Abstract
Possible average alignments of the spins in the ground state and the phase transitions of a geometrically frustrated Ising antiferromagnet in the presence of the magnetic field on a triangular lattice are studied in a mean field approximation. Starting from a zero-field clock phase, we can determine the phase boundaries from the curves of magnetic moments and their derivatives as functions of the field. We also analyze the behaviour of sublattice magnetic moments under the effect of the field. The experimental relevances for TmMgGaO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</sub> and SrEr2O <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</sub> are discussed. Besides, using a functional integral method, we have calculated a functional for free energy to obtain the contribution of spin fluctuations. From this, we can find that the role of the quantum spin fluctuations at very low temperatures is only prominent in the vicinity of the transition points. It can therefore be seen that the results, although given in the mean field approximation, describe quite well the phase transitions and rearrangements of the magnetic moment per spin under the effect of both the transverse and longitudinal field.
Published Version
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