High-order study of the quantum critical behavior of a frustrated spin- 12 antiferromagnet on a stacked honeycomb bilayer

Abstract

A high-order study of the quantum critical behavior of a frustrated spin-1 2 antiferromagnet on a stacked honeycomb bilayer

Collinear antiferromagnetic phases of a frustrated spin-12 J1–Li1, Bishop2 2019Journal of Magnetism and Magnetic Materials4170View full textAdd to dashboardCite

“…It has been noted previously [16,17,52,63] that, while the (2m − 1)/2m staggering in LSUBn sequences of approximants is common to all spin lattices, a further subtlety arises in the case of honeycomb-lattice models. For such models one observes an additional staggering effect, such that in the even-order series of LSUBn approximants for some observable quantities the terms with n = (4m − 2) are offset (or staggered) with respect to those with n = 4m.…”

Frustrated spin-$\frac{1}{2}$ Heisenberg magnet on an $AA$-stacked honeycomb bilayer: High-order study of the collinear magnetic phases of the $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model

“…While the above (2m − 1)/2m staggering in LSUBn sequences of approximants for any physical quantity is common to all spin-lattice models on all lattices, honeycomb lattices tend to exhibit an additional (4m − 2)/4m staggering in the even subsequences, as has been noted elsewhere [22,24,58,65,89], and which now seems to originate in the non-Bravais nature of the honeycomb lattice [65], which itself comprises two interlacing triangular Bravais sublattices. Each of these displays the above-mentioned (2m − 1)/2m staggering, and the composite honeycomb lattice then magnifies the effect twofold into the observed (4m − 2)/4m staggering of the even (n = 2m) subsequence and, presumably, also a (4m − 3)/(4m − 1) staggering of the odd (n = 2m − 1) subsequence.…”

Ising versus Potts criticality in low-temperature magnetothermodynamics of a frustrated spin- 12 Heisenberg triangular bilayer

“…[9][10][11] Over the past few years a great deal of attention has been paid to the Heisenberg bilayers, which exhibit a great variety of quantum phases and phase transitions. [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] The frustrated spin- 1 2 Heisenberg square bilayer for instance displays a peculiar zero-field ground-state phase diagram including two lines of discontinuous and continuous phase transitions, which meet together at a peculiar quantum critical end point. 27 Moreover, the frustrated spin- 1 2 Heisenberg square [28][29][30][31][32] and honeycomb 33,34 bilayers belong to a valuable class of frustrated quantum spin systems, which exhibit a magnoncrystal state manifested in zero-and low-temperature magnetization curves as the last intermediate plateau emergent below the saturation field.…”