Numerical studies of the Pfaffian model of the fractional quantum Hall effect
- 作者：Csaba Tő ; ke ; Nicolas Regnault ; Jainendra K. Jain
- 关键词：A. Composite fermions ; D. Fractional quantum Hall effect ; D. Pairing
- 刊名：Solid State Communications
- 出版年：2007
- 期刊代码：101_00381098
- 类别：ms
- 出版时间：December 2007
- 卷：144
- 期：12
- 页码：504-511
- 文件大小：1203 K
摘要
The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at d=retrieve&_udi=B6TVW-4P8B0WJ-1&_mathId=mml61&_user=10&_cdi=5545&_rdoc=4&_acct=C000050221&_version=1&_userid=10&md5=c4947b6d23bdfe9648fa5a35ac1485c0">
www.sciencedirect.com/cache/MiamiImageURL/B6TVW-4P8B0WJ-1-1H/0?wchp=dGLzVzz-zSkzS" alt="Click to view the MathML source" align="absbottom" border="0" height=18 width=36>. We examine it for the quasihole excitations by comparison with exact diagonalization results. Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle–hole symmetry, splitting of the degeneracies and off-diagonal long-range order. We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model. Implications for nonabelian braiding statistics will be mentioned.