Journal
PHYSICAL REVIEW B
Volume 104, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.235122
Keywords
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Funding
- DOE-BES [DE-FG02-07ER46423]
- CNPq
- FAPERJ
- Instituto Nacional de Ciencia e Tecnologia de InformacAo Quantica (INCT-IQ)
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By analyzing the single-particle spectral function for the Fermi Hubbard model, it was found that the Fermi surface undergoes a transition from a large Fermi surface to a smaller one near the Mott insulator. This non-Fermi liquid phase violates the Luttinger count and experiments have shown consistency with these numerical results.
One of the fundamental questions about high-temperature cuprate superconductors is the size of the Fermi surface underlying the superconducting state. By analyzing the single-particle spectral function for the Fermi Hubbard model as a function of repulsion U and chemical potential mu, we find that the Fermi surface in the normal state undergoes a transition from a large Fermi surface matching the Luttinger volume as expected in a Fermi liquid, to a Fermi surface that encloses fewer electrons that we dub the Luttinger breaking phase, as the Mott insulator is approached. This transition into a non-Fermi-liquid phase that violates the Luttinger count occurs at a critical density in the absence of any other broken symmetry. We obtain the Fermi-surface contour from the spectral weight A(k)(w = 0) and from an analysis of the singularities of the Green's function Re G(k)(E = 0), calculated using determinantal quantum Monte Carlo and analytic continuation methods. We discuss our numerical results in connection with experiments on Hall measurements, scanning tunneling spectroscopy, and angle-resolved photoemission spectroscopy.
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