Fractional and Majorana Fermions: The Physics of Zero Energy Modes
R. Jackiw
TL;DR
This paper explores zero-energy modes in the Dirac equation within topologically non-trivial backgrounds, highlighting their physical significance and potential implications in condensed matter and quantum physics.
Contribution
It provides a detailed analysis of fractional and Majorana fermions as zero-energy modes in topological systems, offering new insights into their physical roles.
Findings
Zero-energy modes are linked to topological properties of the background.
Majorana fermions can emerge as zero-energy solutions in certain systems.
The physical implications of these modes are discussed in context of quantum computing.
Abstract
We describe the occurrence and physical role of zero-energy modes in the Dirac equation with a topologically non-trivial background.
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