Spiral orientational order in quantum Hall skyrmion lattices

Details Spiral orientational order in quantum Hall skyrmion lattices Spiral orientational order in quantum Hall skyrmion lattices

2001-01-30

arxiv.org/abs/cond-mat/0101451v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, REVTeX, 4 eps figures,paper withdrawn

Scientific paper

We investigate the existence of spiral ordering in the planar spin orientation of skyrmions localised on a face centered rectangular lattice (FCRL). We use the non-linear sigma model (NLSM) to numerically calculate the minimum energy configurations of this lattice around the $\nu=1$ quantum Hall ground state. Our variational ansatz contains an angle $\theta$, characterising the FCRL and an angle $q$, characterising the orientational order. As $\nu$ is increased towards one, there is a smooth transition from the triangular lattice (TL) characterised by $(\theta,q) = (120^o,120^o)$ to FCRLs with spiral orientational order. The novel feature we find is that these phases are characterised by $\theta, q)$ values such that $\theta+q = 240^o$ (same as the TL phase). As $\nu$ incresaes further towards one, there is a sharp transition from the FCRLs to the square lattice (SL), characterised by $(\theta,q)=(90^o,180^o)$. Consequently, the parameter $\theta+q$ jumps sharply at the FCRL-SL transition and can serve as an order parameter to characterise it.

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