Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model

Abstract

The two-dimensional (2D) Hubbard model is widely believed to capture key ingredients of high-$T_c$ superconductivity in cuprate materials. However, compelling evidence remains elusive. In particular, various magnetic orders may emerge as strong competitors of superconducting orders. Here, we study the ground state properties of the doped 2D $t$-$t^{\prime }$ Hubbard model on a square lattice via the infinite Projected Entangled-Pair State (iPEPS) method with $\mathrm{U}(1)$ or $\mathrm{SU}(2)$ spin symmetry. The former is compatible with antiferromagnetic orders, while the latter forbids them. Therefore, we obtain by comparison a detailed understanding of the magnetic impact on superconductivity. Moreover, an additional $t^{\prime }$ term accommodates the particle-hole asymmetry, which facilitates studies on the discrepancies between electron- and hole-doped systems. We demonstrate that (i) a positive $t^{\prime }/t$ significantly amplifies the strength of superconducting orders; (ii) at sufficiently large doping levels, the $t$-$t^{\prime }$ Hubbard model favors a uniform state with superconducting orders instead of stripe states with charge and spin modulations; and (iii) the enhancement of magnetic frustration, by increasing either the strength of NNN interactions or the charge doping, impairs stripe orders and helps stabilize superconductivity.

14 pages, 13 figures

References in corpus (29)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Magnetic neutron scattering in hole doped cuprate superconductors
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Energetics of superconductivity in the two dimensional Hubbard model
• Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram
• Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: a variational study
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Effective Hamiltonian for cuprate superconductors derived from multi-scale ab initio scheme with level renormalization
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
• Thermal Tensor Renormalization Group Simulations of Square-Lattice Quantum Spin Models
• Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
• Pairing Properties of the $t$-$t^{\prime }$-$t^{\prime \prime }$-$J$ model
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature

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