Berry curvature is defined by
Ωn,μν(R)=∂An,ν∂Rμ−∂An,μ∂Rν
where R is an parameter in hamiltonian. I think it is well defined if the dimension of parameter R is more than 2. But what if the dimension of parameter R is 1? Is it possible to say something about Berry curvature if the dimension of parameter is 1? If the dimension is 1, I think even the closed path integral for Berry phase is not well derfined.
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