The One-Dimensional ANNNI model in a Transverse Field: Analytic and numerical study of Effective Hamiltonians

Details The One-Dimensional ANNNI model in a Transverse Field: Analytic and numerical study of Effective Hamiltonians The One-Dimensional ANNNI model in a Transverse Field: Analytic and numerical study of Effective Hamiltonians

1996-04-09

arxiv.org/abs/cond-mat/9604051v1

Z. Phys. B 101 (1996) 597

Physics

Condensed Matter

30 RevTeX pages, 10 postscript figures

Scientific paper

10.1007/s002570050252

We consider a spin-$\frac{1}{2}$ chain with competing nearest and next-nearest neighbor interactions within a transverse magnetic field, which is known to be an equiavelent to the ANNNI model. When studing thermodynamics of the 2D ANNNI model Villain and Bak arrived to a free fermion approximation that neglects heavy excitations from the ferromagnetic ground state, which is an appropriate description close to the paramagnetic-ferromagnetic transition. In the vicinity of the floating-phase/anti-phase transition another sort of quasiparticles, but free fermions too, appears to be convenient. Although free fermions are a suitable tool for investigation of the phase diagram and the critical properties, they are defined on the fictitious lattice which makes the analysis non-rigorous. Here we deal with a proper fermion scheme which is especially effective %devised to describe the floating-phase/anti-phase transition. for performing exact diagonalization calculations for cyclic chains. Systems up to size $L=32$ has been analysed and the predictions of the effective fermion Hamiltonian has been confirmed. Various predictions for the infinite system and the critical properties are derived.

Affiliated with

Also associated with

No associations

Rating

The One-Dimensional ANNNI model in a Transverse Field: Analytic and numerical study of Effective Hamiltonians 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 The One-Dimensional ANNNI model in a Transverse Field: Analytic and numerical study of Effective Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The One-Dimensional ANNNI model in a Transverse Field: Analytic and numerical study of Effective Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-129532