The - antiferromagnet on the square lattice with Dzyaloshinskii - Moriya interaction: an exact diagonalization study

Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions

The nearest neighbor spin S = 2 antiferromagnet on the kagome lattice has been the focus of extensive theoretical and experimental study because it is a prime candidate for realizing a ground state without antiferromagnetic order. On the experimental side, much attention has focused on the S = 1/2 compound herbertsmithite ZnCu3(OH)6Cl2. It has J ⇡ 170 K and no observed ordering or structural di...

The spin - 1 / 2 J 1 - J 2 Heisenberg antiferromagnet on the square lattice : Exact diagonalization for N = 40 spins

We present numerical exact results for the ground state and the low-lying excitations for the spin-1/2 J 1-J 2 Heisenberg antiferromagnet on finite square lattices of up to N = 40 sites. Using finite-size extrapolation we determine the ground-state energy, the magnetic order parameters, the spin gap, the uniform susceptibility, as well as the spin-wave velocity and the spin stiffness as functio...

Wide-Range Probing of Dzyaloshinskii–Moriya Interaction

The Dzyaloshinskii-Moriya interaction (DMI) in magnetic objects is of enormous interest, because it generates built-in chirality of magnetic domain walls (DWs) and topologically protected skyrmions, leading to efficient motion driven by spin-orbit torques. Because of its importance for both potential applications and fundamental research, many experimental efforts have been devoted to DMI inves...

Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions

Quantum phase transition induced by Dzyaloshinskii-Moriya interactions in the kagome antiferromagnet

We argue that the S=1 /2 kagome antiferromagnet undergoes a quantum phase transition when the Dzyaloshinskii-Moriya coupling is increased. For D Dc the system is in a moment-free phase, and for D Dc the system develops antiferromagnetic long-range order. The quantum critical point is found to be Dc 0.1J using exact diagonalizations and finite-size scaling. This suggests that the kagome compound...