Effect of chiral interactions in frustrated magnetic chains

Abstract

The Heisenberg model with competing exchanges together with the chiral term is studied using series expansion about the dimer limit and by finite-size diagonalizations. The phase diagram is determined with ground-state orderings and the lowest excitation characteristics. We find that the chiral term induces a gapless line in frustrated spin-gapped phases. A critical chiral strength is also able to change the ground state from spiral to Néel quasi-long-range-order phase.

Spin Hamiltonians in Magnets: Theories and Computations

“…[137], and they are found to be important in predicting a correct chirality for a spin spiral state of Fe chains deposited on the Re(0001) surface. When there is a magnetic field, for a nonbipartite lattice, the magnetic field can couple with the spin and produce a new term of the form ⋅ × = [138,139], which can be termed the three-spin chiral interaction (TCI) [140]. Such a chiral term can induce a gapless line in frustrated spin-gapped phases, and a critical chiral strength can change the ground state from spiral to Néel quasi-long-range-order phase [138].…”

“…When there is a magnetic field, for a nonbipartite lattice, the magnetic field can couple with the spin and produce a new term of the form ⋅ × = [138,139], which can be termed the three-spin chiral interaction (TCI) [140]. Such a chiral term can induce a gapless line in frustrated spin-gapped phases, and a critical chiral strength can change the ground state from spiral to Néel quasi-long-range-order phase [138]. This chiral term is also found to produce a chiral spin liquid state [141], where the time-reversal symmetry is broken spontaneously by the emergence of long-range order of scalar chirality [142].…”

Magnetic Properties of a Ni2+ Kagome System

“…An interesting possibility is that the spin moments may couple to the B-field inducing a chiral moment which is field dependent. [13] The magnetic data presented here suggest that there are three temperature regions corresponding to three different energy scales. At high temperature, the interaction is primarily isotropic antiferromagnetic superexchange coupling between spin-1 moments.…”

Topologically-driven three-spin chiral exchange interactions treated from first principles

“…The extended Heisenberg Hamiltonian accounts for the energy contributions due to multispin interactions. As it was reported in the literature [1][2][3][4][5] , these terms can be responsible for the magnetic properties which cannot be described successfully within the classical model that is restricted to bilinear exchange interactions. As for the standard Heisenberg Hamiltonian, the parameters of the extended Hamiltonian can be calculated from first principles.…”