2014/12/12 by Zhenyue Zhu, Steven R. White
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Density matrix renormalization group #Frustration #Honeycomb #Ising model #Lattice (music) #Phase (matter) #Physics of Superconductivity and Magnetism #Quantum #Renormalization group #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1142/s0217984914300166
published as Mod. Phys. Lett. B, Vol. 28, No. 31 (2014) 1430016 · Invited review paper for modern physics letter B, including 22 pages, 10 figures
openalex publication_date 2014/12/12 · arxiv created 2014/12/13 · arxiv updated 2014/12/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Searching for spin-liquid states has long been attracting both experimentalists and theorists. In this paper, we review recent density matrix renormalization group studies of the spin-½ XY model on the honeycomb lattice, with first-neighbor (J 1 = 1) and frustrating second-neighbor (J 2 > 0) interactions. For the intermediate frustration regime 0.22 ≲ J 2 ≲ 0.36, there exists a surprising antiferromagnetic Ising phase, with ordered moments pointing along the z-axis, despite the absence of any S z S z interactions in the Hamiltonian. Surrounding this phase as a function of J 2 are antiferromagnetic phases with the moments pointing in the xy-plane for small J 2 and a close competition between an xy-plane magnetic collinear phase and a dimer phase for large values of J 2 . No spin-liquid phases was found in the XY model even with the third-neighbor (J 3 > 0) interactions.