The Yang-Lee edge singularity in spherical models
Abstract
The density of Yang-Lee zeros in the thermodynamic limit is discussed for ferromagnetic spherical models of general dimensionalities and arbitrary range of interaction. In all cases the zeros lie on the imaginary axis in the complex magnetic field planeH=H'+iH″ with a densityℊ (H″) that exhibits a square root singularityℊ(H″)∼(H″-H0)σ, withσ=1/2, as the edge of the gap atH″=H0(T) is approached forT>Tc. WhenT→Tc one hasH0(T)∼(T∼Tc)Δ with critical exponentΔ=β+γ.
- Publication:
-
Journal of Statistical Physics
- Pub Date:
- September 1978
- DOI:
- 10.1007/BF01011723
- Bibcode:
- 1978JSP....19..205K
- Keywords:
-
- Yang-Lee zeros;
- spherical models;
- complex magnetic field;
- ferromagnets;
- critical point singularities;
- critical exponents