Quadrupole order in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$

Abstract

We have studied the hidden long-range order (LRO) of the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$ by means of specific-heat experiments and Monte-Carlo (MC) simulations, which has been discussed as the LRO of quadrupole moments inherent to the non-Kramers ion of Tb${}^{3+}$. We have found that the sharp specific-heat peak is collapsed into a broad hump by magnetic fields above 0.3 T for $H//[001]$. This result, qualitatively reproduced by MC simulations, suggests that a field-induced magnetic state overcomes the quadrupolar LRO state, as a similar case of a classical spin ice. The present results support the interpretation that Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$ is a unique material in the boundary between the quadrupolar ($x\ge x_c=-0.0025$) and spin-liquid ($x\le x_c$) states, where the magnetic field along the [001] axis is a tuning parameter which induces the magnetic ordered state.

arXiv comment6 pages, 3 figures

References in corpus (11)

• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Magnetic and Thermodynamic Properties of the Collective Paramagnet-Spin Liquid Pyrochlore Tb2Ti2O7
• Generic quantum spin ice
• Magnetic anisotropy of the spin ice compound Dy2Ti2O7
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality
• Long-range order and spin-liquid states of polycrystalline Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Understanding Paramagnetic Spin Correlations in the Spin-Liquid Pyrochlore Tb2Ti2O7
• Ferromagnetic Ising Spin Chains Emerging from the Spin Ice under Magnetic Field
• Vibrating-coil magnetometry of the spin liquid properties of Tb2Ti2O7
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$

Cited by in corpus (9)

• Impact of Stoichiometry of Yb2Ti2O7 on its Physical Properties
• Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO${}_3$
• Quadrupole Order in the Frustrated Pyrochlore Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Quantum spin liquid and electric quadrupolar states of single crystal Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Thermodynamic properties of quadrupolar states in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field