An exactly soluble model for superconductors with electron-hole pairing

The dynamical similarities between the three-dimensional (3D) electron fluid ``jellium'' model and the exactly soluble 1D fermion fluid with attractive \ensuremath{\delta}-function pairwise potentials motivates solving the Cooper-pair problem in this model for all couplings and/or densities. This is accomplished exactly in graphical form. For weak coupling, the essential singularity characteristic of standard 3D low-temperature superconductivity reemerges, and for infinite coupling, BCS theory reproduces the exact ground-state system energy.The dynamical similarities between the three-dimensional (3D) electron fluid ``jellium'' model and the exactly soluble 1D fermion fluid with attractive \ensuremath{\delta}-function pairwise potentials motivates solving the Cooper-pair problem in this model for all couplings and/or densities. This is accomplished exactly in graphical form. For weak coupling, the essential singularity characteristic of standard 3D low-temperature superconductivity reemerges, and for infinite coupling, BCS theory reproduces the exact ground-state system energy.

Physical Review AOct 1, 199117 citations

Spectral weights, d -wave pairing amplitudes, and particle-hole tunneling asymmetry of a strongly correlated superconductor

Chung-Pin Chou, T. K. Lee, Chang-Ming Ho

The spectral weights (SW's) for adding and removing an electron of the Gutzwiller projected $d$ -wave superconducting (SC) state of the $t\text{\ensuremath{-}}J$-type models are studied numerically on finite lattices. We restrict the study to the uniform system but exactly treat the strong correlation between electrons, we show that the product of weights is equal to the pairing amplitude squared, the same as in the weakly coupled case. In addition, we derive a rigorous relation of SW with doping in the electron doped system and obtain particle-hole asymmetry of the conductance-proportional quantity within the SC gap energy and, also, the anticorrelation between gap sizes and peak heights observed in tunneling spectroscopy on high ${T}_{c}$ cuprates.The spectral weights (SW's) for adding and removing an electron of the Gutzwiller projected $d$-wave superconducting (SC) state of the $t\text{\ensuremath{-}}J$-type models are studied numerically on finite lattices. We restrict the study to the uniform system but exactly treat the strong correlation between electrons, we show that the product of weights is equal to the pairing amplitude squared, the same as in the weakly coupled case. In addition, we derive a rigorous relation of SW with doping in the electron doped system and obtain particle-hole asymmetry of the conductance-proportional quantity within the SC gap energy and, also, the anticorrelation between gap sizes and peak heights observed in tunneling spectroscopy on high ${T}_{c}$ cuprates.

arXiv:cond-mat/0606633Physical Review BSep 13, 200623 citations

A one-dimensional model of hole superconductivity

J. Zittartz, Andreas Klümper, Andreas Schadschneider +1 more

Physica B Condensed MatterFeb 1, 19943 citations

The spectral weights (SW's) for adding and removing an electron of the Gutzwiller projected

d

-wave superconducting (SC) state of the $t\text{\ensuremath{-}}J$-type models are studied numerically on finite lattices. We restrict the study to the uniform system but exactly treat the strong correlation between electrons, we show that the product of weights is equal to the pairing amplitude squared, the same as in the weakly coupled case. In addition, we derive a rigorous relation of SW with doping in the electron doped system and obtain particle-hole asymmetry of the conductance-proportional quantity within the SC gap energy and, also, the anticorrelation between gap sizes and peak heights observed in tunneling spectroscopy on high

{T}_{c}

cuprates.