Fidelity susceptibility and conductivity of the current in one-dimensional lattice models with open or periodic boundary conditions

Sebastian Greschner, A.K. Kolezhuk & T. Vekua
We study, both numerically and analytically, the finite-size scaling of the fidelity susceptibility χJ with respect to the charge or spin current in one-dimensional lattice models and relate it to the low-frequency behavior of the corresponding conductivity. It is shown that in gapless systems with open boundary conditions the leading dependence on the system size L stems from the singular part of the conductivity and is quadratic, with a universal form χJ=[7ζ(3)/2π4]KL2, where K is...
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