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The standard view is that at low energies Mott insulators exhibit only magnetic properties while charge degrees of freedom are frozen out as the electrons become localized by a strong Coulomb repulsion.
Bogoliubov came very close to this result long ago, by using a perturbative approach with respect to the small parameter t / U t/U to describe the correlated metallic state. N. N. Bogolyubov, Lectures on Quantum Statistics, Gordon and Breach, New York, p. 120 (1967)
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Also at the Loughborough University, Loughborough, UK
Cited in the paper.
Actually χ 12 , 3 \chi_{12,3} characterizes the magnitude of an orbital current as shown in the paper and this object is achiral according to the strict mathematical definition of chirality
Cited in the paper.