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Second-quantized approach to the study of Halperin state in fractional quantum Hall effect
Li Chen, Zhiping Yao
Hubei Normal University
来源Physical review. B./Physical review. B
年份2026
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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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参考文献 40
Construction of a paired wave function for spinless electrons at filling fraction<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>∕</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:math>
被引 119Steven H. Simon, E. H. Rezayi, Nigel R. Cooper · Physical Review B · 2007
Clustering Properties and Model Wave Functions for Non-Abelian Fractional Quantum Hall Quasielectrons
被引 86B. Andrei Bernevig, F. D. M. Haldane · Physical Review Letters · 2009
Generalized clustering conditions of Jack polynomials at negative Jack parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>
被引 109B. Andrei Bernevig, F. D. M. Haldane · Physical Review B · 2008
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