Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants

Abstract

We present the temperature dependence of the uniform susceptibility of spin-half quantum antiferromagnets on spatially anisotropic triangular-lattices, using high temperature series expansions. We consider a model with two exchange constants, $J_1$ and $J_2$ on a lattice that interpolates between the limits of a square-lattice ($J_1=0$), a triangular-lattice ($J_2=J_1$), and decoupled linear chains ($J_2=0$). In all cases, the susceptibility which has a Curie-Weiss behavior at high temperatures, rolls over and begins to decrease below a peak temperature, $T_p$. Scaling the exchange constants to get the same peak temperature, shows that the susceptibilities for the square-lattice and linear chain limits have similar magnitudes near the peak. Maximum deviation arises near the triangular-lattice limit, where frustration leads to much smaller susceptibility and with a flatter temperature dependence. We compare our results to the inorganic materials Cs${}_2$CuCl${}_4$ and Cs${}_2$CuBr${}_4$ and to a number of organic molecular crystals. We find that the former (Cs${}_2$CuCl${}_4$ and Cs${}_2$CuBr${}_4$) are weakly frustrated and their exchange parameters determined through the temperature dependence of the susceptibility are in agreement with neutron-scattering measurements. In contrast, the organic materials are strongly frustrated with exchange parameters near the isotropic triangular-lattice limit.

10 pages, 9 figures and 1 table, revised version

References in corpus (3)

• "Deconfined" quantum critical points
• Comparison of the phase diagram of the half-filled layered organic superconductors with the phase diagram of the RVB theory of the Hubbard-Heisenberg model
• Gossamer Superconductivity near Antiferromagnetic Mott Insulator in Layered Organic Conductors

Cited by in corpus (69)

• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Unusual ordered phases of highly frustrated magnets: a review
• Strong electronic correlations in superconducting organic charge transfer salts
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Lattice effects and entropy release at the low-temperature phase transition in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• The Paired Electron Crystal: order from frustration in the quarter-filled band
• Exponential Thermal Tensor Network Approach for Quantum Lattice Models
• Ferromagnetism, paramagnetism and a Curie-Weiss metal in an electron doped Hubbard model on a triangular lattice
• Phase diagram of the Hubbard model on the anisotropic triangular lattice
• Magnetic phase transitions in the two-dimensional frustrated quantum antiferromagnet Cs2CuCl4
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Moiré and beyond in transition metal dichalcogenide twisted bilayers
• Frustrated magnetic interactions in a Wigner-Mott insulator
• Finite temperature spin-dynamics and phase transitions in spin-orbital models
• Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4
• Thermodynamics of a bad metal-Mott insulator transition in the presence of frustration
• Competing phases of the Hubbard model on a triangular lattice -- insights from the entropy
• Mott transition in two-dimensional frustrated compounds
• Variational wave functions for the $S=1/2$ Heisenberg model on the anisotropic triangular lattice: Spin liquids and spiral orders
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems
• Determination of effective microscopic models for the frustrated antiferromagnets Cs${}_2$CuCl${}_4$ and Cs${}_2$CuBr${}_4$ by density functional methods
• Thermodynamics of anisotropic triangular magnets with ferro- and antiferromagnetic exchange
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
• Spin-waves in the $J_{1a}-J_{1b}-J_2$ orthorombic square-lattice Heisenberg models: Application to the iron pnictide materials
• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• One-dimensional spin liquid, collinear, and spiral phases from uncoupled chains to the triangular lattice
• Spin-charge-entangled non-Fermi liquid in a candidate material for a doped spin liquid
• Matrix product state techniques for two-dimensional systems at finite temperature
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• High temperature thermodynamics of the honeycomb-lattice Kitaev-Heisenberg model: A high temperature series expansion study
• Mixed order parameters, accidental nodes and broken time reversal symmetry in organic superconductors: a group theoretical analysis
• An Exact Diagonalization Study of the Anisotropic Triangular Lattice Heisenberg Model Using Twisted Boundary Conditions
• One-dimensionalization by Geometrical Frustration in the Anisotropic Triangular Lattice of the 5d Quantum Antiferromagnet Ca3ReO5Cl2
• Magnetic inhomogeneity on a triangular lattice: the magnetic-exchange versus the elastic energy and the role of disorder
• Spin Fluctuations and the Pseudogap in Organic Superconductors
• Dynamical reduction of the dimensionality of exchange interactions and the "spin-liquid" phase of $\kappa$-(BEDT-TTF)${}_{2}X$
• Hybridization and Decay of Magnetic Excitations in two-dimensional Triangular Lattice Antiferromagnets
• Impurities in triangular lattice spin 1/2 antiferromagnet
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• High-Temperature Series Expansion for Spin-1/2 Heisenberg Models
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Evidence of quantum spin liquid state in a Cu${}^{2+}$-based $S=1/2$ triangular lattice antiferromagnet
• Magnetic properties and Mott transition of the Hubbard model for weakly coupled chains on the anisotropic triangular lattice
• Long-range magnetic order in the anisotropic triangular lattice system CeCd3As3
• WSe2/WS2 moiré superlattices: a new Hubbard model simulator
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Nanoscale degeneracy lifting in a geometrically frustrated antiferromagnet
• Anisotropic Triangular Lattice Realized in Rhenium Oxychlorides A3ReO5Cl2 (A = Ba and Sr)
• ${}^{133}$Cs NMR investigation of 2D frustrated Heisenberg antiferromagnet, Cs${}_2$CuCl${}_4$
• Revealing the degree of magnetic frustration by non-magnetic impurities
• Tetragonal mixed system $C{s}_{2}CuC{l}_{4-x}B{r}_x$ complemented by the tetragonal phase realisation of $C{s}_{2}CuC{l}_4$
• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Magnetic phase diagram of the triangular antiferromagnetic $C{s}_{2}CuC{l}_{4-x}B{r}_x$ mixed system
• Magnetic field-driven transition between valence bond solid and antiferromagnetic order in distorted triangular lattice
• 1/T_1 nuclear relaxation time of κ-(BEDT-TTF)_ 2 Cu [N(CN)_2] Cl : effects of magnetic frustration
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• $x$-[Pd(dmit)${}_2$]${}_2$ as a quasi-1D, scalene Heisenberg model
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Spin-Orbital Ordering in Alkali Superoxides
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• Spectroscopy of the frustrated quantum antiferromagnet Cs${}_2$CuCl${}_4$
• Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices