Bound states of holes in an antiferromagnet

Abstract

The formation of bound states of holes in an antiferromagnetic spin-1/2 background is studied using numerical techniques applied to the $\mathrm{t}-\mathrm{J}$ Hamiltonian on clusters with up to 26 sites. An analysis of the binding energy as a function of cluster size suggests that a two hole bound state is formed for couplings larger than a ``critical'' value $J/t{]}_{\mathrm{c}}$. The symmetry of the bound state is $\dx2y2$. We also observed that its ``quasiparticle'' weight ${\mathrm{Z}}_{2h}$ (defined in the text), is finite for all values of the coupling $J/t$. Thus, in the region $J/t\ge J/t{]}_{\mathrm{c}}$ the bound state of two holes behaves like a quasiparticle with charge $Q=2e$, spin $S=0$, and $\dx2y2$ internal symmetry. The relation with recent ideas that have suggested the possibility of d-wave pairing in the high temperature cuprate superconductors is briefly discussed.

12 pages and 3 figures (3 postscript files included), Report LPQTH-93/06

References in corpus (3)

• Indications of d_{x^2 - y^2} Superconductivity in the Two Dimensional t-J Model
• Dynamical Properties of a Single Hole in an Antiferromagnet
• Basis Set Reduction Applied to the Two Dimensional t-Jz Model

Cited by in corpus (27)

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• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Hole-hole superconducting pairing in the t-J model induced by spin-wave exchange
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• Stripe as an effective one-dimensional band of composite excitations
• Binding of Holes to Magnetic Impurities in a Strongly Correlated System
• Magnon-mediated Binding between Holes in an Antiferromagnet
• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Ground state properties and dynamics of the bilayer t-J model
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Dichotomy of heavy and light pairs of holes in the $t-J$ model
• Pair breaking by impurities in the two-dimensional t-J model
• Cooper pairs without 'glue' in high-$T_c$ superconductors
• Two holes in the t-J model form a bound state for any nonzero J/t
• Cuprates phase diagram deduced from magnetic susceptibility: what is the `true' pseudogap line?
• Evidence of attraction between charge-carriers in a doped Mott insulator
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Hole Pairs in the Two-Dimensional Hubbard Model
• Origin of the Fermi arcs in cuprates: a dual role of quasiparticle and pair excitations
• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Scattering theory of mesons in doped antiferromagnetic Mott insulators: Multichannel perspective and Feshbach resonance
• Two-hole bound states in modified t-J model
• Omnipresent bound state of two holes in antiferromagnetic Bethe lattices
• Attraction versus repulsion between doublons or holons in Mott-Hubbard systems
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Unraveling pairon excitations and the antiferromagnetic contributions in the cuprate specific heat