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Understanding repulsively mediated superconductivity of correlated electrons via massively parallel density matrix renormalization group
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. (Theory Group Adrian Kantian)ORCID iD: 0000-0002-8439-3539
Swiss Fed Inst Technol, Theoret Phys, CH-8093 Zurich, Switzerland; IBM Res, CH-8803 Zurich, Switzerland.
Swiss Fed Inst Technol, Theoret Phys, CH-8093 Zurich, Switzerland.
Univ Geneva, DQMP, 24 Quai Ernest Ansermet, CH-1211 Geneva, Switzerland.
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 100, no 7, article id 075138Article in journal (Refereed) Published
Abstract [en]

The so-called minimal models of unconventional superconductivity are lattice models of interacting electrons derived from materials in which electron pairing arises from purely repulsive interactions. Showing unambiguously that a minimal model actually can have a superconducting ground state remains a challenge at nonperturbative interactions. We make a significant step in this direction by computing ground states of the 2D U-V Hubbard model—the minimal model of the quasi-1D superconductors—by parallelized DMRG, which allows for systematic control of any bias and that is sign-problem-free. Using distributed-memory supercomputers and leveraging the advantages of the U-V model, we can treat unprecedented sizes of 2D strips and extrapolate their spin gap both to zero approximation error and the thermodynamic limit. Our results for the spin gap are shown to be compatible with a spin excitation spectrum that is either fully gapped or has zeros only in discrete points, and conversely that a Fermi liquid or magnetically ordered ground state is incompatible with them. Coupled with the enhancement to short-range correlations that we find exclusively in the dxy pairing channel, this allows us to build an indirect case for the ground state of this model having superconducting order in the full 2D limit, and ruling out the other main possible phases, magnetic orders, and Fermi liquids.

Place, publisher, year, edition, pages
2019. Vol. 100, no 7, article id 075138
National Category
Condensed Matter Physics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-392779DOI: 10.1103/PhysRevB.100.075138ISI: 000481609900002OAI: oai:DiVA.org:uu-392779DiVA, id: diva2:1349693
Funder
EU, Horizon 2020, 758935Available from: 2019-09-09 Created: 2019-09-09 Last updated: 2019-09-30Bibliographically approved

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