Monte Carlo Study of the Yukawa Coupled Two Spin Ising Model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

11 pages, 8 figures

Scientific paper

We consider a particular 4 state spin system composed of two Ising spins (~$s_x, \; \sigma_x$~) with independent hopping parameters $\kappa_1, \kappa_2$, coupled by a bilinear Yukawa term, $y s_x \sigma_x$. The Yukawa term is solely responsible for breaking the global $ Z_2 \times Z_2$ symmetry down to $Z_2$. This model is intended as an illustration of general coupled Higgs system where scalars can arise both as composite and elementary excitations. For the Ising example in 2d, we give convincing numerical evidence of the universality of the two spin system with the one spin Ising model, by Monte Carlo simulations and finite scaling analysis . We also show that as we approach the phase transition, universality arises by a separation of low mass spin waves from an extra set of spin waves with an energy gap that diverges as the correlations length diverges

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Monte Carlo Study of the Yukawa Coupled Two Spin Ising Model 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 Monte Carlo Study of the Yukawa Coupled Two Spin Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte Carlo Study of the Yukawa Coupled Two Spin Ising Model will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-723598

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.