1 / 4

(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.

aradia
Télécharger la présentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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)

More Related