Candidate quantum spin liquids on the maple-leaf lattice

Abstract

Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin-$1/2$ Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field Ansätze of fully symmetric $U(1)$ and ${\mathbb{Z}}_2$ quantum spin liquids within the framework of projective symmetry groups. We obtain a total of $17$ $U(1)$ and $12$ ${\mathbb{Z}}_2$ algebraic PSGs, and, upon restricting their realization via mean-field Ansätze with nearest-neighbor amplitudes (relevant to the studied models), only 12 $U(1)$ and 8 ${\mathbb{Z}}_2$ distinct phases are obtained. We present both singlet and triplet fields for all Ansätze up to third nearest-neighbor bonds and discuss their spinon dispersions as well as their dynamical spin structure factors. We further assess the effects of Gutzwiller projection on the equal-time spin structure factors, and identify a $U(1)$ Fermi surface spin liquid whose structure factor most closely reproduces the one obtained from pseudo-fermion functional renormalization group calculations.

arXiv comment28 pages, 21 figures, 7 tables

References in corpus (67)

• Quantum Orders and Symmetric Spin Liquids
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Z2 spin liquid in S=1/2 Heisenberg model on Kagome lattice: A projective symmetry group study of Schwinger-fermion mean-field states
• Gapless spin liquids on the three dimensional hyper-kagome lattice of Na${}_4$Ir${}_3$O${}_8$
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Projective symmetry group classification of chiral spin liquids
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Gapless chiral spin liquid in a kagome Heisenberg model
• Valence-bond crystal in the extended kagome spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Quantum s = 1/2 Antiferromagnets on Archimedean Lattices: The Route from Semiclassical Magnetic Order to Nonmagnetic Quantum States
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• SU(2) slave-boson formulation of spin nematic states in S=1/2 frustrated ferromagnets
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Intertwined nematic orders in a frustrated ferromagnet
• Characterization of quantum spin liquids and their spinon band structures via functional renormalization
• Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
• The spin-half Heisenberg antiferromagnet on two Archimedian lattices: From the bounce lattice to the maple-leaf lattice and beyond
• Pseudo-fermion functional renormalization group for spin models
• Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• The spin-1/2 Heisenberg antiferromagnet on a 1/7-depleted triangular lattice: Ground-state properties
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Spangolite: an s=1/2 maple leaf lattice antiferromagnet?
• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Competing quantum paramagnetic ground states of the Heisenberg antiferromagnet on the star lattice
• Another Exact Ground State of a 2D Quantum Antiferromagnet
• The Interplay Between Lattice Topology, Frustration, and Spin Quantum Number in Quantum Antiferromagnets on Archimedean Lattices
• Schwinger boson spin liquid states on square lattice
• Interplay of non-symmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na${}_4$Ir${}_3$O${}_8$
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_2$ spin liquid perspective
• Quantum antiferromagnet bluebellite comprising a maple-leaf lattice made of spin-1/2 Cu${}^{2+}$ ions
• Theoretical study of quantum spin liquids in $S=1/2$ hyper-hyperkagome magnets: classification, heat capacity, and dynamical spin structure factor
• Frustrated Magnetism of the Maple-Leaf-Lattice Antiferromagnet MgMn${}_3$O${}_7$$\cdot$3H${}_2$O
• Maple Leaf Antiferromagnet in a Magnetic Field
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Phase diagram of the $J$-$J_d$ Heisenberg Model on the Maple-Leaf Lattice: Neural networks and density matrix renormalization group
• Classification of quantum phases for the star-lattice antiferromagnet via a projective symmetry group analysis
• Classical and quantum order in hyperkagome antiferromagnets
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Projective symmetry group classifications of quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Symmetry protected gapless $Z_2$ spin liquids
• Symmetric spin liquids on the stuffed honeycomb lattice
• Schwinger boson symmetric spin liquids of Shastry-Sutherland model
• Quantum spin liquids on the diamond lattice
• Projective symmetry group classification of Abrikosov fermion mean-field ansätze on the square-octagon lattice
• Piercing the Dirac spin liquid: From a single monopole to chiral states
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids

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• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
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• Walking on Archimedean Lattices: Insights from Bloch Band Theory
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice