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Near a nodal point the linearized Hamiltonian takes a Dirac-like form. The Doppler shift enters as a scalar potential of this Dirac-like Hamiltonian while the topological, "Berry phase" like terms appear as its vector potential. Note that this vector potential changes with different choices of the singular gauge (i.e., different choices of subsets A and B) while the scalar potential remains invariant. The half-flux Aharonov-Bohm scattering caused by the vector potential, however, CANNOT be removed by choice of gauge: it strongly affects the low energy states of the nodal quasiparticle Hamiltonian.

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