Topological pair density waves in kagome superconductors

Abstract

The pair density wave (PDW) is an unconventional superconducting state exhibiting periodic pairing modulations due to pairing with finite momentum Q. In two dimensions, multiple Q components of the PDW can have a non-trivial relative phase, breaking time-reversal symmetry and resulting in a topological electronic structure. Here we review progress on exploring such topological PDWs (TPDWs) and discuss their potential realization in kagome superconductors. We first introduce the concept of a TPDW starting from the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state and examine the challenges toward its realization. We then discuss the possibility of a TPDW in the kagome lattice, which intertwines with chiral superconductivity and loop currents, thus connecting to models describing the quantum anomalous Hall effect. Furthermore, we review the experimental signatures of a TPDW in AV3Sb5 (A = Cs, Rb, K) superconductors and highlight related quantum effects, including switchable chiral pairing modulations, Bogoliubov Fermi states, the superconducting diode effect, and the anomalous thermal Hall effect. Finally, we project the future research opportunities of this correlated topological quantum phase and discuss its broad implications for finite-momentum pairing, topological matter, and chiral superconductivity.

References in corpus (95)

• Topological Insulators
• Hidden Order in the Cuprates
• Theory of Intertwined Orders in High Temperature Superconductors
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Massive Dirac fermions in a ferromagnetic kagome metal
• Magnetic Weyl Semimetal Phase in a Kagome Crystal
• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Topological kagome magnets and superconductors
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Time-reversal symmetry-breaking charge order in a kagome superconductor
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Competing electronic orders on Kagome lattices at van Hove filling
• The Physics of Pair Density Waves
• Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Analysis of Charge Order in the Kagome Metal $A$V${}_3$Sb${}_5$ ($A=$K,Rb,Cs)
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Correlation-driven chiral superconductivity and chiral spin order in doped kagome lattice
• Sublattice Interference in the Kagome Hubbard Model
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in kagome metals ${\text{AV}}_3{\text{Sb}}_5$
• Multiband superconductivity with sign-preserving order parameter in kagome superconductor CsV3Sb5
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5
• Quantum states and intertwining phases in kagome materials
• Intrinsic nature of chiral charge order in the kagome superconductor RbV3Sb5
• Theory of the striped superconductor
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Nodeless electron pairing in CsV${}_3$Sb${}_5$-derived kagome superconductors
• Discovery of a Cooper-Pair Density Wave State in a Transition-Metal Dichalcogenide
• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Detection of a Pair Density Wave State in UTe${}_2$
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Discovery of charge order and corresponding edge state in kagome magnet FeGe
• Superconducting diode effect and interference patterns in Kagome CsV3Sb5
• Loop currents in $A$V${}_3$Sb${}_5$ kagome metals: multipolar and toroidal magnetic orders
• High Resolution Polar Kerr Effect Studies of CsV${}_3$Sb${}_5$: Tests for Time Reversal Symmetry Breaking Below the Charge Order Transition
• Discovery of a pair density wave state in a monolayer high-Tc iron-based superconductor
• Chiral kagome superconductivity modulations with residual Fermi arcs in KV3Sb5 and CsV3Sb5
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Interaction-Driven Spontaneous Quantum Hall Effect on Kagome Lattice
• Smectic Pair Density Wave Order in EuRbFe4As4
• Correlated order at the tipping point in the kagome metal CsV${}_3$Sb${}_5$
• Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors
• Charge-loop current order and Z3 nematicity mediated by bond-order fluctuations in kagome metal AV3Sb5 (A=Cs,Rb,K)
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
• Fulde-Ferrell-Larkin-Ovchinnikov state in disordered s-wave superconductors
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Unconventional Optical Rotation in the Charge Ordered State of Kagome Metal CsV3Sb5
• Mapping the Electronic Structure of Each Ingredient Oxide Layer of High-$T_{\text{c}}$ Cuprate Superconductor Bi2Sr2CaCu2O8+δ
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• Evidence chain for time-reversal symmetry-breaking kagome superconductivity
• Unconventional superconductivity protected from disorder on the kagome lattice
• Evidence of a two-component order parameter in 4Hb-TaS2 in the Little-Parks effect
• Topological Pair-Density-Wave Superconducting States
• Unconventional gapping behavior in a kagome superconductor
• Distinct switching of chiral transport in the kagome metals KV${}_3$Sb${}_5$ and CsV${}_3$Sb${}_5$
• Nematic Ising superconductivity with hidden magnetism in few-layer 6R-TaS2
• Probing orbital magnetism of a kagome metal CsV3Sb5 by a tuning fork resonator
• Kagome metals
• Chiral pair density waves with residual Fermi arcs in RbV3Sb5
• Topological Larkin-Ovchinnikov phase and Majorana zero mode chain in bilayer superconducting topological insulator films
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Search for orbital magnetism in the kagome superconductor $\mathrm{Cs}{\mathrm{V}}_3\mathrm{S}{\mathrm{b}}_5$ using neutron diffraction
• Existence of Hebel-Slichter peak in unconventional kagome superconductors
• Theory of charge-6e condensed phase in Kagome lattice superconductors
• Majorana fermion arcs and the local density of states of UTe${}_2$
• Revealing the orbital origins of exotic electronic states with Ti substitution in kagome superconductor CsV3Sb5
• Pair-breaking scattering interference as a mechanism for superconducting gap modulation
• Observation of Fermi-surface-dependent anisotropic Cooper pairing in kagome superconductor CsV3Sb5
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Broken symmetries associated with a Kagome chiral charge order
• Interplay of superconductivity and charge-density-wave order in kagome materials
• Loop Current Order on the Kagome Lattice
• Imaging half-unit-cell Cooper-pair density waves in monolayer 1T${}^{\prime }$-MoTe${}_2$
• Impact of tiny Fermi pockets with extremely high mobility on the Hall anomaly in the kagome metal CsV${}_3$Sb${}_5$
• Superconducting gap modulations: are they from pair density waves or pair-breaking scattering?
• Constraints on the orbital flux phase in $A$V${}_3$Sb${}_5$ from polar Kerr effect
• Origin of switchable quasiparticle-interference chirality in loop-current phase of kagome metals measured by scanning-tunneling-microscopy
• Superconductivity in kagome metals due to soft loop-current fluctuations
• Nonreciprocal superconducting critical currents with normal state field trainability in kagome superconductor CsV3Sb5
• Magnetic field-induced momentum-dependent symmetry breaking in a kagome superconductor
• Nematic and chiral superconductivity emerging within the loop-current phase in kagome metals