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(L.J. de Jongh, A.R. Miedema Adv. Phys. 23 (1974))

Experimental access to the density of Lee-Yang zeros from magnetization data of a 2d Ising-ferromagnet. 1,7536 nm. (L.J. de Jongh, A.R. Miedema Adv. Phys. 23 (1974)). 0,3579 nm. Lee - Yang theorem.  circle- theorem.

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(L.J. de Jongh, A.R. Miedema Adv. Phys. 23 (1974))

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  1. Experimental access to the density of Lee-Yang zeros from magnetization data of a 2d Ising-ferromagnet 1,7536 nm (L.J. de Jongh, A.R. Miedema Adv. Phys. 23 (1974)) 0,3579 nm

  2. Lee - Yang theorem circle- theorem The zeros of the partition function of an Ising-ferromagnet are distributed on the unit circle in the complex z-plane. T.D. Lee und C.N. Yang 1952 • Ising – hamiltonian si =  1: h:= g B0 H magn. field := 1/kBT g: Landé factor B: Bohr´s magneton  partition function Z is a polynomial in thermodynamics Z determined by its zeros

  3. Partition function: complex zeros:  Example: 2 interacting Ising-spins ! J < 0 AF

  4. isothermal magnetization Padé-type ansatz function: T=4.5K T=34K T=49,...,53K T=99K zeros of Z determine free energy according to experimental access to zero distribution with X 1/4 T=49K x 1/2 T=50K T=51K T=52K T=53K T=99K Ch. Binek, PRL 81 5644 (1998)

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