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Volumn 75, Issue 7, 2007, Pages

Construction of a paired wave function for spinless electrons at filling fraction ν=2/5

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EID: 33846954341     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.075317     Document Type: Article
Times cited : (138)

References (32)
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    • Another way to write Ψ would be to use the form of Eq. (2.16) of Ref. with k=2 modifying the function χ to have the form χ (z1, z2; z3, z4) = (z1 - z3) 2 (z2 - z4) 2 (z1 - z4) (z2 - z3). Many generalizations of this form to clusters rather than pairs are possible (analogous to Appendix).
    • Another way to write Ψ would be to use the form of Eq. (2.16) of Ref. with k=2 modifying the function χ to have the form χ (z1, z2; z3, z4) = (z1 - z3) 2 (z2 - z4) 2 (z1 - z4) (z2 - z3). Many generalizations of this form to clusters rather than pairs are possible (analogous to Appendix).
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    • Numerically we define the hierarchy 2/5 state as the ground state of a V1 only Hamiltonian. For system sizes for which composite fermion trial wave functions can be generated, the hierarchy and composite fermion wave function have near perfect overlap.
    • Numerically we define the hierarchy 2/5 state as the ground state of a V1 only Hamiltonian. For system sizes for which composite fermion trial wave functions can be generated, the hierarchy and composite fermion wave function have near perfect overlap..
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