Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
Strongly Correlated Electrons
2026-03-02 v1 Mesoscale and Nanoscale Physics
Quantum Physics
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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Cite
@article{arxiv.2602.23600,
title = {Second-quantized approach to the study of Halperin state in fractional quantum Hall effect},
author = {Li Chen and Zhiping Yao},
journal= {arXiv preprint arXiv:2602.23600},
year = {2026}
}
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9 pages