A comprehensive numerical and analytical study of two holes doped into the 2D t-J model

Abstract

We report on a detailed examination of numerical results and analytical calculations devoted to a study of two holes doped into a two-dimensional, square lattice described by the t-J model. Our exact diagonalization numerical results represent the first solution of the exact ground state of 2 holes in a 32-site lattice. Using this wave function, we have calculated several important correlation functions, notably the electron momentum distribution function and the hole-hole spatial correlation function. Further, by studying similar quantities on smaller lattices, we have managed to perform a finite-size scaling analysis. We have augmented this work by endeavouring to compare these results to the predictions of analytical work for two holes moving in an infinite lattice. This analysis relies on the canonical transformation approach formulated recently for the t-J model. From this comparison we find excellent correspondence between our numerical data and our analytical calculations. We believe that this agreement is an important step helping to justify the quasiparticle Hamiltonian, and in particular, the quasiparticle interactions, that result from the canonical transformation approach. Also, the analytical work allows us to critique the finite-size scaling ansatzes used in our analysis of the numerical data. One important feature that we can infer from this successful comparison involves the role of higher harmonics in the two-particle, d-wave symmetry bound state -- the conventional (\cos(k_x) - \cos(k_y)) term is only one of many important contributions to the d-wave symmetry pair wave function.

RevTeX, 25 pages, 15 figures included. One major typo is corrected

References in corpus (1)

• Revisiting two holes in a locally antiferromagnetic background: the role of retardation and Coulomb repulsion effects

Cited by in corpus (38)

• Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
• Superconducting gap in the presence of bilayer splitting in underdoped Bi(Pb)2212
• Holes in the t-J_z model: a thorough study
• Theory for Slightly Doped Antiferromagnetic Mott Insulators
• Signatures of a staggered-flux phase in the t-J model with two holes on a 32-site lattice
• Charge Recombination in Undoped Cuprates
• Stripes, Vibrations and Superconductivity
• Nature of strong hole pairing in doped Mott antiferromagnets
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• Stripe as an effective one-dimensional band of composite excitations
• Low energy states with different symmetries in the t-J model with two holes on a 32-site lattice
• Kinetic energy driven superconductivity and pseugogap phase in weakly doped antiferromagnets
• Studies of one- and two-hole states in the 2D t-J model via series expansions
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Spectral properties near the Mott transition in the two-dimensional t-J model
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• 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
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Symmetry of Photoexcited States and Large-Shift Raman Scattering in Two-Dimensional Mott Insulators
• Hole correlation and antiferromagnetic order in the t-J model
• Low-energy spectra in the t-J type models at light doping
• Dichotomy of heavy and light pairs of holes in the $t-J$ model
• Two holes in the t-J model form a bound state for any nonzero J/t
• Pseudogap Phase: Exchange Energy Driven vs. Kinetic Energy Driven
• Revisit Phase Separation of the Two-Dimensional $t-J$ model by the Power-Lanczos Method
• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Gain of the kinetic energy of bipolarons in the t-J-Holstein model based on electron-phonon coupling
• Electron momentum distribution in underdoped cuprates
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Omnipresent bound state of two holes in antiferromagnetic Bethe lattices
• Charge carrier correlation in the electron-doped t-J model
• Coexistence of d_{x^2-y^2}-Wave Superconductivity and Antiferromagnetism Induced by a Staggered Field
• Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet
• Magnetic correlations in the $SU(3)$ triangular-lattice $t$-$J$ model at finite doping
• Electron Momentum Distribution Function in the t-t'-J Model