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Novel Charge, Spin Transport, and Topological Properties of 2D Electron Systems in Quantum Hall Effect

This research explores the non-abelian quantum Hall effect and its spectrum gap which protects topological Pfaffian states, potentially benefiting quantum computing. We investigate quantum Hall behaviors in bilayer graphene systems where the Dirac spectrum significantly influences transport properties. Additionally, small-scale projects derived from this research are integrated into a newly developed undergraduate course (PHYS 466) at CSUN, where students examine concepts like density of states and edge states, contributing to their understanding of Hubbard interactions in electron systems. Supported by NSF-PREM DMR-0611562.

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Novel Charge, Spin Transport, and Topological Properties of 2D Electron Systems in Quantum Hall Effect

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  1. PREM Multidisciplinary Research and Education in Computational Materials NovelCharge, Spin Transport and Topological Properties of 2D Electron Systems Donna Sheng, Hao Wang, Amy Huang (CSUN), F. D. M. Haldane (PCCM) • We study the non-abelian quantum Hall effect, a spectrum gap is established to protect topological degenerating Pfaffian states, which may have novel applications in quantum computing. • We also study the quantum Hall effect in bilayer graphene systems, where the Dirac spectrum also plays a central role in controlling the quantum transports • Small projects involved in this research are used in a new course taught at CSUN by Dr. Sheng (PHYS 466) for undergraduate students, where density of states, edge states, and effect of Hubbard interaction for electrons were looked at by students in class. • The research is supported by NSF-PREM DMR-0611562 quantum phase transition gap

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