Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors

Details Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors

2011-09-02

arxiv.org/abs/1109.0406v2

PhysRevB.85.134519 2012

Physics

Condensed Matter

Superconductivity

The final version in PRB

Scientific paper

10.1103/PhysRevB.85.134519

Based on the NMR measurements on Bi$_2$Sr$_{2-x}$La$_x$CuO$_{6+\delta}$ (La-Bi2201) in strong magnetic fields, we identify the non-superconducting pseudogap phase in the cuprates as a Luttinger-volume violating Fermi liquid (LvvFL). This state is a zero temperature quantum liquid that does not break translational symmetry, and yet, the Fermi surface encloses a volume smaller than the large one given by the Luttinger theorem. The particle number enclosed by the small Fermi surface in the LvvFL equals the doping level $p$, not the total electron number $n_e=1-p$. Both the phase string theory and the dopon theory are introduced to describe the LvvFL. For the dopon theory, we can obtain a semi-quantitative agreement with the NMR experiments.

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