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This is strictly true only for the semicircular DOS and for the cubic lattice. For the lattice gas the DOS is not symmetric and chemical potential may, in principle, be very different in different calculations. The very close results for DMFT and MF can be attributed to the existence of a sizeable gap, which strongly constraints the position of the chemical potential
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This is strictly true only for the semicircular DOS and for the cubic lattice. For the lattice gas the DOS is not symmetric and chemical potential may, in principle, be very different in different calculations. The very close results for DMFT and MF can be attributed to the existence of a sizeable gap, which strongly constraints the position of the chemical potential.
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