Competing superconducting phases in interacting two-dimensional electron gas with strong Rashba spin-orbit coupling

Abstract

In this work we study interacting electrons on square lattice in the presence of strong Rashba spin-orbit interaction. The spin-orbit term forces the time-reversal electron states to be paired in even Cooper channels. For concreteness, we only consider the repulsive onsite Hubbard and nearest-neighbor coulomb interactions, the so called extended Hubbard model. To examine the superconducting instability we obtain the effective interaction between electrons within the random phase approximation and treat the pairing instabilities driven by charge and spin fluctuations and their combined effects. We mapped out the phase diagram of the model in terms of interactions and electron fillings, and found that while the $d_{xy}$ and $d_{x^2-y^2}$ symmetries are the most likely pairing symmetries driven by charge and spin fluctuations, respectively, the strong effect of both fluctuations yields higher angular momentum Cooper instability. The possibility of topological superconductivity and triplet pairing is also discussed.

arXiv comment11 pages, 6 figures

References in corpus (38)

• A generic new platform for topological quantum computation using semiconductor heterostructures
• A Common Thread: the pairing interaction for the unconventional superconductors
• Tunable Rashba spin-orbit interaction at oxide interfaces
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Highly crystalline 2D superconductors
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Two-dimensional superconductivity at a Mott-Insulator/Band-Insulator interface: LaTiO3/SrTiO3
• CePt3Si: an unconventional superconductor without inversion center
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Superconductivity and Ferromagnetism in Oxide Interface Structures: Possibility of Finite Momentum Pairing
• Topological superconductivity in bilayer Rashba system
• 2D superconductivity with strong spin-orbit interaction
• Two-dimensional superconductivity at the interface of a Bi2Te3/FeTe heterostructure
• Theory of the SrTiO3 Surface State Two-Dimensional Electron Gas
• Topological superconductivity and unconventional pairing in oxide interfaces
• Electrostatic Tuning of the Superconductor-Insulator Transition in Two Dimensions
• Time-Reversal-Symmetry-Breaking Superconductivity in Epitaxial Bismuth/Nickel Bilayers
• Gap structure in noncentrosymmetric superconductors
• Interface high-temperature superconductivity
• Two-band superconductivity in doped SrTiO${}_3$ films and interfaces
• Pairing symmetry of the one-band Hubbard model in the paramagnetic weak-coupling limit: a numerical RPA study
• Screening properties of the two-dimensional electron gas with spin-orbit coupling
• Stable topological phases in a family of two-dimensional fermion models
• On the spin susceptibility of noncentrosymmetric superconductors
• Interface superconductivity in LaAlO${}_3$-SrTiO${}_3$ heterostructures
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Electrically controlled superconducting states at the heterointerface SrTiO${}_3$/LaAlO${}_3$
• Multi-Orbital Superconductivity in SrTiO3 /LaAlO3 Interface and SrTiO3 Surface
• Symmetry and topology of two-dimensional noncentrosymmetric superconductors
• Mechanism for unconventional superconductivity in the hole-doped Rashba-Hubbard model
• Superconducting monolayer deposited on substrate: effects of the spin-orbit coupling induced by proximity effects
• Spin-orbit coupling induced enhancement of superconductivity in a two-dimensional repulsive gas of fermions
• Correlation between Superconductivity, Band Filling and Electron Confinement at the LaAlO${}_3$-SrTiO${}_3$ Interface
• Charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies
• Superconducting pairing symmetry on the extended Hubbard model in the presence of the Rashba-type spin-orbit coupling
• Rashba versus Kohn-Luttinger: Evolution of p-wave superconductivity in magnetized two-dimensional Fermi gas subject to spin-orbit interaction
• p-wave superconductivity in weakly repulsive 2D Hubbard model with Zeeman splitting and weak Rashba spin-orbit coupling

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