Abstract
We report new results on complex-temperature singularities of the susceptibility {chi} of the 2D Ising model. We give a unified treatment of both the physical critical point and the singularity at u=u{sub s}=-1, which yields the relation {gamma}{sub s}`=2({gamma}`-1). Using exact results, we show that universality is violated at the singularity u=-1 and discuss the reasons. We also show that certain exponent relations are violated at this point. The behavior of {chi} is analyzed as u=-1 is approached from the symmetric PM phase and from the FM and AFM phases. ((orig.)).
Shrock, R
[1]
- State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics
Citation Formats
Shrock, R.
Complex-temperature singularities of the susceptibility in the d=2 Ising model.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00379-N.
Shrock, R.
Complex-temperature singularities of the susceptibility in the d=2 Ising model.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00379-N
Shrock, R.
1995.
"Complex-temperature singularities of the susceptibility in the d=2 Ising model."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00379-N.
@misc{etde_101052,
title = {Complex-temperature singularities of the susceptibility in the d=2 Ising model}
author = {Shrock, R}
abstractNote = {We report new results on complex-temperature singularities of the susceptibility {chi} of the 2D Ising model. We give a unified treatment of both the physical critical point and the singularity at u=u{sub s}=-1, which yields the relation {gamma}{sub s}`=2({gamma}`-1). Using exact results, we show that universality is violated at the singularity u=-1 and discuss the reasons. We also show that certain exponent relations are violated at this point. The behavior of {chi} is analyzed as u=-1 is approached from the symmetric PM phase and from the FM and AFM phases. ((orig.)).}
doi = {10.1016/0920-5632(95)00379-N}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {Complex-temperature singularities of the susceptibility in the d=2 Ising model}
author = {Shrock, R}
abstractNote = {We report new results on complex-temperature singularities of the susceptibility {chi} of the 2D Ising model. We give a unified treatment of both the physical critical point and the singularity at u=u{sub s}=-1, which yields the relation {gamma}{sub s}`=2({gamma}`-1). Using exact results, we show that universality is violated at the singularity u=-1 and discuss the reasons. We also show that certain exponent relations are violated at this point. The behavior of {chi} is analyzed as u=-1 is approached from the symmetric PM phase and from the FM and AFM phases. ((orig.)).}
doi = {10.1016/0920-5632(95)00379-N}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}