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Zoekopdracht: journal id: "physicalxreviewxb"

AuteursR. Thomale, B. Estienne, N. Regnault, B.A. Bernevig
TitelDecomposition of fractional quantum Hall model states: product rule symmetries and approximations
TijdschriftPhysical Review B
FaculteitFaculteit der Natuurwetenschappen, Wiskunde en Informatica
Instituut/afd.FNWI: Institute for Theoretical Physics (ITF)
SamenvattingWe provide a detailed description of a product rule structure of the monomial (Slater) expansion coefficients of bosonic (fermionic) fractional quantum Hall (FQH) states derived recently, which we now extend to spin-singlet states. We show that the Haldane-Rezayi spin-singlet state can be obtained without exact diagonalization through a differential equation method that we conjecture to be generic to other FQH model states. The product rule symmetries allow us to build approximations of FQH states that exhibit increasing overlap with the exact state (as a function of system size) even though our approximation omits more than half of the Hilbert space. We show that the product rule is valid for any FQH state that can be written as an expectation value of parafermionic operators.
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