From small pockets to the Luttinger Fermi surface: understanding the local quantum chemistry in cuprates


L. Hozoi, M. S. Laad, and P. Fulde
Max Planck Institute for the Physics of Complex Systems, Dresden

We report results of fully ab-initio, wavefunction-based quantum chemical calculations describing correlated electron-removal and electron-addition quasiparticle states in layered copper oxides. In particular, the computed quasiparticle dispersion and Fermi-surface (FS) evolution with doping are compared with recent ARPES (angle-resolved photoemission spectroscopy) and SdH (Shubnikov-deHaas) measurements. We find that the FS evolves as a function of hole doping from small hole pockets in the deeply underdoped regime, via one with both hole- and electron-like sheets at slightly higher hole doping, to a large FS consistent with Luttinger's theorem at still higher doping levels. Beyond a critical hole concentration, it also becomes electron-like, in agreement with ARPES measurements. These findings permit us to offer a resolution of the controversy generated by the apparent inconsistency between the SdH data and the Luttinger sum rule for underdoped cuprates, as well as with the recent Hall-effect measurements suggesting an electron-like Hall constant for hole doped cuprates at low temperatures. Specifically, the presence of both hole- and electron-like sheets in the underdoped regime permits one to understand why the SdH results showing a density of charge carriers of 0.15 are reconcilable with Luttinger's theorem, which would imply a hole density of 0.10 at 10 percent doping. The electron-like Hall constant at low-T can now be rationalized in terms of having both hole- and electron-like quasiparticles with different densities and mobilities. Our approach addresses these issues from a first principles perspective, in contrast to alternative schemes, where a partial subset of these issues remains to be addressed, in spite of tremendous progress.

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