A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions

Details A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions

2008-11-24

arxiv.org/abs/0811.3688v1

J.Stat.Mech.0812:P12010,2008

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 5 figures; J. Stat. Mech.: Theory Exp. (2008), in print

Scientific paper

10.1088/1742-5468/2008/12/P12010

We show how the low-energy properties of the 2-leg XXZ spin-1/2 ladders with general anisotropy parameter $\Delta $ on closed geometries can be accounted for in the framework of the m-reduction procedure developed in [1]. In the limit of quasi-decoupled chains, a conformal field theory (CFT) with central charge c=2 is derived and its ability to describe the model with different boundary conditions is shown. Special emphasis is given to the Mobius boundary conditions which generate a topological defect corresponding to non trivial single-spinon excitations. Then, in the case of the 2-leg XXX ladders we discuss in detail the role of various perturbations in determining the renormalization group flow starting from the ultraviolet (UV) critical point with c=2.

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