Density of Zeros on the Lee-Yang Circle Obtained from Magnetization Data of a Two-Dimensional Ising Ferromagnet
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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...
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The densities of Yang-Lee zeros for the Ising ferromagnet on the L x L square lattice are evaluated from the exact grand partition functions (L=3 approximately 16). The properties of the density of Yang-Lee zeros are discussed as a function of temperature T and system size L. The three different classes of phase transitions for the Ising ferromagnet--first-order phase transition, second-order p...
متن کاملYang-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...
متن کاملYang-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...
متن کاملThe Yang-Lee zeros of the 1D Blume-Capel model on connected and non-connected rings
We carry out a numerical and analytic analysis of the Yang-Lee zeros of the 1D Blume-Capel model with periodic boundary conditions and its generalization on Feynman diagrams for which we include sums over all connected and non-connected rings for a given number of spins. In both cases, for a specific range of the parameters, the zeros originally on the unit circle are shown to departure from it...
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تاریخ انتشار 2017