Second-quantized approach to the study of Halperin state in fractional quantum Hall effect

Li Chen; Zhiping Yao

doi:10.1103/mbbh-9ftj

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arXiv · 2602.23600

Second-quantized approach to the study of Halperin state in fractional quantum Hall effect

Li Chen·Zhiping Yao

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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.

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Li Chen, Zhiping Yao. 2026-02-27. Second-quantized approach to the study of Halperin state in fractional quantum Hall effect. https://doi.org/10.1103/mbbh-9ftj

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