Superconductivity in the two-dimensional $t$-$t^{\prime }$-Hubbard model

Abstract

Using a recently developed renormalization group method for fermionic superfluids, we determine conditions for d-wave superconductivity in the two-dimensional Hubbard model at moderate interaction strength, and we compute the pairing gap in the superconducting regime. A pairing instability signaled by a divergent flow in the Cooper channel leads to a superconducting state in all studied cases. The next-to-nearest neighbor hopping $t^{\prime }$ plays a crucial role in the competition between antiferromagnetism and superconductivity. A sizable $t^{\prime }$ is necessary to obtain a sizable pairing gap.

6 pages, 2 figures

References in corpus (21)

• Exact evolution equation for the effective potential
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Does Simple Two-Dimensional Hubbard Model Account for High-Tc Superconductivity in Copper Oxides?
• A finite-frequency functional RG approach to the single impurity Anderson model
• Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Instabilities near the onset of spin density wave order in metals
• Self-energy flows in the two-dimensional repulsive Hubbard model
• Incommensurate nematic fluctuations in the two-dimensional Hubbard model
• Renormalization group flow for fermionic superfluids at zero temperature
• Superconductivity in the attractive Hubbard model: functional renormalization group analysis
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Effective interactions and fluctuation effects in spin-singlet superfluids
• Enhanced pair-correlation functions in the two-dimensional Hubbard model
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• Parametrization of Nambu vertex in a singlet superconductor
• Low energy singularities in the ground state of fermionic superfluids

Cited by in corpus (58)

• The nonperturbative functional renormalization group and its applications
• The Hubbard model: A computational perspective
• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• High-frequency asymptotics of the vertex function: diagrammatic parametrization and algorithmic implementation
• High-performance functional renormalization group calculations for interacting fermions
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Multiloop functional renormalization group for general models
• Antiferromagnetic and d-wave pairing correlations in the strongly interacting two-dimensional Hubbard model from the functional renormalization group
• Coexistence of incommensurate magnetism and superconductivity in the two-dimensional Hubbard model
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Competing order in correlated electron systems made simple: Consistent fusion of functional renormalization and mean-field theory
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• Non-separable frequency dependence of two-particle vertex in interacting fermion systems
• Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions
• Pairing in the Two-Dimensional Hubbard Model from Weak to Strong Coupling
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model
• Phase structure of spin-imbalanced unitary Fermi gases
• Pseudo-fermion functional renormalization group for spin models
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Dynamical functional renormalization group computation of order parameters and critical temperatures in the two-dimensional Hubbard model
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Two-particle irreducible functional renormalization group schemes---a comparative study
• Rashba spin-orbit coupling in the square lattice Hubbard model: A truncated-unity functional renormalization group study
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• Self-energy effects in functional renormalization group flows of the two-dimensional $t$-$t^{\prime }$ Hubbard model away from van Hove filling
• Ground state phase diagram of the half-filled bilayer Hubbard model
• Thermodynamics of the two-dimensional XY model from functional renormalization
• Ground state phase diagram of the repulsive fermionic $t-t^{\prime }$ Hubbard model on the square lattice from weak-coupling
• Detecting phases in one-dimensional many-fermion systems with the functional renormalization group
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• Truncated unity functional renormalization group for multiband systems with spin-orbit coupling
• Group theory of Wannier functions providing the basis for a deeper understanding of magnetism and superconductivity
• Superconducting phase diagram of itinerant antiferromagnets
• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
• Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• Effect of exchange interaction on electronic instabilities in the honeycomb lattice: A functional renormalization group study
• Patterned bilayer graphene as a tunable, strongly correlated system
• Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction
• Holographic unitary renormalization group for correlated electrons -- II: insights on fermionic criticality
• Suppression of superconductivity by spin fluctuations in iron-based superconductors
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Superconductivity from repulsion: Variational results for the 2D Hubbard model in the limit of weak interaction
• Response Theory of the Electron-Phonon Coupling
• Highly tunable 2D silicon quantum dot array with coupling beyond nearest neighbors
• Spin-fluctuation glue disfavors high-critical temperature of superconductivity?
• Consistent combination of truncated-unity functional renormalization group and mean-field theory
• Quasi-particle functional Renormalisation Group calculations in the two-dimensional t-t'-Hubbard model
• A functional renormalization group approach to electronic structure calculations for systems without translational symmetry
• Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases
• Quantum science with arrays of metastable helium-3 atoms
• Order by projection in single-band Hubbard model: a DMRG study
• Frequency Dependent Functional Renormalization Group for Interacting Fermionic Systems
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
• Beyond on-site Hubbard interaction in charge dynamics of cuprate superconductors
• Median-point approximation and its application for the study of fermionic systems