The paper proves existence and, in a smaller parameter range, uniqueness of solutions to a Matsubara frequency discretization of the IPT-DMFT equations, analyzes the Hubbard dimer, and reports numerical evidence that discretized solutions can fail the Pick interpolation criterion.
A mathematical analysis of IPT-DMFT, June
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A mathematical analysis of the discretized IPT-DMFT equations
The paper proves existence and, in a smaller parameter range, uniqueness of solutions to a Matsubara frequency discretization of the IPT-DMFT equations, analyzes the Hubbard dimer, and reports numerical evidence that discretized solutions can fail the Pick interpolation criterion.