Numerical approach to low-doping regime of the t-J model

Abstract

We develop an efficient numerical method for the description of a single-hole motion in the antiferromagnetic background. The method is free of finite-size effects and allows calculation of physical properties at an arbitrary wavevector. Methodical increase of the functional space leads to results that are valid in the thermodynamic limit. We found good agreement with cumulant expansion, exact- diagonalization approaches on finite lattices as well as self-consistent Born approximations. The method allows a straightforward addition of other inelastic degrees of freedom, such as lattice effects. Our results confirm the existence of a finite quasiparticle weight near the band minimum for a single hole and the existence of string-like peaks in the single-hole spectral function.

6 pages, 6 figures, accepted for publication in PRB

References in corpus (13)

• Correlated Electrons in High Temperature Superconductors
• The Holstein Polaron
• Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
• Polaron in t-J model
• Polaronic behavior of undoped high-Tc cuprates
• Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t'-t''-J model
• Single hole dynamics in the t-J model on a square lattice
• Dynamical properties of the single--hole $t$--$J$ model on a 32--site square lattice
• Single hole spectral function and spin-charge separation in the t-J model
• Dynamical Properties of a Single Hole in an Antiferromagnet
• Spatial Structure of Spin Polarons in the t-J Model
• Quasiparticle vanishing driven by geometrical frustration
• Spin-polaron excitations in a doped Shastry-Sutherland model

Cited by in corpus (42)

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• Ultra-fast photo-carrier relaxation in Mott insulators with short-range spin correlations
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Signature of antiferromagnetic long-range order in the optical spectrum of strongly correlated electron systems
• Optical response of highly excited particles in a strongly correlated system
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• Lanczos transformation for quantum impurity problems in d-dimensional lattices: application to graphene nanoribbons
• Dynamical Transition in Interaction Quenches of the One-Dimensional Hubbard Model
• Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant electric field
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• Hidden Quasiparticles and Incoherent Photoemission Spectra in Na2IrO3
• Coupled charge and spin dynamics in a photo-excited Mott insulator
• Optical conductivity of doped Mott insulator: the interplay between correlation and electron-phonon interaction
• Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Neel states to non-Fermi liquid in the Kitaev phase
• Unusual Two-stage Dynamics of the Spin-Lattice Polaron Formation
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• Delocalized charge carriers in strongly disordered t-J model
• A computational approach to a doped antiferromagnet: correlations between two spin-polarons in the lightly doped CuO${}_2$ plane
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Aharonov-Bohm interference for a hole in a two-dimensional Ising antiferromagnet in a transverse magnetic field
• Complete many-body localization in the t-J model caused by random magnetic field
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Spin-polaron band structure and hole pockets in underdoped cuprates
• Optical conductivity in the t-J-Holstein Model
• Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths
• Two holes in the t-J model form a bound state for any nonzero J/t
• Comparison of the Iterated Equation of Motion Approach and the Density Matrix Formalism for the Quantum Rabi Model
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Gain of the kinetic energy of bipolarons in the t-J-Holstein model based on electron-phonon coupling
• Ising t-J model close to half filling: A Monte Carlo study
• The Ising version of the t-J model
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Charge dynamics in magnetically disordered Mott insulators
• Slave-boson based configuration-interaction approach for the Hubbard model
• Computational scheme for the spin-1/2 square lattice Heisenberg antiferromagnet based on an octapartite description of the square lattice
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Dressing due to correlations strongly reduces the effect of electron-phonon coupling
• Exact ground state for the four-electron problem in a 2D finite honeycomb lattice