Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap

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Main Authors: Chalopin, Thomas, Bojović, Petar, Wang, Si, Franz, Titus, Sinha, Aritra, Wang, Zhenjiu, Bourgund, Dominik, Obermeyer, Johannes, Grusdt, Fabian, Bohrdt, Annabelle, Pollet, Lode, Wietek, Alexander, Georges, Antoine, Hilker, Timon, Bloch, Immanuel
Format: Preprint
Published: 2024
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author Chalopin, Thomas
Bojović, Petar
Wang, Si
Franz, Titus
Sinha, Aritra
Wang, Zhenjiu
Bourgund, Dominik
Obermeyer, Johannes
Grusdt, Fabian
Bohrdt, Annabelle
Pollet, Lode
Wietek, Alexander
Georges, Antoine
Hilker, Timon
Bloch, Immanuel
author_facet Chalopin, Thomas
Bojović, Petar
Wang, Si
Franz, Titus
Sinha, Aritra
Wang, Zhenjiu
Bourgund, Dominik
Obermeyer, Johannes
Grusdt, Fabian
Bohrdt, Annabelle
Pollet, Lode
Wietek, Alexander
Georges, Antoine
Hilker, Timon
Bloch, Immanuel
contents In strongly correlated materials, interacting electrons are entangled and form collective quantum states, resulting in rich low-temperature phase diagrams. Notable examples include cuprate superconductors, in which superconductivity emerges at low doping out of an unusual "pseudogap" metallic state above the critical temperature. The Fermi-Hubbard model, describing a wide range of phenomena associated with strong electron correlations, still offers major computational challenges despite its simple formulation. In this context, ultracold atoms quantum simulators have provided invaluable insights into the microscopic nature of correlated quantum states. Here, we use a quantum gas microscope Fermi-Hubbard simulator to explore a wide range of dopings and temperatures in a regime where a pseudogap is known to develop. By measuring multi-point correlation functions up to fifth order, we uncover a novel universal scaling behaviour in magnetic and higher-order spin-charge correlations characterised by a doping-dependent temperature scale. Accurate comparisons with determinant Quantum Monte Carlo and Minimally Entangled Typical Thermal States simulations confirm that this temperature scale is comparable to the pseudogap temperature T*. Our quantitative findings reveal a novel qualitative behaviour of magnetic properties and spin-charge correlations in an emergent pseudogap and pave the way towards the exploration of charge pairing and collective phenomena expected at lower temperatures.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17801
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
Chalopin, Thomas
Bojović, Petar
Wang, Si
Franz, Titus
Sinha, Aritra
Wang, Zhenjiu
Bourgund, Dominik
Obermeyer, Johannes
Grusdt, Fabian
Bohrdt, Annabelle
Pollet, Lode
Wietek, Alexander
Georges, Antoine
Hilker, Timon
Bloch, Immanuel
Strongly Correlated Electrons
Quantum Gases
Quantum Physics
In strongly correlated materials, interacting electrons are entangled and form collective quantum states, resulting in rich low-temperature phase diagrams. Notable examples include cuprate superconductors, in which superconductivity emerges at low doping out of an unusual "pseudogap" metallic state above the critical temperature. The Fermi-Hubbard model, describing a wide range of phenomena associated with strong electron correlations, still offers major computational challenges despite its simple formulation. In this context, ultracold atoms quantum simulators have provided invaluable insights into the microscopic nature of correlated quantum states. Here, we use a quantum gas microscope Fermi-Hubbard simulator to explore a wide range of dopings and temperatures in a regime where a pseudogap is known to develop. By measuring multi-point correlation functions up to fifth order, we uncover a novel universal scaling behaviour in magnetic and higher-order spin-charge correlations characterised by a doping-dependent temperature scale. Accurate comparisons with determinant Quantum Monte Carlo and Minimally Entangled Typical Thermal States simulations confirm that this temperature scale is comparable to the pseudogap temperature T*. Our quantitative findings reveal a novel qualitative behaviour of magnetic properties and spin-charge correlations in an emergent pseudogap and pave the way towards the exploration of charge pairing and collective phenomena expected at lower temperatures.
title Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
topic Strongly Correlated Electrons
Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2412.17801