Majorana spin liquid and dimensional reduction in Cs2CuCl4

Abstract

The low-temperature behavior of the magnetic insulator Cs2CuCl4 can be modeled by an anisotropic triangular lattice spin-1/2 Heisenberg antiferromagnet with two different exchange couplings J and J' = J/3. We show that in a wide range of magnetic fields the experimentally observed field dependence of the crossover temperature T_c for spin-liquid behavior can be explained within a mean-field theory based on the representation of spin operators in terms of Majorana fermions. We also show that for small magnetic fields the specific heat and the spin susceptibility both exhibit a maximum as a function of temperature at T_c = J/2. In the spin-liquid regime, the Majorana fermions can only propagate along the direction of the strongest bond, in agreement with the dimensional reduction scenario advanced by Balents [Nature (London) 464, 199 (2010)].

9 pages, 8 figures

References in corpus (12)

• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Bose-Einstein Condensation of Magnons in Cs2CuCl4
• Ordering in spatially anisotropic triangular antiferromagnets
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Ground States of Spin-1/2 Triangular Antiferromagnets in a Magnetic Field
• Spin-spin correlators in Majorana representation
• SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• Elastic constants and ultrasonic attenuation in the cone state of the frustrated antiferromagnet Cs_2CuCl_4
• Majorana fermion description of the Kondo lattice: Variational and Path integral approach

Cited by in corpus (16)

• Projective symmetry group classification of chiral spin liquids
• Chiral spin-orbital liquids with nodal lines
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Variational wave functions for the $S=1/2$ Heisenberg model on the anisotropic triangular lattice: Spin liquids and spiral orders
• Exact renormalization group for quantum spin systems
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• One-dimensional spin liquid, collinear, and spiral phases from uncoupled chains to the triangular lattice
• Spin liquid phase in a spatially anisotropic frustrated antiferromagnet
• Dynamics of a j=3/2 quantum spin liquid
• Incommensurate spiral magnetic order on anisotropic triangular lattice: Dynamical mean field study in a spin-rotating frame
• Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$ at finite temperatures in magnetic fields higher than the saturation field
• Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$
• Properties and application of the SO(3) Majorana representation of spin: equivalence with the Jordan-Wigner transformation and exact $Z_2$ gauge theories for spin models
• Evidence of one-dimensional magnetic heat transport in the triangular-lattice antiferromagnet Cs${}_2$CuCl${}_4$
• Singular spin-wave theory and scattering continua in the cone state of Cs_2CuCl_4
• Majorana Diagrammatics for Quantum Spin-1/2 Models