Doped Kagome System as Exotic Superconductor

Abstract

A Chern--Simons theory for the doped spin-1/2 kagomé system is constructed, from which it is shown that the system is an exotic superconductor that breaks time-reversal symmetry. It is also shown that the system carries minimal vortices of flux $hc/4e$ (as opposed to the usual $hc/2e$ in conventional superconductors) and contains fractional quasiparticles (including fermionic quasiparticles with \emph{semionic} mutual statistics and spin-1/2 quasiparticles with \emph{bosonic} self-statistics) in addition to the usual spin-1/2 fermionic Bougoliubov quasiparticle. Two Chern--Simons theories--one with an auxiliary gauge field kept and one with the auxiliary field and a redundant matter field directly eliminated--are presented and shown to be consistent with each other.

13 pages, 7 figures and 1 table; Extensive revision and expansion, including a new section on classifying the quasiparticles and a new section on an alternative Chern--Simons Lagrangian

References in corpus (12)

• Topological orders and Edge excitations in FQH states
• Quantum Orders and Symmetric Spin Liquids
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Properties of an algebraic spin liquid on the kagome lattice
• Dirac, Anderson, and Goldstone on the Kagome
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• Spontaneous spin ordering of Dirac spin liquid in a magnetic field
• Pairing via Index theorem

Cited by in corpus (106)

