Split Property and Fermionic String Order
Taku Matsui
TL;DR
This paper establishes the split property for gapped ground states in one-dimensional fermion systems and clarifies the mathematical interpretation of fermionic string order.
Contribution
It introduces a rigorous mathematical framework for understanding string order in fermionic systems and proves the split property for these states.
Findings
Proves split property for gapped fermionic ground states
Provides a mathematical interpretation of fermionic string order
Enhances understanding of quantum order in fermionic chains
Abstract
We show split property of gapped ground states for Fermion systems on a one-dimensional lattice and clarify mathematical meaning of string order of fermions.
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Taxonomy
TopicsTopological Materials and Phenomena · Quantum many-body systems · Quantum and electron transport phenomena