Higher-Dimensional Luttinger Liquid Behavior in Doped Cuprates. What can we learn from Cluster-DMFT?

Mukul Laad

Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany

(work done partially with L. Craco)

We introduce a new cellular DMFA to study the nature of the Mott transition and emergent non-FL behavior in doped cuprates. We study the extended Hubbard model as an effective model for Cu-O layers in the 2D cuprates. We find:

(i) A first order Mott transition from a d-wave Mott insulator to d-wave metal, upon hole doping, and,

(ii) in absence of the d-wave pseudogap, an explicit realisation of Anderson's Luttinger liquid, arising from a selfconsistent X-ray edge mechanism in the 2D lattice model.

We have applied our results to show that qualitative (and sometimes semi-quantitative) understanding of the properties of near-optimally doped cuprates can be obtained from cluster-DMFT results. In particular, ARPES results at near and less than optmal doping are interpreted in terms of a higher-dimensional (tomographic) Luttinger liquid picture. A list of three of your most recent publications

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