Pattern of Zeros
Modjtaba Shokrian Zini, Zhenghan Wang, Xiao-Gang Wen
TL;DR
This paper establishes rigorous definitions to support the classification of fractional quantum Hall states based on their zero patterns, advancing the mathematical foundation of this area.
Contribution
It introduces formal definitions that enable rigorous proofs of key results in the pattern of zeros classification for fractional quantum Hall states.
Findings
Provides a rigorous mathematical framework for pattern of zeros
Enables formal proofs of classification results
Strengthens theoretical understanding of fractional quantum Hall states
Abstract
In this paper, we provide a set of definitions upon which one can prove in a rigorous way most of the main results achieved in the pattern of zeros classification of fractional quantum Hall states.
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Taxonomy
TopicsQuantum and electron transport phenomena · Low-power high-performance VLSI design · Advancements in Semiconductor Devices and Circuit Design