Bibliographic Details
| Title: |
Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field |
| Authors: |
Kadowaki, Hiroaki, Takatsu, Hiroshi, Wakita, Mika |
| Source: |
Phys. Rev. B 98, 144410 (2018) |
| Publication Year: |
2018 |
| Collection: |
Condensed Matter |
| Subject Terms: |
Condensed Matter - Strongly Correlated Electrons |
| More Details: |
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 Tb$_{2}$Ti$_{2}$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 wavevector $\boldsymbol{k}=0$ and is selected by an energetic or an order-by-disorder mechanism from degenerate $\boldsymbol{k}=(h,h,h)$ mean-field orders. Under [111] magnetic field this three-dimensional quadrupole order is transformed to a quasi two-dimensional quadrupole order on each kagom\'{e} lattice separated by field-induced ferromagnetic triangular lattices. We discuss implication of the simulation results with respect to experimental data of Tb$_{2}$Ti$_{2}$O$_{7}$.
Comment: 11 pages, 10 figures; Fig. 1 and Eqs. (A1), (A2), (A3) are corrected (v3) |
| Document Type: |
Working Paper |
| DOI: |
10.1103/PhysRevB.98.144410 |
| Access URL: |
http://arxiv.org/abs/1807.07722 |
| Accession Number: |
edsarx.1807.07722 |
| Database: |
arXiv |
