Abstract
We propose a mechanism of a vector chiral long-range order in two-leg spin- and spin-1 antiferromagnetic ladders with four-spin exchanges and a Zeeman term. It is known that for one-dimensional quantum systems, spontaneous breakdown of continuous symmetries is generally forbidden. Any vector chiral order hence does not appear in spin-rotationally [SU(2)]-symmetric spin ladders. However, if a magnetic field is added along the axis of ladders and the SU(2) symmetry is reduced to the U(1) one, the component of a vector chiral order can emerge with the remaining U(1) symmetry unbroken. Making use of Abelian bosonization techniques, we actually show that a certain type of four-spin exchange can yield a vector chiral long-range order in spin- and spin-1 ladders under a magnetic field. In the chiral-ordered phase, the interchain-parity (i.e., chain-exchange) symmetry is spontaneously broken. We also consider effects of perturbations breaking the parity symmetry.
- Received 24 January 2007
DOI:https://doi.org/10.1103/PhysRevB.76.054427
©2007 American Physical Society