility \ensuremath{\chi}=0.014 718 006 6${H}^{2}$ln(1/\ensuremath{\Vert}t\ensuremath{\Vert}), where t is the reduced temperature.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.