Supersymmetric Hamiltonian approach to edge excitations in ;d;=5/2 fractional quantum Hall effect
- 作者：Ming Yu ; Xin Zhang
- 关键词：Supersymmetric Calogero– ; Sutherland model ; Conformal field theory ; Fractional quantum Hall effects ; Bogoliubov transformation
- 刊名：Nuclear Physics B
- 出版年：2008
- 期刊代码：45_05503213
- 类别：ph
- 出版时间：1 August 2008
- 卷：798
- 期：3
- 页码：323-339
- 文件大小：190 K
摘要
A supersymmetric Hamiltonian is constructed for the edge excitations of the Moore–Read (Pfaffian) like state, which is a realization of the decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4R7J83W-1&_mathId=mml2&_user=1067359&_cdi=5531&_rdoc=2&_acct=C000050221&_version=1&_userid=10&md5=cfd7e51ce3629d56ddf461a658bbb2c9" title="Click to view the MathML source" alt="Click to view the MathML source">N=2 supersymmetric CS model. Fermionic generators and their conjugates are introduced to deal with the fermion pairing, whose condensation form a BCS like state. After Bogoliubov transformation, an decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TVC-4R7J83W-1&_mathId=mml3&_user=1067359&_cdi=5531&_rdoc=2&_acct=C000050221&_version=1&_userid=10&md5=4d5fad21df99939046b2ecb6f118d2e2" title="Click to view the MathML source" alt="Click to view the MathML source">N=2 supersymmetric and nonrelativistic Hamiltonian is found to take a known form, which is integrable. The main difference between the Moore–Read state and our BCS like state is that the number of fermion pairs in our formalism is not fixed. However, we have also found that the excited states in our model looks similar but not exactly the same as Moore and Read's.