  The adiabatic transport properties of U(1) invariant systems are determined
by the dependence of the ground state energy on the twisted boundary condition.
We examine a one-dimensional tight-binding model in the presence of a single
defect and find that the ground state energy of the model shows a universal
dependence on the twist angle that can be fully characterized by the
transmission coefficient of the scattering by the defect. We identify resulting
pathological behaviors of Drude weights in the large system size limit: (i)
both the linear and nonlinear Drude weights depend on the twist angle and (ii)
the $N$-th order Drude weight diverges proportionally to the $(N-1)$-th power
of the system size. To clarify the physical implication of the divergence, we
simulate the real-time dynamics of the tight-binding model under a static
electric field and show that the divergence does not necessarily imply the
large current. Furthermore, we address the relation between our results and the
boundary conformal field theory.
