Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice

Details Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice

2007-06-12

arxiv.org/abs/0706.1697v1

Phys. Rev. E 74 (2006) 061108

Physics

Condensed Matter

Statistical Mechanics

RevTex, 29 pages, 13 figures

Scientific paper

10.1103/PhysRevE.74.061108

We exactly solve the ferromagnetic spin-1/2 Ising model on the Bethe lattice in the presence of an external magnetic field by means of the equations of motion method within the Green's function formalism. In particular, such an approach is applied to an isomorphic model of localized Fermi particles interacting via an intersite Coulomb interaction. A complete set of eigenoperators is found together with the corresponding eigenvalues. The Green's functions and the correlation functions are written in terms of a finite set of parameters to be self-consistently determined. A procedure is developed, that allows us to exactly fix the unknown parameters in the case of a Bethe lattice with any coordination number z. Non-local correlation functions up to four points are also provided together with a study of the relevant thermodynamic quantities.

Affiliated with

Also associated with

No associations

Rating

Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-359662