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People often talk about particle-hole symmetry in solid state physics. What are the exact definition and physics picture of particle-hole symmetry? How to define the density of particles and holes?

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I asked this question myself and couldn't find a clear cut definition, but there are some articles and papers that circumscribe it. I think it is possible to get a sense of particle-hole symmetry out of them. These two describe the transformation: and . Describes symmetry in atomic limit (no jumping to or from impurity): Edit: re-entered the comment because there was a broken link and could'nt edit the comment anymore. – hauntergeist Jun 13 '14 at 11:43

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