A perturbative approach to spectrum and correlation functions of the chiral Potts model

Honecker, A.

doi:10.1007/bf02179791

Cited by 8 publications

(13 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of N = 3 there have been previous perturbation studies both for small [13]- [14] and large [14]- [16] k and Table 1 agrees with the small k results of [14] which were obtained to order 7. Many of the details of the perturbation expansion are discussed in these papers.…”

Section: Perturbation Expansion Of the Ground State Energysupporting

confidence: 86%

Analyticity and integrability in the chiral Potts model

McCoy

Orrick

1996

J Stat Phys

View full text Add to dashboard Cite

We study the perturbation theory for the general non-integrable chiral Potts model depending on two chiral angles and a strength parameter and show how the analyticity of the ground state energy and correlation functions dramatically increases when the angles and the strength parameter satisfy the integrability condition. We further specialize to the superintegrable case and verify that a sum rule is obeyed.

show abstract

Section: Perturbation Expansion Of the Ground State Energysupporting

confidence: 86%

Analyticity and integrability in the chiral Potts model

McCoy

Orrick

1996

J Stat Phys

View full text Add to dashboard Cite

show abstract

“…In order to be able to cover a variety of cases, we used a quite general method to perform the series expansions which is summarized e.g. in section 3 of [55] (actually, the program used in the present paper is a modified version of the one used loc.cit. ).…”

Section: Strong Coupling Expansions For N -Leg Laddersmentioning

confidence: 99%

Magnetization plateaux inN-leg spin ladders

1998

Self Cite

View full text Add to dashboard Cite

In this paper we continue and extend a systematic study of plateaux in magnetization curves of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical formulation of a single XXZ-chain in the presence of a magnetic field, which is then used for an Abelian bosonization analysis of N weakly coupled chains. Predictions for the universality classes of the phase transitions at the plateaux boundaries are obtained in addition to a quantization condition for the value of the magnetization on a plateau. These results are complemented by and checked against strong-coupling expansions. Finally, we analyze the strongcoupling effective Hamiltonian for an odd number N of cylindrically coupled chains numerically. For N = 3 we explicitly observe a spin-gap with a massive spinon-type fundamental excitation and obtain indications that this gap probably survives the limit N → ∞.

show abstract

“…Since we wish to cover a variety of cases, it is convenient to use a simple but general method for higher order series expansions of a quantum mechanical system which is summarized e.g. in Section 3 of [31]. This should be sufficient to obtain an overview, but could certainly be extended to higher orders using more sophisticated cluster expansions if this should turn out to be desireable for concrete applications.…”

Section: Expansions Around the Ising Limitmentioning

confidence: 99%

A comparative study of the magnetization process of two-dimensional antiferromagnets

Honecker

1999

J. Phys.: Condens. Matter

119

View full text Add to dashboard Cite

Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice with Ising-like anisotropies, and a plateau with one third of the saturation magnetization on the triangular lattice which survives a small amount of easy-plane anisotropy. Here we start with transfer matrix computations for the Ising limit and continue with series in the XXZ-anisotropy for plateau-boundaries using the groundstates of the Ising limit. The main focus is then a numerical computation of the magnetization curves with anisotropies in the vicinity of the isotropic situation. Finally, we discuss the universality class associated to the asymptotic behaviour of the magnetization curve close to saturation, as observed numerically in two and higher dimensions. ⋆ A Feodor-Lynen fellow of the Alexander von Humboldt-foundation.

show abstract

A perturbative approach to spectrum and correlation functions of the chiral Potts model

Cited by 8 publications

References 48 publications

Analyticity and integrability in the chiral Potts model

Analyticity and integrability in the chiral Potts model

Magnetization plateaux inN-leg spin ladders

A comparative study of the magnetization process of two-dimensional antiferromagnets

Contact Info

Product

Resources

About