From "Weak" to "Strong" Hole Confinement in a Mott Insulator

Abstract

We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is "weakly" confined in a potential well and the magnon coefficients decay exponentially in the absence of a string potential. This behavior is in sharp contrast to the 2D square plane where the hole is "strongly" confined by a string potential and the magnon coefficients decay superexponentially. The latter is identified here to be a fingerprint of the strings in doped antiferromagnets that can be recognized in the numerical or cold atom simulations of the 2D doped Hubbard model. Finally, we attribute the differences between the 1D and 2D cases to the magnon-magnon interactions being crucially important in a 1D spin system.

arXiv commentslightly revised version (following Referee's comments includes correct Fig. 3 and updated discussion of Trugman processes), (re)submission to SciPost

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• Rare collapse of fermionic quasiparticles upon coupling to local bosons
• The fate of the spin polaron in the 1D antiferromagnets
• Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet
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• Exact nonequilibrium hole dynamics, magnetic polarons and string excitations in antiferromagnetic Bethe lattices