Ground state phase diagram of the doped Hubbard model on the four-leg cylinder

Jiang, Yi-Fan; Zaanen, Jan; Devereaux, Thomas P.; Jiang, Hong-Chen

doi:10.1103/PhysRevResearch.2.033073

Title: Ground state phase diagram of the doped Hubbard model on the four-leg cylinder

Journal Article · Wed Jul 15 00:00:00 EDT 2020 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.2.033073· OSTI ID:1638557

; Zaanen, Jan; Devereaux, Thomas P.; Jiang, Hong-Chen

We study the ground state properties of the Hubbard model on a four-leg cylinder with doped hole concentration per site δ ≤ 12.5% using density-matrix renormalization group. By keeping a large number of states for long system sizes, we find that the nature of the ground state is remarkably sensitive to the presence of next-nearest-neighbor hopping t'. Without t' the ground state of the system corresponds to the insulating filled stripe phase with long-range charge-density-wave (CDW) order, and short-range incommensurate spin correlations appears. However, for a small negative t' a phase characterized by coexisting algebraic d-wave superconducting (SC) and algebraic CDW correlations. In addition, it shows short-range spin- and fermion correlations consistent with a canonical Luther-Emery (LE) liquid, except that the charge and spin periodicities are consistent with half-filled stripes instead of the 4k_F and 2k_F wave vectors that are generic for one-dimensional chains. For a small positive t' yet another phase takes over, showing similar SC and CDW correlations. However, the fermions are now characterized by a (nearly) infinite correlation length while the gapped spin system is characterized by simple staggered antiferromagnetic correlations. We will show that this is consistent with a LE liquid formed from a weakly coupled (BCS like) d-wave superconductor on the ladder where the interactions have only the effect of stabilizing a cuprate style magnetic resonance.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1638557

Alternate ID(s):: OSTI ID: 1639102

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Vol. 2 Journal Issue: 3; ISSN 2643-1564

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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