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

• URL: http://arxiv.org/abs/2602.23600v1
• Date: Fri, 27 Feb 2026 02:10:22 GMT
• Title: Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
• Authors: Li Chen, Zhiping Yao,
• Abstract summary: We give a recursion relation for the second-quantized fermionic (bosonic) Halperin state.<n>We prove that the second-quantized Halperin state is indeed a zero mode of the corresponding second-quantized parent Hamiltonian.
• Score: 7.644377459814062
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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