Two holes in the t-J model form a bound state for any nonzero J/t

Abstract

Determination of the parameter regime in which two holes in the t-J model form a bound state represents a long standing open problem in the field of strongly correlated systems. By applying and systematically improving the exact diagonalization method defined over a limited functional space (EDLFS), we show that the average distance between two holes scales as $⟨d⟩\sim 2(J/t{)}^{-1/4}$ for J/t < 0.15, therefore providing strong evidence that two holes in the t-J model form the bound state for any nonzero J/t. However, the symmetry of such bound pair in the ground state is p-wave. This state is consistent with phase separation at finite hole filling, as observed in a recent study [Maska et al, Phys. Rev. B 85, 245113 (2012)].

References in corpus (9)

• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t'-t''-J model
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Numerical approach to low-doping regime of the t-J model
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Effective approach to the Nagaoka regime of the two dimensional t-J model

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• Feshbach hypothesis of high-Tc superconductivity in cuprates
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• Omnipresent bound state of two holes in antiferromagnetic Bethe lattices
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Local properties of the t-J model in a two-pole approximation within COM
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs