Density of Yang-Lee zeros for the Ising ferromagnet.

Density of Zeros on the Lee-Yang Circle Obtained from Magnetization Data of a Two-Dimensional Ising Ferromagnet

Yang-Lee Edge Singularity of the Infinite-Range Ising Model

The Ising ferromagnet, consisting of magnetic spins, is the simplest system showing phase transitions and critical phenomena at finite temperatures. The Ising ferromagnet has played a central role in our understanding of phase transitions and critical phenomena. Also, the Ising ferromagnet explains the gas-liquid phase transitions accurately. In particular, the Ising ferromagnet in a nonzero ma...

Yang-Lee edge singularities from experimental high field magnetization data

The isothermal magnetization m(H) of the metamagnet FeCl2 is measured in axial magnetic fields 0 μ0Ha 12 T at temperatures 34 T 53 K above the Néel temperature, where the system is essentially a two-dimensional Ising ferromagnet. The analysis of the data indicates experimental accessibility of the critical exponent μ of the Yang–Lee edge singularities. They manifest themselves in divergences of...

Yang-Lee edge singularities determined from experimental high-field magnetization data

The isothermal magnetization m(H) of the metamagnet FeCl2 is measured in axial magnetic fi elds 0 ≤ μ0Ha ≤ 12 T at temperatures 34 ≤ T ≤ 53 K above the Néel temperature, where the system is essentially a two-dimensional Ising ferromagnet. The analysis of the data indicates experimental accessibility of the critical exponent μ of the Yang-Lee edge singularities. They manifest themselves in diver...

Lee-Yang zeros and the Ising model on the Sierpinski Gasket

We study the distribution of the complex temperature zeros for the partition function of the Ising model on a Sierpinski gasket using an exact recursive relation. Although the zeros arrange on a curve pinching the real axis at T = 0 in the thermodynamic limit, their density vanishes asymptotically along the curve approaching the origin. This phenomenon explains the coincidence of the low temper...