TY - JOUR
T1 - Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
T2 - The J 1-J 2-J 3 model
AU - Li, P. H.Y.
AU - Bishop, R. F.
AU - Farnell, D. J.J.
AU - Campbell, C. E.
PY - 2012/10/9
Y1 - 2012/10/9
N2 - We use the coupled-cluster method in high orders of approximation to make a comprehensive study of the ground-state (GS) phase diagram of the spin-1/2 J 1-J 2-J 3 model on a two-dimensional honeycomb lattice with antiferromagnetic (AFM) interactions up to third-nearest neighbors. Results are presented for the GS energy and the average local onsite magnetization. With the nearest-neighbor coupling strength J 1 1, we find four magnetically ordered phases in the parameter window J 2,J 3[0,1], namely, the Néel, striped, and Néel-II collinear AFM phases, plus a spiral phase. The Néel-II phase appears as a stable GS phase in the classical version of the model only for values J 3<0. Each of these four ordered phases shares a boundary with a disordered quantum paramagnetic (QP) phase, and at several widely separated points on the phase boundaries the QP phase has an infinite susceptibility to plaquette valence-bond crystalline order. We identify all of the phase boundaries with good precision in the parameter window studied, and we find three tricritical quantum critical points therein at (a) (J2c 1,J3c 1)=(0.51±0.01,0.69±0.01) between the Néel, striped, and QP phases; (b) (J2c 2,J3c 2)=(0.65±0.02,0.55±0.01) between the striped, spiral, and QP phases; and (c) (J2c 3,J3c 3)=(0.69±0.01,0. 12±0.01) between the spiral, Néel-II, and QP phases.
AB - We use the coupled-cluster method in high orders of approximation to make a comprehensive study of the ground-state (GS) phase diagram of the spin-1/2 J 1-J 2-J 3 model on a two-dimensional honeycomb lattice with antiferromagnetic (AFM) interactions up to third-nearest neighbors. Results are presented for the GS energy and the average local onsite magnetization. With the nearest-neighbor coupling strength J 1 1, we find four magnetically ordered phases in the parameter window J 2,J 3[0,1], namely, the Néel, striped, and Néel-II collinear AFM phases, plus a spiral phase. The Néel-II phase appears as a stable GS phase in the classical version of the model only for values J 3<0. Each of these four ordered phases shares a boundary with a disordered quantum paramagnetic (QP) phase, and at several widely separated points on the phase boundaries the QP phase has an infinite susceptibility to plaquette valence-bond crystalline order. We identify all of the phase boundaries with good precision in the parameter window studied, and we find three tricritical quantum critical points therein at (a) (J2c 1,J3c 1)=(0.51±0.01,0.69±0.01) between the Néel, striped, and QP phases; (b) (J2c 2,J3c 2)=(0.65±0.02,0.55±0.01) between the striped, spiral, and QP phases; and (c) (J2c 3,J3c 3)=(0.69±0.01,0. 12±0.01) between the spiral, Néel-II, and QP phases.
UR - https://www.scopus.com/pages/publications/84867356345
UR - https://www.scopus.com/pages/publications/84867356345#tab=citedBy
U2 - 10.1103/PhysRevB.86.144404
DO - 10.1103/PhysRevB.86.144404
M3 - Article
AN - SCOPUS:84867356345
SN - 1098-0121
VL - 86
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 14
M1 - 144404
ER -