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Chebyshev matrix product state impurity solver for dynamical mean-field theory

Abstract : We compute the spectral functions for the two-site dynamical cluster theory and for the two-orbital dynamical mean-field theory in the density-matrix renormalization group (DMRG) framework using Chebyshev expansions represented with matrix product states (MPS). We obtain quantitatively precise results at modest computational effort through technical improvements regarding the trun-cation scheme and the Chebyshev rescaling procedure. We furthermore establish the relation of the Chebyshev iteration to real-time evolution, and discuss technical aspects as computation time and implementation in detail.
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F. Alexander Wolf, Ian P. Mcculloch, Olivier Parcollet, Ulrich Schollwöck. Chebyshev matrix product state impurity solver for dynamical mean-field theory. Biophysical Reviews and Letters, World Scientific Publishing, 2014, 90, pp.115124. ⟨10.1103/PhysRevB.90.115124⟩. ⟨cea-01232791⟩

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