Analytical approach to the t—t′—J model: Quasi-particle dispersion, Fermi surface and optical conductivity

Sergei I. Mukhin and L. Jos de Jongh

Physica A: Statistical Mechanics and its Applications, 1996, vol. 228, issue 1, 115-125

Abstract: An approximate, analytically solvable ansatz for the self-energy of a single hole in the 2-dimensional t—t′—J model, at t ⪢ J, t′, is proposed: 〈M2q,Q〉Q(f(ω)+iΓ(ω)). It features consistently: 1) the incoherence of a substantial part of the hole spectral weight, asymmetrically stretched over an energy interval of width ∼ t; 2) the collective nature of the quasi-particle dispersion, ϵ(q), with q-dependence generated by the spin-hole scattering matrix element, and 3) the enhancement of the quasi-particle mass, m* ∼ (Jln(t/J))−1, i.e. a renormalization of the quasi-particle bandwidth: ∼ Jln(t/J). Our analytical result for ϵ(q) is in good accord with existing numerical data for the t-J model. Calculated optical conductivity exhibits single-hole/multimagnon resonances superimposed on a 1/ω tail of width ∼ t. A change of the curvature of the Fermi surface from hole-like to electron-like with doping is also found.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:228:y:1996:i:1:p:115-125

DOI: 10.1016/S0378-4371(96)00053-2

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