On the Nagaoka polaron in the t-J model

Abstract

It is widely believed that a single hole in the two (or three) dimensional t-J model, for sufficiently small exchange coupling J, creates a ferromagnetic bubble around itself, a finite J remnant of the ferromagnetic groundstate at J=0 (the infinite U Hubbard model), first established by Nagaoka. We investigate this phenomenon in two dimensions using the density matrix renormalization group, for system sizes up to 9x9. We find that the polaron forms for J/t<0.02-0.03 (a somewhat larger value than estimated previously). Although finite-size effects appear large, our data seems consistent with the expected 1.1(J/t)^{-1/4} variation of polarion radius. We also test the Brinkman-Rice model of non-retracing paths in a Neel background, showing that it is quite accurate, at larger J. Results are also presented in the case where the Heisenberg interaction is dropped (the t-J^z model). Finally we discuss a "dressed polaron" picture in which the hole propagates freely inside a finite region but makes only self-retracing excursions outside this region.

7 pages, 9 encapsulated figures

References in corpus (1)

• Holes in the t-J_z model: a thorough study

Cited by in corpus (47)

• New Trends in Density Matrix Renormalization
• Exploration of doped quantum magnets with ultracold atoms
• Parton theory of magnetic polarons: Mesonic resonances and signatures in dynamics
• Direct observation of incommensurate magnetism in Hubbard chains
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Microscopic spinon-chargon theory of magnetic polarons in the t-J model
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Directly imaging spin polarons in a kinetically frustrated Hubbard system
• Meson formation in mixed-dimensional t-J models
• Doped carrier formulation and mean-field theory of the tt't''J model
• Quantum correlations at infinite temperature: the dynamical Nagaoka effect
• Classical Antiferromagnetism in Kinetically Frustrated Electronic Models
• Doped Mott insulators are insulators: hole localization in the cuprates
• Stripe as an effective one-dimensional band of composite excitations
• Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons
• Pairing of holes by confining strings in antiferromagnets
• Dominant fifth-order correlations in doped quantum anti-ferromagnets
• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Aharonov-Bohm interference for a hole in a two-dimensional Ising antiferromagnet in a transverse magnetic field
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Single-hole properties of the t-J model on the honeycomb lattice
• Two holes in the t-J model form a bound state for any nonzero J/t
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Spin and charge modulations in a single hole doped Hubbard ladder -- verification with optical lattice experiments
• Finite-Temperature Kinetic Ferromagnetism in the Square Lattice Hubbard Model
• New results for the t-J model in ladders: Changes in the spin liquid state with applied magnetic field. Implications for the 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
• Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models
• The Ising version of the t-J model
• Effective interaction in a non-Fermi liquid conductor and spin correlations in under-doped cuprates
• Functional renormalization group for extremely correlated electrons
• Ferromagnetic diagonal stripe states in the two-dimensional Hubbard model with $U\lesssim \infty$
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Formation and local symmetry of Holstein polaron in t-J model
• Signatures of correlated magnetic phases in the local two-particle density matrix
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• Optimal array geometries for kinetic magnetism and Nagaoka polarons
• Spatial structure of magnetic polarons in strongly interacting antiferromagnets
• Ferromagnetic clouds caused by hole motion in a one-dimensional $t$-$J$ mode
• The t-Jz ladder
• The short-range correlations of a doped Mott insulator
• Itinerant magnetism in Hubbard models with long-range interactions
• Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder
• Exact nonequilibrium hole dynamics, magnetic polarons and string excitations in antiferromagnetic Bethe lattices