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Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
Li Chen, Zhiping Yao·February 27, 2026
cond-mat.str-elMesoscale PhysicsQuantum Physics
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Abstract
We give a recursion relation for the second-quantized fermionic (bosonic) Halperin state, which avoids exact diagonalization of its two-component first-quantized parent Hamiltonian. We validate this formula by proving that the second-quantized Halperin state, as recursively defined in this formula, is indeed a zero mode of the corresponding second-quantized parent Hamiltonian and that it has the correct filling factor.