Coupled Hubbard ladders at weak coupling: Pairing and spin excitations

Maier, Thomas; Dagotto, Elbio R.

doi:10.1103/PhysRevB.105.054512

Title: Coupled Hubbard ladders at weak coupling: Pairing and spin excitations

Journal Article · 14 February 2022 · Physical Review. B

DOI: https://doi.org/10.1103/PhysRevB.105.054512 · OSTI ID:1845772

^[1]; Dagotto, Elbio R. ^[2]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes affect the mechanisms giving rise to them. Here we use a weak-coupling random phase approximation to study a two-dimensional Hubbard model with a unidirectional modulation of the hopping amplitudes as the system evolves from the uniform square lattice to an array of weakly coupled two-leg ladders. We find that the pairing correlations retain their dominant d_{_x²-_y^2-} wavelike structure and that they are significantly enhanced for a slightly modulated lattice. This enhancement is traced backed to an increase in the strength of the spin-fluctuation pairing interaction due to favorable Fermi surface nesting in the modulated system. We then use a random-phase approximation BCS framework to examine the evolution of the neutron resonance in the superconducting state. We find that it changes only weakly for moderate modulations, but breaks up into two distinct resonances at incommensurate wave vectors in the limit of weakly coupled ladders.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1845772

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 5 Vol. 105; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Coupled Hubbard ladders at weak coupling: Pairing and spin excitations

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