Theory of extreme correlations using canonical Fermions and path integrals

Abstract

The t-J model is studied using a novel and rigorous mapping of the Gutzwiller projected electrons, in terms of canonical electrons. The mapping has considerable similarity to the Dyson-Maleev transformation relating spin operators to canonical Bosons. This representation gives rise to a non Hermitean quantum theory, characterized by minimal redundancies. A path integral representation of the canonical theory is given. Using it, the salient results of the extremely correlated Fermi liquid (ECFL) theory, including the previously found Schwinger equations of motion, are easily rederived. Further a transparent physical interpretation of the previously introduced auxiliary Greens functions and the caparison factor is obtained. The low energy electron spectral function in this theory with a strong intrinsic asymmetry, is summarized in terms of a few expansion coefficients. These include an important emergent energy scale ${\Delta }_0$ that shrinks to zero on approaching the insulating state, thereby making it difficult to access the underlying low energy Fermi liquid behavior. The scaled low frequency ECFL spectral function is related simply to the Fano line shape. The resulting energy dispersion (EDC or MDC) is a hybrid of a massive and a massless Dirac spectrum $E_Q^{\ast }\sim \gamma Q-\sqrt{{\Gamma }_0^2+Q^2}$, where the vanishing of $Q$, a momentum like variable, locates the kink. Therefore the quasiparticle velocity interpolates between $(\gamma \mp 1)$ over a width ${\Gamma }_0$ on the two sides of $Q=0$. The resulting kink strongly resembles a prominent low energy feature seen in angle resolved photoemission spectra (ARPES) of cuprate materials. We also propose novel ways of analyzing the ARPES data to isolate the predicted asymmetry between particle and hole excitations.

27 pages, 1 Figure, Updated figure and discussion of the "kink" feature

References in corpus (4)

• Critical fermi surfaces and non-fermi liquid metals
• Extremely Correlated Fermi Liquid Description of Normal State ARPES in Cuprates
• Extremely Correlated Fermi Liquids: The Formalism
• Extremely Correlated Fermi Liquids in the limit of infinite dimensions

Cited by in corpus (13)

• Low energy physics of the t-J model in $d=\infty$ using Extremely Correlated Fermi Liquid theory: Cutoff Second Order Equations
• A Strange Metal from Gutzwiller correlations in infinite dimensions
• Aspects of the Normal State Resistivity of Cuprate Superconductors
• Origin of Kinks in Energy Dispersion of Strongly Correlated Matter
• Extremely Correlated Fermi Liquid theory of the $t$-$J$ model in 2 dimensions: Low Energy properties
• Extremely correlated fermi liquid of $t$-$J$ model in two dimensions
• Diagrammatic $\lambda$ series for extremely correlated Fermi liquids
• The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group
• Gutzwiller projection for exclusion of holes: Application to strongly correlated Ionic Hubbard Model and Binary Alloys
• Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz
• Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to $\mathcal{O}({\lambda }^3)$
• Renormalization Group Study of a Fragile Fermi liquid in $1+\epsilon$ dimensions
• Extremely Correlated Superconductors