Spinons and triplons in spatially anisotropic frustrated antiferromagnets

Abstract

The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed matter physics. We explore the possibility in a realistic model for several materials, the spin-1/2 spatially anisotropic frustrated Heisenberg antiferromagnet in two dimensions. By restricting the Hilbert space to that expressed by exact eigenstates of the Heisenberg chain, we derive an effective Schrödinger equation valid in the weak interchain-coupling regime. The dynamical spin correlations from this approach agree quantitatively with inelastic neutron measurements on the triangular antiferromagnet Cs_2CuCl_4. The spectral features in such antiferromagnets can be attributed to two types of excitations: descendents of one-dimensional spinons of individual chains, and coherently propagating "triplon" bound states of spinon pairs. We argue that triplons are generic features of spatially anisotropic frustrated antiferromagnets, and arise because the bound spinon pair lowers its kinetic energy by propagating between chains.

16 pages, 6 figures

References in corpus (34)

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• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Experimental realization of a 2D fractional quantum spin liquid
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Dynamics of coupled quantum spin chains
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Direct Measurement of the Spin Hamiltonian and Observation of Condensation of Magnons in the 2D Frustrated Quantum Magnet Cs2CuCl4
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Ordering in spatially anisotropic triangular antiferromagnets
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet
• Excitations in one-dimensional S=1/2 quantum antiferromagnets
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
• Magnetic and Metal-Insulator Transitions through Bandwidth Control in Two-Dimensional Hubbard Models with Nearest and Next-Nearest Neighbor Transfers
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Quasi-1D spin-1/2 Heisenberg magnets in their ordered phase: correlation functions
• Exact two-spinon dynamical correlation function of the Heisenberg model
• Large-N solutions of the Heisenberg and Hubbard-Heisenberg models on the anisotropic triangular lattice: application to Cs${}_2$CuCl${}_4$ and to the layered organic superconductors $\kappa$-(BEDT-TTF)${}_2$X
• Magnetization plateaux of S = 1/2 two-dimensional frustrated antiferromagnet Cs${}_2$CuBr${}_4$
• Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4
• Ordering in Cs2CuCl4: Is there a proximate spin liquid?
• Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4
• Statistics of spinons in the spin-liquid phase of Cs2CuCl4
• Spin Structure Factor of the Frustrated Quantum Magnet Cs_2CuCl_4
• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
• Resonating valence bond wave function for the two dimensional fractional spin liquid
• Ground state and excitation properties of the quantum kagomé system ZnCu${}_3$(OH)${}_6$Cl${}_2$ investigated by local probes

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