Hole correlation and antiferromagnetic order in the t-J model

Abstract

We study the t-J model with four holes on a 32-site square lattice using exact diagonalization. This system corresponds to doping level x=1/8. At the ``realistic'' parameter J/t=0.3, holes in the ground state of this system are unbound. They have short range repulsion due to lowering of kinetic energy. There is no antiferromagnetic spin order and the electron momentum distribution function resembles hole pockets. Furthermore, we show evidence that in case antiferromagnetic order exists, holes form d-wave bound pairs and there is mutual repulsion among hole pairs. This presumably will occur at low doping level. This scenario is compatible with a checkerboard-type charge density state proposed to explain the ``1/8 anomaly'' in the LSCO family, except that it is the ground state only when the system possesses strong antiferromagnetic order.

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Cited by in corpus (10)

• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Self-energy and Fermi surface of the 2-dimensional Hubbard model
• Orientational symmetry-breaking correlations in square lattice t-J model
• Spectral properties near the Mott transition in the two-dimensional t-J model
• Spin-polaron band structure and hole pockets in underdoped cuprates
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Theory of the Lightly Doped Mott Insulator
• Spectral Function of a $d-p$ Hubbard Model
• Charge carrier correlation in the electron-doped t-J model
• Doping driven Small-to-Large Fermi surface transition and d-wave superconductivity in a two-dimenional Kondo lattice