Z2 parton phases in the mixed-dimensional $t-J_z$ model

Abstract

We study the interplay of spin- and charge degrees of freedom in a doped Ising antiferromagnet, where the motion of charges is restricted to one dimension. The phase diagram of this mixed-dimensional $t-J_z$ model can be understood in terms of spin-less chargons coupled to a Z2 lattice gauge field. The antiferromagnetic couplings give rise to interactions between Z2 electric field lines which, in turn, lead to a robust stripe phase at low temperatures. At higher temperatures, a confined meson-gas phase is found for low doping whereas at higher doping values, a robust deconfined chargon-gas phase is seen which features hidden antiferromagnetic order. We confirm these phases in quantum Monte Carlo simulations. Our model can be implemented and its phases detected with existing technology in ultracold atom experiments. The critical temperature for stripe formation with a sufficiently high hole concentration is around the spin-exchange energy $J_z$, i.e., well within reach of current experiments.

arXiv comment4 pages, 3 figures, 7 pages supplementary

References in corpus (32)

• Probing many-body dynamics on a 51-atom quantum simulator
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• Dynamical crystallization in a low-dimensional Rydberg gas
• Bad metallic transport in a cold atom Fermi-Hubbard system
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• String patterns in the doped Hubbard model
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Classifying Snapshots of the Doped Hubbard Model with Machine Learning
• Confined phases of one-dimensional spinless fermions coupled to $Z_2$ gauge theory
• Reliability of lattice gauge theories
• Direct observation of incommensurate magnetism in Hubbard chains
• Geometry and the Hidden Order of Luttinger Liquids: the Universality of Squeezed Space
• Evidence for composite nature of quasiparticles in the 2D t-J model
• Engineering Local optimality in Quantum Monte Carlo algorithms
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Meson formation in mixed-dimensional t-J models
• Enhanced Superexchange in a Tilted Mott Insulator
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model

Cited by in corpus (20)

• Exploration of doped quantum magnets with ultracold atoms
• Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators
• Gauging the Kitaev chain
• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Formation of stripes in a mixed-dimensional cold-atom Fermi-Hubbard system
• Rotational Resonances and Regge Trajectories in Lightly Doped Antiferromagnets
• Confinement in 1+1D ${\mathbb{Z}}_2$ Lattice Gauge Theories at Finite Temperature
• Quantifying hole-motion-induced frustration in doped antiferromagnets by Hamiltonian reconstruction
• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Particle zoo in a doped spin chain: Correlated states of mesons and magnons
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Confinement and oscillating deconfinement crossover of two-magnon excitations in quantum spin chains quantified by spin entanglement entropy
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Phase Diagram of Mixed-Dimensional Anisotropic t-J-Models
• Quantum colored strings in the hole-doped $t$-$J_z$ model
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
• Dopant pairing in a disordered magnetic spin ladder
• Meson dynamics from locally exciting a particle-conserving $Z_2$ lattice gauge theory
• Localized dopant motion across the 2D Ising phase transition