Landau mapping and Fermi liquid parameters of the 2D t-J model

Abstract

We study the momentum distribution function n(k) in the 2D t-J model on small clusters by exact diagonalization. We show that n(k) can be decomposed systematically into two components with Bosonic and Fermionic doping dependence. The Bosonic component originates from the incoherent motion of holes and has no significance for the low energy physics. For the Fermionic component we exlicitely perform the one-to-one Landau mapping between the low lying eigenstates of the t-J model clusters and those of an equivalent system of spin-1/2 quasiparticles. This mapping allows to extract the quasiparticle dispersion, statistics, and Landau parameters. The results show conclusively that the 2D t-J model for small doping is a Fermi liquid with a `small' Fermi surface and a moderately strong attractive interaction between the quasiparticles.

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• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds
• Hole-hole superconducting pairing in the t-J model induced by spin-wave exchange
• Large size two-hole bound states in t-J model
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• Theory of the Lightly Doped Mott Insulator
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• Bond particle theory for the pseudogap phase of underdoped cuprates
• Doping driven Small-to-Large Fermi surface transition and d-wave superconductivity in a two-dimenional Kondo lattice