Dimensional change of the quadrupole order in pseudospin- 12 pyrochlore magnets under magnetic field in the [111] direction

Autor: Hiroaki Kadowaki, Mika Wakita, Hiroshi Takatsu
Rok vydání: 2018
Předmět:
Zdroj: Physical Review B. 98
ISSN: 2469-9969
2469-9950
DOI: 10.1103/physrevb.98.144410
Popis: We have studied long-range orders of electric quadrupole moments described by an effective pseudospin-$\frac{1}{2}$ Hamiltonian representing pyrochlore magnets with non-Kramers ions under [111] magnetic field, in relevance to ${\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7}$. Order parameters and phase transitions of this frustrated system are investigated using classical Monte Carlo simulations. In zero field, the model undergoes a first-order phase transition from a paramagnetic state to an ordered state with an antiparallel arrangement of pseudospins. This pseudospin order is characterized by the wave vector $\mathbit{k}=0$ and is selected by an energetic or an order-by-disorder mechanism from degenerate $\mathbit{k}=(h,h,h)$ mean-field orders. Under [111] magnetic field this three-dimensional quadrupole order is transformed to a quasi-two-dimensional quadrupole order on each kagome lattice separated by field-induced ferromagnetic triangular lattices. We discuss the implication of the simulation results with respect to experimental data of ${\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7}$.
Databáze: OpenAIRE