Triplet resonating valence bond theory and transition metal chalcogenides

Abstract

We develop a quantum spin liquid theory for quantum magnets with easy-plane ferromagnetic exchange. These strongly entangled quantum states are obtained by dimer coverings of 2D lattices with triplet $S=1,m_z=0$ bonds, forming a triplet resonating valence bond (tRVB) state. We discuss the conditions and the procedure to transfer well-known results from conventional singlet resonating valence bond theory to tRVB. Additionally, we present mean field theories of Abrikosov fermions on 2D triangular and square lattices, which can be controlled in an appropriate large $N$ limit. We also incorporate the effect of charge doping which stabilizes $p+ip$-wave superconductivity. Beyond the pure theoretical interest, our study may help to resolve contradictory statements on certain transition metal chalcogenides, including 1T-TaS${}_2$, as a potential tRVB spin-liquid.

arXiv comment10 pages + 3 pages Appendix, 6 figures

References in corpus (41)

• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• An RVB phase in the triangular lattice quantum dimer model
• A Field Guide to Spin Liquids
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• The remarkable underlying ground states of cuprate superconductors
• On the stability of U(1) spin liquids in two dimensions
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Visualizing Exotic Orbital Texture in the Single-Layer Mott Insulator 1T-TaSe2
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• A new high-temperature quantum spin liquid with polaron spins
• Strange metal behavior in a pure ferromagnetic Kondo lattice
• Magnetic Correlations in the Quasi-2D Semiconducting Ferromagnet CrSiTe${}_3$
• Imaging spinon density modulations in a 2D quantum spin liquid
• Classical dimers on the triangular lattice
• Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T-TaS${}_2$
• Heavy electrons and the symplectic symmetry of spin
• Supplementary material to Heavy electrons and the symplectic symmetry of spin
• Gapless excitations in the ground state of 1T-TaS${}_2$
• Orbital-driven Mottness collapse in 1T-TaS2-xSex transition metal dichalcogenide
• The low-temperature highly correlated quantum phase in the charge-density-wave 1T-TaS_2 compound
• Coexisting localized and itinerant gapless excitations in a quantum spin liquid candidate 1T-TaS${}_2$
• Phonon-assisted magnetic Mott-insulating state in the charge density wave phase of single-layer 1TNbSe2
• Pressure-induced superconductivity and structural transition in ferromagnetic Cr2Si2Te6
• Orbital density wave order and electronic correlation driven insulating 1T-TaS2 monolayer
• Charge-density-wave phase, mottness and ferromagnetism in monolayer $1T$-NbSe${}_2$
• Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice
• Spin Hamiltonians with resonating-valence-bond ground states
• Dimensional crossover in a layered ferromagnet detected by spin correlation driven distortions
• Topological ${\mathbb{Z}}_2$ Resonating-Valence-Bond Spin Liquid on the Square Lattice
• Coexistence of long-range and algebraic correlations for short-range valence-bond wave functions in three dimensions
• The Triplet Resonating Valence Bond State and Superconductivity in Hund's Metals
• Fractionalization and confinement in the U(1) and $Z_2$ gauge theories of strongly correlated systems
• Quantum paramagnet in a $\pi$ flux triangular lattice Hubbard model
• Soluble limit and criticality of fermions in Z2 gauge theories
• Emergent moments in a Hund's impurity
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension