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Volumn 77, Issue 16, 2008, Pages

Quantum Hall hierarchy wave functions: From conformal correlators to Tao-Thouless states

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EID: 42449163054     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.165325     Document Type: Article
Times cited : (28)

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    • For example, the TT state at 12/29 is (02 101) 3 01 (02 101) 2 01. As discussed in the text, two-filled effective Landau levels, ν =1+1, corresponds to 02 101 a; letting b=01, we have (02 101) 3 01 (02 101) 2 01= a3 b a2 b. Thus, b has been inserted in two out of five equivalent positions, and hence, one may interpret the 12/29 state as a ν =1+1+2/5 CF state. To minimize the energy, the b are as far separated as possible in the a state.
    • For example, the TT state at 12/29 is (02 101) 3 01 (02 101) 2 01. As discussed in the text, two-filled effective Landau levels, ν =1+1, corresponds to 02 101 a; letting b=01, we have (02 101) 3 01 (02 101) 2 01= a3 b a2 b. Thus, b has been inserted in two out of five equivalent positions, and hence, one may interpret the 12/29 state as a ν =1+1+2/5 CF state. To minimize the energy, the b are as far separated as possible in the a state.


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