Formation of stripes in a mixed-dimensional cold-atom Fermi-Hubbard system

Abstract

The relation between d-wave superconductivity and stripes is fundamental to the understanding of ordered phases in cuprates. While experimentally both phases are found in close proximity, numerical studies on the related Fermi-Hubbard model have long been investigating whether stripes precede, compete or coexist with superconductivity. Such stripes are characterised by interleaved charge and spin density wave ordering where fluctuating lines of dopants separate domains of opposite antiferromagnetic order. Here we show first signatures of stripes in a cold-atom Fermi-Hubbard quantum simulator. By engineering a mixed-dimensional system, we increase their typical energy scales to the spin exchange energy, enabling us to access the interesting crossover temperature regime where stripes begin to form. We observe extended, attractive correlations between hole dopants and find an increased probability to form larger structures akin to stripes. In the spin sector, we study correlation functions up to third order and find results consistent with stripe formation. These higher-order correlation measurements pave the way towards an improved microscopic understanding of the emergent properties of stripes and their relation to other competing phases. More generally, our approach has direct relevance for newly discovered high-temperature superconducting materials in which mixed dimensions play an essential role.

16 pages, 21 figures

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• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Optical lattice quantum simulator of dynamics beyond Born-Oppenheimer
• Artificial intelligence for representing and characterizing quantum systems
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• Quantum science with arrays of metastable helium-3 atoms
• Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe
• Measuring entanglement without local addressing in quantum many-body simulators via spiral quantum state tomography
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$
• Magnetization-induced reordering of ground states phase diagram in a two-component Bose-Hubbard model