Wave function and spatial structure of polarons in an antiferromagnetic bilayer

Abstract

Adding a dopant to an antiferromagnetic spin background disturbs the magnetic order and leads to the formation of a quasiparticle coined the magnetic polaron, which plays a central role in understanding strongly correlated materials. Recently, remarkably detailed insights into the spatial properties of such polarons have been obtained using atoms in optical lattices. Motivated by this we develop a nonperturbative scheme for calculating the wave function of the magnetic polaron in a bilayer antiferromagnet using the self-consistent Born approximation. The scheme includes an infinite number of spin waves, which is crucial for an accurate description of the most interesting regime of strong correlations. Utilizing the developed wave function, we explore the spatial structure of the polaron dressing cloud consisting of magnetically frustrated spins surrounding the hole. Mimicking the nonmonotonic behavior of the antiferromagnetic order, we find that the dressing cloud first decreases and then increases in size with increasing interlayer hopping. The increase reflects the decrease in the magnetic order as a quantum phase transition to a disordered state is approached for large interlayer hopping. We, furthermore, find that the symmetry of the ground state dressing cloud changes as the interlayer coupling increases. Our results should be experimentally accessible using quantum simulation with optical lattices.

References in corpus (7)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Competing magnetic orders in a bilayer Hubbard model with ultracold atoms
• Band insulator to Mott insulator transition in a bilayer Hubbard model
• Magnetic and Transport Properties of a Coupled Hubbard Bilayer with Electron and Hole Doping
• Spectral properties of orbital polarons in Mott insulators
• Equilibrium and non-equilibrium dynamics of a hole in a bilayer antiferromagnet
• Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations and Spin-Charge Separation Near an O(3) Quantum Critical Point

Cited by in corpus (5)

• Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Theory of bound magnetic polarons in cubic and uniaxial antiferromagnets
• Exciton interacting with the phonons of an electronic Wigner crystal
• Magnetic polarons due to spin-length fluctuations in ${\mathbf{d}}^4$ spin-orbit Mott systems