Halperin states can produce any filling fractions
En-Jui Kuo
TL;DR
This paper proves that Halperin states in bilayer Fractional Quantum Hall systems can realize any rational filling fraction through infinitely many topological states, regardless of charge vectors.
Contribution
It demonstrates that for any positive rational filling fraction, infinitely many topological states exist within the Halperin state framework.
Findings
Infinite solutions for any rational filling fraction.
Applicability to any charge vectors.
Universal topological state realization.
Abstract
We study bilayer Fractional Quantum Hall State also known as Halperin state. We prove that for any filling fractions (positive rational numbers), there are infinite solutions that imply that infinite topological states are corresponding to any given filling fraction. Our results can apply to any charge vectors.
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Taxonomy
TopicsQuantum and electron transport phenomena · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography