Twisted Nodal Superconductors
arXiv:2503.23683 · doi:10.1146/annurev-conmatphys-031524-063257
Abstract
Recent proposals for the realization of time-reversal symmetry breaking and topological superconductivity in twisted nodal superconductors have led to a surge of theoretical and experimental studies of these systems, marking one of the newest entries in the rapidly growing field of moiré materials. The interplay between order parameters of the separate layers makes twisted superconductors unique, leading to additional emergent phenomena in regimes usually not of importance in moiré physics, such as bulk interfaces and large twist angles. We review the physics of twisted nodal superconductors, highlighting both similarities and qualitative differences with other moiré platforms. While inspired by the rise of moiré materials, the field is anchored in studies of unconventional superconductivity preceding the moiré era, which we discuss in detail. In addition to summarizing the developments at the present stage, we present a detailed outlook on the major open questions in the field and some of the most exciting future directions.
arXiv commentsubmitted invited review to Annual Reviews of Condensed Matter Physics
References in corpus (82)
- Van der Waals heterostructures
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Non-Abelian Anyons and Topological Quantum Computation
- Classification of topological insulators and superconductors in three spatial dimensions
- Moire bands in twisted double-layer graphene
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Topological superconductors: a review
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Sensitivity Optimization for NV-Diamond Magnetometry
- Observation of Van Hove singularities in twisted graphene layers
- Graphene Bilayers with a Twist
- Observation of Fractionally Quantized Anomalous Hall Effect
- Quantum anomalous Hall effect from intertwined moiré bands
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Magnetic Penetration Depth in Unconventional Superconductors
- A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
- Dirac Electrons in a Dodecagonal Graphene Quasicrystal
- Chiral Superconductors
- Energy gaps in high-transition temperature cuprate superconductors
- The remarkable underlying ground states of cuprate superconductors
- The spin quantum Hall effect in unconventional superconductors
- Andreev bound states in high- superconducting junctions
- Unconventional Superconductivity
- Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
- Imaging Cooper Pairing of Heavy Fermions in CeCoIn5
- Visualizing Nodal Heavy Fermion Superconductivity in CeCoIn5
- One-band tight-binding model parametrization of the high- cuprates, including the effect of -dispersion
- Monte-Carlo study of the semimetal-insulator phase transition in monolayer graphene with realistic inter-electron interaction potential
- Monolayer FeSe on SrTiO
- Fractional topological superconductors with fractionalized Majorana fermions
- High-temperature topological superconductivity in twisted double layer copper oxides
- The Quantum Twisting Microscope
- Antiferromagnetism from phase disordering of a d-wave superconductor
- Unexpected two-fold symmetric superconductivity in few-layer NbSe
- Probing topological quantum matter with scanning tunnelling microscopy
- Heat transport as a probe of superconducting gap structure
- Sign reversing Hall effect in atomically thin high temperature superconductors
- Monopoles and fractional vortices in chiral superconductors
- High-temperature Josephson diode
- d-like Symmetry of the Order Parameter and Intrinsic Josephson Effects in Bi2212 Cross-Whisker Junctions
- Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram
- Local probe of bulk and edge states in a fractional Chern insulator
- Proximity-induced time-reversal symmetry breaking at Josephson junctions between unconventional superconductors
- The c-axis transport in naturally-grown BiSrCaCuO cross-whisker junctions
- Spatial inhomogeneity and chiral symmetry of the lattice incommensurate supermodulation in high temperature superconductor Bi2Sr2CaCu2O8+y
- High-temperature field-free superconducting diode effect in high-Tc cuprates
- Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
- Interacting Majorana Fermions
- High-temperature Majorana zero modes
- Twisted cuprate van der Waals heterostructures with controlled Josephson coupling
- Superconducting Quantum Interference in Twisted van der Waals Heterostructures
- Twisted van der Waals Josephson junction based on high-Tc superconductor
- Magic angles and correlations in twisted nodal superconductors
- Current- and field-induced topology in twisted nodal superconductors
- Persistent Josephson tunneling between BiSrCaCuO flakes twisted by 45 across the superconducting dome
- Josephson diode effects in twisted nodal superconductors
- Evidence of nodal superconductivity in monolayer 1H-TaS with hidden order fluctuations
- Charge 4e superconductivity and chiral metal in the -twisted bilayer cuprates and similar bilayers
- Inhomogeneity-Induced Time-Reversal Symmetry Breaking in Cuprate Twist-Junctions
- Field induced state and marginal stability of high-Tc superconductors
- Fractional chiral superconductors
- Doping phase diagram of a Hubbard model for twisted bilayer cuprates
- Prominent Josephson tunneling between twisted single copper oxide planes of BiSrLaxCuO
- Spontaneous time-reversal symmetry breaking by disorder in superconductors
- High-temperature Majorana corner modes in a superconductor heterostructure: Application to twisted bilayer cuprate superconductors
- 2D high temperature superconductor integration in contact printed circuit boards
- Chiral -wave superconductivity in a twisted array of proximitized quantum wires
- Josephson effects in twisted nodal superconductors
- Evidence for a finite-momentum Cooper pair in tricolor -wave superconducting superlattices
- Josephson Effect in NbS van der Waals Junctions
- Probing the order parameter symmetry of two-dimensional superconductors by twisted Josephson interferometry
- Doping dependence of chiral superconductivity in near twisted bilayer cuprates
- Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
- Site-selective insulating phase in twisted bilayer Hubbard model
- Tuning topological superconductivity within the -- model of twisted bilayer cuprates
- Tunable Hubbard models in twisted square homobilayers
- Supercurrent-induced Anomalous Thermal Hall Effect as a New Probe to Superconducting Gap Anisotropy
- Exactly Solvable Model of Randomly Coupled Twisted Superconducting Bilayers
- Inducing Topology in Twisted Nodal Superconductors
- Phase sensitive information from a planar Josephson junction
- Supermodulation-driven evolution of the nodal structure of bismuth-based cuprate superconductors