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  • Letter

Dynamical signatures of thermal spin-charge deconfinement in the doped Ising model

Lauritz Hahn1,2, Annabelle Bohrdt3,4, and Fabian Grusdt1,2,*

  • 1Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstraße 37, München D-80333, Germany
  • 2Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, D-80799 München, Germany
  • 3ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
  • 4Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

  • *Corresponding author: fabian.grusdt@physik.uni-muenchen.de

Phys. Rev. B 105, L241113 – Published 27 June, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L241113

Abstract

The mechanism underlying charge transport in strongly correlated quantum systems, such as doped antiferromagnetic Mott insulators, remains poorly understood. Here, we study the expansion dynamics of an initially localized hole inside a two-dimensional (2D) Ising antiferromagnet at variable temperature. Using a combination of classical Monte Carlo and truncated-basis methods, we reveal two dynamically distinct regimes: a spin-charge confined region below a critical temperature T*, characterized by slow spreading, and a spin-charge deconfined region above T*, characterized by an unbounded diffusive expansion. The deconfinement temperature T*≈0.65Jz we find is around the Néel temperature TN=0.567Jz of the Ising background in 2D, but we expect T*<TN in higher dimensions. In both regimes we find that the mobile hole does not thermalize with the Ising spin background on the considered time scales, indicating weak effective coupling of spin and charge degrees of freedom. Our results can be qualitatively understood by an effective parton model and can be tested experimentally in state-of-the-art quantum gas microscopes.

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