Doped Mott insulators are insulators: hole localization in the cuprates

Abstract

We demonstrate that a Mott insulator lightly doped with holes is still an insulator at low temperature even without disorder. Hole localization obtains because the chemical potential lies in a pseudogap which has a vanishing density of states at zero temperature. The energy scale for the pseudogap is set by the nearest-neighbour singlet-triplet splitting. As this energy scale vanishes if transitions, virtual or otherwise, to the upper Hubbard band are not permitted, the fundamental length scale in the pseudogap regime is the average distance between doubly occupied sites. Consequently, the pseudogap is tied to the non-commutativity of the two limits $U\to \infty$ ($U$ the on-site Coulomb repulsion) and $L\to \infty$ (the system size).

4 pages, 3 .eps files

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Cited by in corpus (26)

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• Quantum oscillations in the parent magnetic phase of an iron arsenide high temperature superconductor
• Metal-insulator quantum critical point beneath the high Tc superconducting dome
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Visualizing the atomic scale electronic structure of the Ca2CuO2Cl2 Mott insulator
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Much Ado about Zeros: The Luttinger Surface and Mottness
• Mottness in High-Temperature Copper-Oxide Superconductors
• Theory of Resistivity Upturns in Metallic Cuprates
• Strongly correlated doped hole carriers in the superconducting nickelates: Their location, local many-body state, and low-energy effective Hamiltonian
• Experimental Evidence that Zn Impurities Pin Pair-Density-Wave Order in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Polar Kerr effect from chiral-nematic charge order
• Hidden Charge 2e Boson: Experimental Consequences for Doped Mott Insulators
• How to control pairing fluctuations: SU(2) slave-rotor gauge theory of the Hubbard model
• Localized in-gap state in a single electron doped Mott insulator
• Magnetic and Structural Properties of the Iron Oxychalcogenides La${}_2$O${}_2$Fe${}_2$O$M_2$ ($M$= S, Se)
• High-Temperature Criticality in Strongly Constrained Quantum Systems
• From "Weak" to "Strong" Hole Confinement in a Mott Insulator
• Doping evolution of the electronic specific heat coefficient in slightly-doped La2-xSrxCuO4 single crystals
• Charge 2e Boson Underlies Two - Fluid Model of the Pseudogap in Cuprate Superconductors
• Implication of the Mott-limit violation in high-Tc cuprates
• Numerically exact mimicking of quantum gas microscopy for interacting lattice fermions
• On kinetic energy stabilized superconductivity in cuprates
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Insulating spin liquid in the lightly doped two-dimensional Hubbard model