A simple model of a degenerate two-dimensional Bose liquid interacting with a fluctuating gauge field is investigated as a possible candidate to describe the charge degree of freedom in the normal state of the cuprate superconductors. We show that the fluctuating gauge field efficiently destroys superfluidity even in the Bose degenerate regime. We discuss the nature of the resulting normal state in terms of the geometric properties of the imaginary-time paths of the bosons. We will also present numerical results on the transport properties and the density correlations in the system. We find a transport scattering rate of \ensuremath{\hbar}/${\mathrm{\ensuremath{\tau}}}_{\mathrm{}\mathrm{tr}}$\ensuremath{\sim} ${2\mathrm{k}}_{\mathrm{B}}$ T, consistent with the experiments on the cuprates in the normal state. We also find that the density correlations of our model resemble the charge correlations of the t-J model.A simple model of a degenerate two-dimensional Bose liquid interacting with a fluctuating gauge field is investigated as a possible candidate to describe the charge degree of freedom in the normal state of the cuprate superconductors. We show that the fluctuating gauge field efficiently destroys superfluidity even in the Bose degenerate regime. We discuss the nature of the resulting normal state in terms of the geometric properties of the imaginary-time paths of the bosons. We will also present numerical results on the transport properties and the density correlations in the system. We find a transport scattering rate of \ensuremath{\hbar}/${\mathrm{\ensuremath{\tau}}}_{\mathrm{}\mathrm{tr}}$\ensuremath{\sim}${2\mathrm{k}}_{\mathrm{B}}$T, consistent with the experiments on the cuprates in the normal state. We also find that the density correlations of our model resemble the charge correlations of the t-J model.

arXiv:cond-mat/9607146Physical review. B, Condensed matterJan 1, 199712 citations

Numerical investigations of models of the cuprates

Thomas Devereaux

Jan 20, 20211 citation

Hidden Fermi liquid: The secret of high- Tc cuprates

Philip Warren Anderson

I present a formalism for dealing directly with the effects of the Gutzwiller projection implicit in the $t\text{\ensuremath{-}}J$ model which is widely believed to underlie the phenomenology of the high- ${T}_{c}$ cuprates. I suggest that a true BCS condensation from a Fermi-liquid state takes place but in the unphysical space prior to projection. The theory which results upon projection does not follow conventional rules of diagram theory and in fact in the normal state is a $Z=0$ non-Fermi liquid. Anomalous properties of the ``strange metal'' normal state are predicted and compared to experiments.I present a formalism for dealing directly with the effects of the Gutzwiller projection implicit in the $t\text{\ensuremath{-}}J$ model which is widely believed to underlie the phenomenology of the high-${T}_{c}$ cuprates. I suggest that a true BCS condensation from a Fermi-liquid state takes place but in the unphysical space prior to projection. The theory which results upon projection does not follow conventional rules of diagram theory and in fact in the normal state is a $Z=0$ non-Fermi liquid. Anomalous properties of the ``strange metal'' normal state are predicted and compared to experiments.

arXiv:0709.0656Physical Review BNov 6, 200845 citations

Non-equilibrium study of the phase diagram of cuprates

Fabio Boschini, Elia Razzoli, Marta Zonno +10 more

APSJan 1, 20190 citations

{2\mathrm{k}}_{\mathrm{B}}

T, consistent with the experiments on the cuprates in the normal state. We also find that the density correlations of our model resemble the charge correlations of the t-J model.

{T}_{c}

cuprates. I suggest that a true BCS condensation from a Fermi-liquid state takes place but in the unphysical space prior to projection. The theory which results upon projection does not follow conventional rules of diagram theory and in fact in the normal state is a

Z=0

non-Fermi liquid. Anomalous properties of the ``strange metal'' normal state are predicted and compared to experiments.