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  • Letter
  • Open Access

Robust stripes in the mixed-dimensional t−J model

Henning Schlömer1,2, Annabelle Bohrdt3,4, Lode Pollet1,2, Ulrich Schollwöck1,2, and Fabian Grusdt1,2

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

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Phys. Rev. Research 5, L022027 – Published 10 May, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022027

Abstract

Microscopically understanding competing orders in strongly correlated systems is a key challenge in modern quantum many-body physics. For example, the origin of stripe order and its relation to pairing in the Fermi-Hubbard model remains one of the central questions, and may help to understand the origin of high-temperature superconductivity in cuprates. Here, we analyze stripe formation in the doped mixed-dimensional (mixD) variant of the t−J model, where charge carriers are restricted to move only in one direction, whereas magnetic SU(2) interactions are two-dimensional. Using the density matrix renormalization group at finite temperature, we find a stable vertical stripe phase in the absence of pairing, featuring incommensurate magnetic order and long-range charge density wave profiles over a wide range of dopings. We find high critical temperatures on the order of the magnetic coupling ∼J/2, hence being within reach of current quantum simulators. Snapshots of the many-body state, accessible to quantum simulators, reveal hidden spin correlations in the mixD setting, whereby antiferromagnetic correlations are enhanced when considering purely the magnetic background. The proposed model can be viewed as realizing a parent Hamiltonian of the stripe phase, whose hidden spin correlations lead to the predicted resilience against quantum and thermal fluctuations.

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Phys. Rev. Research 5, L022027– Published 10 May, 2023
  • Received 23 August 2022
  • Accepted 17 February 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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