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Single-parameter variational wave functions for quantum Hall bilayers
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DOI：10.1103/PhysRevB.109.155138.png)
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Abstract
En 中文
Bilayer quantum Hall states have been shown to be described by a BCS-paired state of composite fermions. However, finding a qualitatively accurate model state valid across all values of the bilayer separation is challenging. Here, we introduce two variational wave functions, each with a single variational parameter, which can be thought of as a proxy for the BCS order parameter. Studying systems of up to 9 + 9 electrons in a spherical geometry using Monte Carlo methods, we show that the ground state can be accurately described by these single-parameter variational states. In addition, we provide a numerically exact wave function for the Halperin-111 state in terms of composite fermions.
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