Stabilizing the spiral order with spin-orbit coupling in an anisotropic triangular antiferromagnet

Abstract

We study the effects of spin-orbit coupling (SOC) on the large-U Hubbard model on anisotropic triangular lattice at half-filling using the Schwinger-boson method. We find that the SOC will in general lead to a zero temperature condensation of the Schwinger bosons with a single condensation momentum. As a consequence, the spin-spin correlation vanishes along the z-axis but develops in the $x$-$y$ plane, with the ordering wave vector being dramatically dependent on the SOC. Moreover, the phase boundary of the magnetic ordered state extends to the region of large spatial anisotropy with increased condensation density, demonstrating that the spiral order is always stabilized by the SOC.

4 pages, 4figures

References in corpus (9)

• Optical Flux Lattices for Ultracold Atomic Gases
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Ground states of a frustrated spin-1/2 antifferomagnet: Cs_2CuCl_4 in a magnetic field
• Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Order in a Spatially Anisotropic Triangular Antiferromagnet
• 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

Cited by in corpus (2)

• Triangular Spin-Orbit-Coupled Lattice with Strong Coulomb Correlations: Sn Atoms on a SiC(0001) Substrate
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids