Dynamical reduction of the dimensionality of exchange interactions and the "spin-liquid" phase of $\kappa$-(BEDT-TTF)${}_{2}X$

Abstract

We show that the anisotropy of the effective spin model for the dimer Mott insulator phase of $\kappa$-(BEDT-TTF)${}_{2}X$ salts is dramatically different from that of the underlying tight-binding model. Intra-dimer quantum interference results in a model of coupled spin chains, where frustrated interchain interactions suppress long-range magnetic order. Thus, we argue, the "spin liquid" phase observed in some of these materials is a remnant of the Tomonaga-Luttinger physics of a single chain. This is consistent with previous experiments and resolves some outstanding puzzles. An erratum [Phys. Rev. Lett. 120, 199901 (2018).] is added as an appendix.

arXiv commentAccepted by PRL, 6 pages, 5 figures

References in corpus (52)

• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Experimental realization of a 2D fractional quantum spin liquid
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Direct Measurement of the Spin Hamiltonian and Observation of Condensation of Magnons in the 2D Frustrated Quantum Magnet Cs2CuCl4
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Ordering in spatially anisotropic triangular antiferromagnets
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
• Lattice effects and entropy release at the low-temperature phase transition in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
• Weak Mott insulators on the triangular lattice: possibility of a gapless nematic quantum spin liquid
• Pressure-Tuned Exchange Coupling of a Quantum Spin Liquid in the Molecular Triangular Lattice $\kappa$-(ET)${}_2$Ag${}_2$(CN)${}_3$
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Spin wave analysis to the spatially-anisotropic Heisenberg antiferromagnet on triangular lattice
• Magnetic phase transitions in the two-dimensional frustrated quantum antiferromagnet Cs2CuCl4
• Dynamics and transport of the Z_2 spin liquid: application to kappa-(ET)2Cu2(CN)3
• Pairing and superconductivity driven by strong quasiparticle renormalization in two-dimensional organic charge transfer salts
• Quasiparticles at the verge of localization near the Mott metal-insulator transition in a two-dimensional material
• Magnetic order in a spin-half interpolating square-triangle Heisenberg antiferromagnet
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Incommensurate correlations in the anisotropic triangular Heisenberg lattice
• The Paired-Electron Crystal in the Two-Dimensional Frustrated Quarter-Filled Band
• The Heisenberg antiferromagnet on an anisotropic triangular lattice: linear spin-wave theory
• Symmetry of the superconducting order parameter in frustrated systems determined by the spatial anisotropy of spin correlations
• Spin-triplet pairing instability of the spinon Fermi surface in a U(1) spin liquid
• Power-law dependence of the optical conductivity observed in the quantum spin-liquid compound κ-(BEDT-TTF)2Cu2(CN)3
• Geometrical frustration in the spin liquid beta'-Me3EtSb[Pd(dmit)2]2 and the valence bond solid Me3EtP[Pd(dmit)2]2
• Coulomb parameters and photoemission for the molecular metal TTF-TCNQ
• Effective Coulomb interactions within BEDT-TTF dimers
• Field-induced staggered magnetic moment in the quasi-two-dimensional organic Mott insulator $\kappa$-(BEDT-TTF)${}_2$Cu[N(CN)${}_2$]Cl
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
• Insulator-metal transition on the triangular lattice
• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• Quantum critical behavior of electrons at the edge of charge order
• In-plane superfluid density and microwave conductivity of the organic superconductor κ-(BEDT-TTF)2Cu[N(CN)2]Br: evidence for d-wave pairing and resilient quasiparticles
• Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
• Spin liquid phase in a spatially anisotropic frustrated antiferromagnet
• Spin-orbit coupling and strong electronic correlations in cyclic molecules
• Mixed order parameters, accidental nodes and broken time reversal symmetry in organic superconductors: a group theoretical analysis
• Spin Fluctuations and the Pseudogap in Organic Superconductors
• Antiferromagnetic Spin Fluctuations and the Pseudogap in the Paramagnetic Phases of Quasi-Two-Dimensional Organic Superconductors
• Antiferromagnetic Spin Fluctuations in the Metallic Phase of Quasi-Two-Dimensional Organic Superconductors
• Nature of the low energy excitations in the short range ordered region of Cs${}_2$CuCl${}_4$ as revealed by ${}^{133}$Cs NMR
• Antiferromagnetic fluctuations in the quasi-two-dimensional organic superconductor detected by Raman spectroscopy
• Large thermomagnetic effects in weakly disordered Heisenberg chains

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