2012/03/31 by Ribhu K. Kaul
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Bilayer #Chemistry #Condensed matter physics #Crystallography #Geometry #Homogeneous space #Iron-based superconductors research #Ising model #Lattice (music) #Mathematics #Molecule #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Quantum phase transition #Square lattice #Valence (chemistry) #Valence bond theory #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.85.180411
published as Phys. Rev. B 85, 180411(R) (2012)
openalex publication_date 2012/05/29 · arxiv created 2012/05/31 · arxiv updated 2012/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We present a detailed study of the destruction of SU(N) magnetic order in square lattice bilayer antiferromagnets using unbiased quantum Monte Carlo numerical simulations and field theoretic techniques. We study phase transitions from an SU(N) N'eel state into two distinct quantum disordered ``valence-bond'' phases: a valence-bond liquid (VBL) with no broken symmetries and a lattice-symmetry-breaking valence-bond solid (VBS) state. For finite interlayer coupling, the cancellation of Berry phases between the layers has dramatic consequences on the two phase transitions: the N'eel-VBS transition is first order for all N\ensuremath≥5 accesible in our model, whereas the N'eel-VBL transition is continuous for N=2 and first order for N\ensuremath≥4; for N=3 the N'eel-VBL transition show no signs of first-order behavior.