Scaling of critical wave functions at topological Anderson transitions in one dimension

被引：2

作者：

Quinn, Eoin ^{[1
]}

Cope, Thomas ^{[2
]}

Bardarson, Jens H. ^{[1
]}

Ossipov, Alexander ^{[2
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

PHYSICAL REVIEW B | 2015年 / 92卷 / 10期

关键词：

DELOCALIZATION; LOCALIZATION; SOLITONS; PHASE; WIRES;

D O I：

10.1103/PhysRevB.92.104204

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localized phases, allow for criticality in one-dimensional disordered systems. We analyze the statistical properties of an ensemble of critical wave functions 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 one dimension, as we verify by direct comparison with numerical simulations of various lattice models.

引用

页数：8