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Z_{2} Parton Phases in the Mixed-Dimensional t-J_{z} Model.

Fabian Grusdt1,2, Lode Pollet1,2,3

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We explored spin-charge interactions in a doped Ising antiferromagnet, revealing a robust stripe phase at low temperatures. Higher temperatures show distinct confined and deconfined phases, confirmed by simulations and applicable to ultracold atom experiments.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Strongly Correlated Systems

Background:

  • Investigating the interplay of spin and charge degrees of freedom is crucial for understanding complex materials.
  • Doped Ising antiferromagnets with restricted charge motion present a unique platform for studying emergent phenomena.

Purpose of the Study:

  • To analyze the phase diagram of a mixed-dimensional t-Jz model, focusing on the behavior of spinless chargons coupled to a Z2 lattice gauge field.
  • To understand the emergence of phases like stripe, confined meson-gas, and deconfined chargon-gas phases.
  • To explore the feasibility of experimental realization and detection in ultracold atom systems.

Main Methods:

  • Theoretical modeling of a mixed-dimensional t-Jz model.
  • Analysis of spinless chargons interacting with a Z2 lattice gauge field.
  • Validation through quantum Monte Carlo simulations.

Main Results:

  • A robust stripe phase is identified at low temperatures due to interactions between Z2 electric field lines.
  • At higher temperatures, a confined meson-gas phase appears at low doping, and a deconfined chargon-gas phase with hidden antiferromagnetic order emerges at higher doping.
  • The critical temperature for stripe formation is comparable to the spin-exchange energy Jz, indicating experimental accessibility.

Conclusions:

  • The phase diagram is well-described by spinless chargons coupled to a Z2 lattice gauge field.
  • The model exhibits distinct phases (stripe, confined, deconfined) that are experimentally verifiable.
  • Ultracold atom experiments can implement this model and detect its predicted phases with current technology.