Magic angles and correlations in twisted nodal superconductors

Abstract

Motivated by recent advances in the fabrication of twisted bilayers of 2D materials, we consider the low-energy properties of a twisted pair of two-dimensional nodal superconductors. We study both the cases of singlet and triplet superconductors. It is demonstrated that the Bogoliubov-de Gennes (BdG) quasiparticle dispersion undergoes dramatic reconstruction due to the twist. In particular, the velocity of the neutral massless Dirac excitations near the gap nodes is strongly renormalized by the interlayer hopping and vanishes at a ``magic angle'' where in the limit of a circular Fermi surface a quadratic band touching is formed. In addition, it is shown that the BdG disperion can be tuned with an interlayer displacement field, magnetic field, and current, which can suppress the velocity renormalization, create finite BdG Fermi surfaces, or open a gap, respectively. Finally, interactions between quasiparticles are shown to lead to the emergence of a correlated superconducting state breaking time-reversal symmetry in the vicinity of the magic angle. Estimates of the magic angle in a variety of nodal superconductors are presented, ranging from the cuprates to the organic and heavy fermion superconductors, all of which are shown to be promising for the experimental realization of our proposal.

Discussion of topological states mostly moved to arXiv:2212.02389. Magic angle estimates updated

References in corpus (24)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Classification of topological insulators and superconductors in three spatial dimensions
• Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
• Resonantly hybridised excitons in moiré superlattices in van der Waals heterostructures
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Phase competition in trisected superconducting dome
• A new magnetic field dependence of Landau levels on a graphene like structure
• Unconventional Superconductivity
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Monolayer FeSe on SrTiO${}_3$
• High-temperature topological superconductivity in twisted double layer copper oxides
• Discovery of segmented Fermi surface induced by Cooper pair momentum
• Evolution from a nodeless gap to d(x2-y2) form in underdoped La(2-x)SrxCuO4
• Josephson effects in twisted cuprate bilayers
• A moiré superlattice on the surface of a topological insulator
• Direct Evidence for a Magnetic f-electron Mediated Cooper Pairing Mechanism of Heavy Fermion Superconductivity in CeCoIn5
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• Encapsulating high-temperature superconducting twisted van der Waals heterostructures blocks detrimental effects of disorder
• Twisted van der Waals Josephson junction based on high-Tc superconductor
• Current- and field-induced topology in twisted nodal superconductors
• Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires
• Incoherent tunneling and topological superconductivity in twisted cuprate bilayers

Cited by in corpus (24)

• Flat bands, strange metals, and the Kondo effect
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Current- and field-induced topology in twisted nodal superconductors
• Josephson diode effects in twisted nodal superconductors
• Inhomogeneity-Induced Time-Reversal Symmetry Breaking in Cuprate Twist-Junctions
• High-order Van Hove singularities and their connection to flat bands
• Andreev Reflection in Scanning Tunneling Spectroscopy of Unconventional Superconductors
• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
• Twisted-bilayer FeSe and the Fe-based superlattices
• 2D high temperature superconductor integration in contact printed circuit boards
• Josephson effects in twisted nodal superconductors
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Cuprate Twistronics for Quantum Hardware
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Emergent spin and orbital angular momentum of light in twisted photonic bilayer
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• Supercurrent-induced Anomalous Thermal Hall Effect as a New Probe to Superconducting Gap Anisotropy
• A critical nematic phase with pseudogap-like behavior in twisted bilayers
• Twisted Nodal Superconductors
• Topological phases in twisted Rashba superconductors
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Angular momentum of vortex-core Majorana zero modes
• Supermodulation-driven evolution of the nodal structure of bismuth-based cuprate superconductors