A Fidelity Study of the Superconducting Phase Diagram in the 2D Single-band Hubbard Model

Abstract

Extensive numerical studies have demonstrated that the two-dimensional single-band Hubbard model contains much of the key physics in cuprate high-temperature superconductors. However, there is no definitive proof that the Hubbard model truly possesses a superconducting ground state or, if it does, of how it depends on model parameters. To answer these longstanding questions, we study an extension of the Hubbard model including an infinite-range d-wave pair field term, which precipitates a superconducting state in the d-wave channel. Using exact diagonalization on 16-site square clusters, we study the evolution of the ground state as a function of the strength of the pairing term. This is achieved by monitoring the fidelity metric of the ground state, as well as determining the ratio between the two largest eigenvalues of the d-wave pair/spin/charge-density matrices. The calculations show a d-wave superconducting ground state in doped clusters bracketed by a strong antiferromagnetic state at half filling controlled by the Coulomb repulsion U and a weak short-range checkerboard charge ordered state at larger hole doping controlled by the next-nearest-neighbor hopping t'. We also demonstrate that negative t' plays an important role in facilitating d-wave superconductivity.

10 pages, 13 figures

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• Effects of Strong Correlations and Disorder in d-Wave Superconductors

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• Fidelity Study of Superconductivity in Extended Hubbard Models
• Bilayer Hubbard model: Analysis based on the fermionic sign problem
• Mott-insulator-to-superconductor transition in a two-dimensional superlattice
• Site-wise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
• Fidelity and entanglement entropy for infinite-order phase transitions
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Charge excitations across a superconductor-insulator transition
• Repulsive Fermions in Optical Lattices: Phase separation versus Coexistence of Antiferromagnetism and d-Superfluidity
• Order by projection in single-band Hubbard model: a DMRG study
• Ginzburg-Landau Like Theory for High Temperature Superconductivity in the Cuprates: Emergent d-wave Order