Numerical evidence for non-Abelian quantum liquids in the lowest Landau level

被引：4

作者：

Wojs, Arkadiusz ^{[1
,2
]}

机构：

[1] Wroclaw Univ Technol, Inst Phys, PL-50370 Wroclaw, Poland

[2] Univ Cambridge, Cavendish Lab, TCM Grp, Cambridge CB3 0HE, England

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 04期

关键词：

composite fermions; Landau levels; quantum Hall effect; COMPOSITE-FERMION; HALL STATES; COMPUTATION; HIERARCHY; STATISTICS; PARTICLE; ANYONS; FLUID; ORDER;

D O I：

10.1103/PhysRevB.79.041304

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Signatures of non-Abelian statistics are sought in correlated liquids of composite fermions (CFs) responsible for a "second generation" of fractional quantum Hall effect. The hierarchy stems from the zero-energy state of a model CF interaction by means of a flux attachment procedure converting this uniquely correlated state of "first-generation" CFs to a filled shell of second-generation CF(*)'s. Quasiholes of this state do not obey Abelian statistics. The hierarchy is confirmed numerically, including known states at filling factors nu(e)=4/11 and 3/8 and a hypothetical state at nu(e)=9/25.

引用

页数：4

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