Modelling the Berezinskii-Kosterlitz-Thouless Transition in the NiGa_2S_4

Abstract

In the two-dimensional superfluidity, the proliferation of the vortices and the anti-vortices results in a new class of phase transition, Berezinskii-Kosterlitz-Thouless (BKT) transition. This class of the phase transitions is also anticipated in the two-dimensional magnetic systems. However, its existence in the real magnetic systems still remains mysterious. Here we propose a phenomenological model to illustrate that the novel spin-freezing transition recently uncovered in the NMR experiment on the NiGa_2S_4 compound is the BKT-type. The novel spin-freezing state observed in the NiGa_2S_4 possesses the power-law decayed spin correlation.

4 pages, 6 figures

References in corpus (6)

• Ising models of quantum frustration
• Two-dimensional periodic frustrated Ising models in a transverse field
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Unusual superexchange pathways in a Ni triangular lattice of NiGa${}_2$S${}_4$ with negative charge-transfer energy
• Spin Anisotropy in ZnCu_3(OH)_6Cl_2

Cited by in corpus (4)

• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Possibility of S=1 spin liquids with fermionic spinons on triangular lattices
• Interplay of frustration and magnetic field in the two-dimensional quantum antiferromagnet Cu(tn)Cl${}_2$
• Spin dynamics and spin freezing in the triangular lattice antiferromagnets FeGa2S4 and NiGa2S4