Scaling of critical wavefunctions at topological Anderson transitions in 1D
Mesoscale and Nanoscale Physics
2015-10-09 v1 Disordered Systems and Neural Networks
Abstract
Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localised phases, allow for criticality in 1D disordered systems. We analyse the statistical properties of an emsemble of critical wavefunctions at such transitions. We find that the local moments are strongly inhomogeneous, with significant amplification towards the edges of the system. In particular, we obtain an analytic expression for the spatial profile of the local moments which is valid at all topological Anderson transitions in 1D, as we verify by direct comparison with numerical simulations of various lattice models.
Keywords
Cite
@article{arxiv.1505.05374,
title = {Scaling of critical wavefunctions at topological Anderson transitions in 1D},
author = {Eoin Quinn and Thomas Cope and Jens H. Bardarson and Alexander Ossipov},
journal= {arXiv preprint arXiv:1505.05374},
year = {2015}
}
Comments
5+5 pages, 4 figures