Spiral orientational order in quantum Hall skyrmion lattices
| dc.creator | Sankararaman, Sumithra | |
| dc.creator | Shankar, R. | |
| dc.date | 2001-01-30 | |
| dc.date | 2002-01-30 | |
| dc.date.accessioned | 2026-07-07T02:40:13Z | |
| dc.date.available | 2026-07-07T02:40:13Z | |
| dc.description | 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 $ν=1$ quantum Hall ground state. Our variational ansatz contains an angle $θ$, characterising the FCRL and an angle $q$, characterising the orientational order. As $ν$ is increased towards one, there is a smooth transition from the triangular lattice (TL) characterised by $(θ,q) = (120^o,120^o)$ to FCRLs with spiral orientational order. The novel feature we find is that these phases are characterised by $θ, q)$ values such that $θ+q = 240^o$ (same as the TL phase). As $ν$ incresaes further towards one, there is a sharp transition from the FCRLs to the square lattice (SL), characterised by $(θ,q)=(90^o,180^o)$. Consequently, the parameter $θ+q$ jumps sharply at the FCRL-SL transition and can serve as an order parameter to characterise it. | |
| dc.description | 4 pages, REVTeX, 4 eps figures,paper withdrawn | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0101451 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0101451 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17305 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Spiral orientational order in quantum Hall skyrmion lattices | |
| dc.type | text |