2010/12/01 by R. Ganesh, D. N. Sheng, Young‐June Kim +3 · 80 citations
Chemistry · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Bilayer #Chemistry #Condensed matter physics #Ground state #Heisenberg model #Lattice (music) #Molecule #Paramagnetism #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Theoretical and Computational Physics #Valence bond theory #cond-mat.str-el
paper · pdf · open access · doi:10.1103/physrevb.83.144414
published in Physical Review B 83(14) (American Physical Society) · 8 pages, revised longer version of arXiv:1012.0316. Corrected factor of 2 error in Eq.[16], replotted Fig.[4] and revised the critical $J_c/J_1$ needed to stabilize interlayer dimer state. We thank S. V. Isakov for discussions which uncovered this error
openalex publication_date 2011/04/18 · arxiv created 2011/06/21 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Bi3Mn4O12(NO3) is a recently synthesized spin-3/2 bilayer honeycomb antiferromagnet which behaves as a spin liquid down to very low temperatures. Beyond a magnetic field of about 5 T, it develops long-range N'eel order. Motivated by this observation, we have studied spin-S Heisenberg models with next neighbor frustrating interactions as well as bilayer couplings on the honeycomb lattice. For a model with frustrating second-neighbor exchange, J2, we use a Lindemann-like criterion within spin-wave theory to show that N'eel order melts beyond a critical J2. The critical J2 is found to increase in the presence of a magnetic field, implying the existence of a field-induced paramagnet-N'eel transition over a range of parameters. For the bilayer model, we use a spin-S generalization of bond operator mean-field theory to show that there is a N'eel-dimer transition for various spin values with increasing bilayer coupling and that the resulting interlayer dimer state undergoes a field-induced transition into a state with transverse N'eel order. Motivated by a broader interest in such paramagnets, we have also studied a spin-3/2 model which interpolates between the nearest-neighbor Heisenberg model and the Affleck-Kennedy-Lieb-Tasaki (AKLT) parent Hamiltonian. Using exact diagonalization, we have found that there is a single N'eel-AKLT quantum phase transition in this model. Computing the fidelity susceptibility and assuming a transition in the O(3) universality class, we have located the critical point of this model. In addition, we have obtained the spin gap of the AKLT parent Hamiltonian. Our numerics indicate that the AKLT state also undergoes a field-induced N'eel ordering transition. We discuss implications of some of our results for experiments on Bi3Mn4O12(NO3) and for numerics on the honeycomb lattice Hubbard model.