Berry Phases with Real Hamiltonians With and Without a Many-body System as a Background
S. P. Hong, H. Doh, S. H. Suck Salk
Abstract
We present both the gauge theoretic description and the numerical calculations of the Berry phases with the real eigenstates, involving one with a many-body system as a background and the other with no such background. We demonstrate that for the former the sign of the Berry phase factor for a spin 12 particle (hole) coupled to a slow subsystem (phonon) depends on both the strength of electron correlations and the characteristics of the closed paths, unlike the cases for the latter.
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