Pseudogap in Doped Mott Insulators is the Near-neighbour Analogue of the Mott Gap

Abstract

We show that the strong coupling physics inherent to the insulating Mott state in 2D leads to a jump in the chemical potential upon doping and the emergence of a pseudogap in the single particle spectrum below a characteristic temperature. The pseudogap arises because any singly-occupied site not immediately neighbouring a hole experiences a maximum energy barrier for transport equal to $t^2/U$, where $t$ is the nearest-neighbour hopping integral and $U$ the on-site repulsion. The resultant pseudogap cannot vanish before each lattice site, on average, has at least one hole as a near neighbour. The ubiquituity of this effect in all doped Mott insulators suggests that the pseudogap in the cuprates has a simple origin.

4.15 pages, with 4 .eps figures: this is the first reference in which the term Mottness is used

References in corpus (3)

• Pseudogaps in an Incoherent Metal
• Chemical potential shift in lightly-doped to overdoped Bi${}_2$Sr${}_2$Ca${}_{1-x}${\it R}${}_x$Cu${}_2$O${}_{8+y}$ ({\it R} = Pr, Er)
• Local Dynamics and Strong Correlation Physics I: 1D and 2D Half-filled Hubbard Models

Cited by in corpus (27)

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• Pseudogaps in Strongly Correlated Metals: A generalized dynamical mean-field theory approach
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• The Hubbard model within the equations of motion approach
• Much Ado about Zeros: The Luttinger Surface and Mottness
• Gapless superconductivity and the Fermi arc in the cuprates
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Mottness in High-Temperature Copper-Oxide Superconductors
• Mode-Coupling Model of Mott Gap Collapse in the Cuprates: Natural Phase Boundary for Quantum Critical Points
• The Full Mottness
• Doped Mott insulators are insulators: hole localization in the cuprates
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
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• Pseudogap transition within the superconducting phase in the three-band Hubbard model
• Clocking the Onset of Bilayer Coherence in a High-${\mathrm{T}}_{\mathrm{C}}$ Cuprate
• Pseudogap behaviour in Bi2212: Results of Generalized DMFT Approach
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• Dopant pairing in a disordered magnetic spin ladder
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