Extremely correlated Fermi liquid theory meets dynamical mean-field theory: Analytical insights into the doping-driven Mott transition

R. Žitko, D. Hansen, E. Perepelitsky, J. Mravlje, A. Georges, and B. S. Shastry
Phys. Rev. B 88, 235132 – Published 30 December 2013

Abstract

We consider a doped Mott insulator in the large dimensionality limit within both the recently developed extremely correlated Fermi liquid (ECFL) theory and the dynamical mean-field theory (DMFT). We show that the general structure of the ECFL sheds light on the rich frequency dependence of the DMFT self-energy. Using the leading Fermi liquid form of the two key auxiliary functions introduced in the ECFL theory, we obtain an analytical ansatz, which provides a good quantitative description of the DMFT self-energy down to hole doping level δ0.2. In particular, the deviation from Fermi liquid behavior and the corresponding particle-hole asymmetry developing at a low-energy scale are well reproduced by this ansatz. The DMFT being exact at large dimensionality, our study also provides a benchmark of the ECFL in this limit. We find that the main features of the self-energy and spectral line shape are well reproduced by the ECFL calculations in the O(λ2) minimal scheme, for not too low doping level δ0.3. The DMFT calculations reported here are performed using a state-of-the-art numerical renormalization-group impurity solver, which yields accurate results down to an unprecedentedly small doping level δ0.001.

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  • Received 20 September 2013
  • Revised 9 December 2013

DOI:https://doi.org/10.1103/PhysRevB.88.235132

©2013 American Physical Society

Authors & Affiliations

R. Žitko1,2, D. Hansen3, E. Perepelitsky3, J. Mravlje1, A. Georges4,5,6, and B. S. Shastry3

  • 1Jožef Stefan Institute, Jamova 39, SI-1000 Ljubljana, Slovenia
  • 2Faculty for Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia
  • 3Physics Department, University of California Santa Cruz, California 95064, USA
  • 4Centre de Physique Théorique, École Polytechnique, CNRS, 91128 Palaiseau Cedex, France
  • 5Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France
  • 6DPMC-MaNEP, Université de Genève, CH-1211 Genève, Switzerland

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Issue

Vol. 88, Iss. 23 — 15 December 2013

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