Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4

Abstract

We report a thorough theoretical study of the low temperature phase diagram of Cs_2CuCl_4, a spatially anisotropic spin S=1/2 triangular lattice antiferromagnet, in a magnetic field. Our results, obtained in a quasi-one-dimensional limit in which the system is regarded as a set of weakly coupled Heisenberg chains, are in excellent agreement with experiment. The analysis reveals some surprising physics. First, we find that, when the magnetic field is oriented within the triangular layer, spins are actually most strongly correlated within planes perpendicular to the triangular layers. This is despite the fact that the inter-layer exchange coupling in Cs_2CuCl_4 is about an order of magnitude smaller than the weakest (diagonal) exchange in the triangular planes themselves. Second, the phase diagram in such orientations is exquisitely sensitive to tiny interactions, heretofore neglected, of order a few percent or less of the largest exchange couplings. These interactions, which we describe in detail, induce entirely new phases, and a novel commensurate-incommensurate transition, the signatures of which are identified in NMR experiments. We discuss the differences between the behavior of Cs_2CuCl_4 and an ideal two-dimensional triangular model, and in particular the occurrence of magnetization plateaux in the latter. These and other related results are presented here along with a thorough exposition of the theoretical methods, and a discussion of broader experimental consequences to Cs_2CuCl_4 and other materials.

43 pages, 20 figures; typos corrected

References in corpus (22)

• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Bose-Einstein Condensation of Magnons in Cs2CuCl4
• Ordering in spatially anisotropic triangular antiferromagnets
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Ground states of a frustrated spin-1/2 antifferomagnet: Cs_2CuCl_4 in a magnetic field
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Thermodynamics of the Up-Up-Down Phase of the S = 1/2 Triangular-Lattice Antiferromagnet Cs${}_2$CuBr${}_4$
• Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
• 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
• Quasiparticles of spatially anisotropic triangular antiferromagnets in a magnetic field
• Variational Studies of Triangular Heisenberg Antiferromagnet in Magnetic Field
• Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field
• First principles perspective on the microscopic model for Cs2CuCl4 and Cs2CuBr4

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