• Quantum Spin Liquid States
• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Topological kagome magnets and superconductors
• Charge density waves and electronic properties of superconducting kagome metals
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• Double superconducting dome and triple enhancement of Tc in the kagome superconductor CsV3Sb5 under high pressure
• Three-dimensional charge density wave and robust zero-bias conductance peak inside the superconducting vortex core of a kagome superconductor CsV${}_3$Sb${}_5$
• Complete classification of 1D gapped quantum phases in interacting spin systems
• Superconductivity and normal-state properties of kagome metal RbV3Sb5 single crystals
• Electronic Nature of Charge Density Wave and Electron-Phonon Coupling in Kagome Superconductor KV${}_3$Sb${}_5$
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Fermi surface mapping and the nature of charge density wave order in the kagome superconductor CsV${}_3$Sb${}_5$
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Multiband superconductivity with sign-preserving order parameter in kagome superconductor CsV3Sb5
• Twofold symmetry of $c$-axis resistivity in topological kagome superconductor CsV${}_3$Sb${}_5$ with in-plane rotating magnetic field
• Charge density wave in kagome lattice intermetallic ScV6Sn6
• s-wave superconductivity in kagome metal CsV${}_3$Sb${}_5$ revealed by ${}^{121/123}$Sb NQR and ${}^{51}$V NMR measurements
• Nodeless superconductivity in the kagome metal CsV${}_3$Sb${}_5$
• Origin of the Charge Density Wave in the Kagome Metal CsV${}_3$Sb${}_5$ as Revealed by Optical Spectroscopy
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Multiple Energy Scales and Anisotropic Energy Gap in the Charge-Density-Wave Phase of Kagome Superconductor CsV3Sb5
• Emergence of new van Hove singularities in the charge density wave state of a topological kagome metal RbV3Sb5
• Fermi level tuning and double-dome superconductivity in the kagome metals CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Coherent phonon spectroscopy and interlayer modulation of charge density wave order in the kagome metal CsV${}_3$Sb${}_5$
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Competition of superconductivity and charge density wave in selective oxidized CsV3Sb5 thin flakes
• Study of the electronic properties of topological kagome metals YV${}_6$Sn${}_6$ and GdV${}_6$Sn${}_6$
• Charge density wave orders and enhanced superconductivity under pressure in the kagome metal CsV3Sb5
• Superconducting diode effect and interference patterns in Kagome CsV3Sb5
• Superconductivity emerging from density-wave-like order in a correlated kagome metal
• Competition between charge-density-wave and superconductivity in the kagome metal RbV3Sb5
• Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Coexistence of Tri-Hexagonal and Star-of-David Pattern in the Charge Density Wave of the Kagome Superconductor AV${}_3$Sb${}_5$
• Double-dome superconductivity under pressure in the V-based Kagome metals AV3Sb5 (A = Rb and K)
• A unique van Hove singularity in kagome superconductor CsV${}_{3-x}$Ta${}_x$Sb${}_5$ with enhanced superconductivity
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• No observation of chiral flux current in the topological kagome metal CsV${}_3$Sb${}_5$
• Tuning the van Hove singularities in AV${}_3$Sb${}_5$ (A = K, Rb, Cs) via pressure and doping
• Competing superconductivity and charge-density wave in Kagome metal CsV3Sb5: evidence from their evolutions with sample thickness
• A new class of bilayer kagome lattice compounds with Dirac nodal lines and pressure-induced superconductivity
• Phonon promoted charge density wave in topological kagome metal ScV${}_6$Sn${}_6$
• Non-trivial band topology and orbital-selective electronic nematicity in a new titanium-based kagome superconductor
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Three-dimensional energy gap and origin of charge-density wave in kagome superconductor KV3Sb5
• Evolution of highly anisotropic magnetism in the titanium-based kagome metals LnTi${}_3$Bi${}_4$ (Ln: La...Gd${}^{3+}$, Eu${}^{2+}$, Yb${}^{2+}$)
• Carrier Injection and Manipulation of Charge-Density Wave in Kagome Superconductor CsV3Sb5
• Emergent nematicity and intrinsic vs. extrinsic electronic scattering processes in the kagome metal CsV${}_3$Sb${}_5$
• Dynamical Study of the Origin of the Charge Density Wave in $A$V${}_3$Sb${}_5$ ($A=$K, Rb, Cs) Compounds
• Van Hove tuning of AV3Sb5 kagome metals under pressure and strain
• Magneto-Seebeck effect and ambipolar Nernst effect in CsV${}_3$Sb${}_5$ superconductor
• Topological chiral superconductivity beyond pairing in a Fermi liquid
• Evidence chain for time-reversal symmetry-breaking kagome superconductivity
• Charge 4e superconductivity and chiral metal in the $45^{\circ }$-twisted bilayer cuprates and similar bilayers
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• Superconductivity in kagome metal YRu3Si2 with strong electron correlations
• Doping quantum spin liquids on the Kagome lattice
• Altermagnetic Ground State in Distorted Kagome Metal CsCr${}_3$Sb${}_5$
• YCr6Ge6 as a Candidate Compound for a Kagome Metal
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Anisotropic magnetism and band evolution induced by ferromagnetic phase transition in titanium-based kagome ferromagnet SmTi3Bi4
• Effects of Nb Doping on the Charge-Density Wave and Electronic Correlations in the Kagome Metal Cs(V${}_{1-x}$Nb${}_x$)${}_3$Sb${}_5$
• Electrical and thermal transport properties of kagome metals $A$Ti${}_3$Bi${}_5$ ($A$ = Rb, Cs)
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• YbV${}_3$Sb${}_4$ and EuV${}_3$Sb${}_4$, vanadium-based kagome metals with Yb${}^{2+}$ and Eu${}^{2+}$ zig-zag chains
• Tensor network approach to the fully frustrated XY model on a kagome lattice with a fractional vortex-antivortex pairing transition
• Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
• Type-II Nodal Line Fermions in New Z2 Topological Semimetals AV6Sb6 (A=K, Rb,and Cs) with Kagome Bilayer
• Spin-1/2 kagome Heisenberg antiferromagnet: Machine learning discovery of the spinon pair density wave ground state
• Evolution of ultra-flat band in van der Waals kagome semiconductor Pd3P2(S1-xSex)8
• Glass-like Cross-plane Thermal Conductivity of Kagome Metals RbV3Sb5 and CsV3Sb5
• Frustrated superconductivity and sextetting order
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• A density-wave-like transition in the polycrystalline V3Sb2 sample with bilayer kagome lattice
• Interplay between Chiral Charge Density Wave and Superconductivity in Kagome Superconductors: A Self-consistent Theoretical Analysis
• Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
• Topological electronic structure and electronic nematicity in candidate kagome superconductors, ATi${}_3$Bi${}_5$ (A = Rb, Cs)
• Electrical and thermal transport properties of kagome metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• Symmetry-protected Dirac nodal lines and large spin Hall effect in ${\mathbf{V}}_6\mathbf{S}{\mathbf{b}}_4$ with kagome bilayer
• Tuning the Intrinsic Spin Hall Effect by Charge Density Wave Order in Topological Kagome Metals
• Truly local topological dynamics of driven defects in Chern insulator
• Topological states in strongly correlated systems
• Photoemission Insights to Electronic Orders in Kagome Superconductor AV3Sb5
• Common sublattice-pure van Hove singularities in the kagome superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs)
• van Hove Singularity-Driven Emergence of Multiple Flat Bands in Kagome Superconductors
• Magnetoresistance hysteresis in the superconduting state of Kagome CsV${}_3$Sb${}_5$
• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Pressure-induced superconductivity in flat-band Kagome compounds Pd${}_3$P${}_2$(S${}_{1-x}$Se${}_x$)${}_8$
• Fidelity and variability in the interlayer electronic structure of the kagome superconductor CsV3Sb5
• Multiple topological corner states in the continuum of extended kagome lattice
• Magnetic field-induced momentum-dependent symmetry breaking in a kagome superconductor
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Yu-Shiba-Rusinov states in the s-wave superconducting kagome Hubbard model: Self-consistent Bogoliubov-de Gennes calculations
• Resistive anisotropy in the charge density wave phase of Kagome superconductor CsV3Sb5 thin films
• Current-induced magnetoresistance hysteresis in the kagome superconductor CsV${}_3$Sb${}_5$
• Role of On-site and Inter-site Coulomb Interactions in KV${}_3$Sb${}_5$: A first-principles DFT+$U$+$V$ study
• Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
• Persistence of charge density wave fluctuations in the absence of long-range order in a hole-doped kagome metal
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Variational Monte Carlo Optimization of Topological Chiral Superconductors