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Quantum spin ice is an appealing proposal of a quantum spin liquid - systems where the magnetic moments of the constituent electron spins evade classical long-range order to form an exotic state that is quantum entangled and coherent over…

Unbiased quantum Monte-Carlo simulations are performed on the nearest-neighbor spin-$\frac{1}{2}$ pyrochlore XXZ model with an antiferromagnetic longitudinal and a weak ferromagnetic transverse exchange couplings, $J$ and $J_\perp$. The…

Statistical Mechanics · Physics 2015-08-19 Yasuyuki Kato , Shigeki Onoda

In a class of frustrated magnets known as spin ice, magnetic monopoles emerge as classical defects and interact via the magnetic Coulomb law. With quantum-mechanical interactions, these magnetic charges are carried by fractionalised bosonic…

Strongly Correlated Electrons · Physics 2012-08-09 Lieh-Jeng Chang , Shigeki Onoda , Yixi Su , Ying-Jer Kao , Ku-Ding Tsuei , Yukio Yasui , Kazuhisa Kakurai , Martin Richard Lees

We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the…

Statistical Mechanics · Physics 2015-06-24 R. Moessner , Oleg Tchernyshyov , S. L. Sondhi

The pyrochlore compounds Ho2Ti2O7 and Dy2Ti2O7 show an exotic form of magnetism called the spin ice state, resulting from the interplay between geometrical frustration and ferromagnetic coupling. A fascinating feature of this state is the…

Materials Science · Physics 2013-09-11 D. P. Leusink , F. Coneri , M. Hoek , S. Turner , H. Idrissi , G. Van Tendeloo , H. Hilgenkamp

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents

Despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K, the Tb2Ti2O7 pyrochlore magnetic material lacks long range magnetic order down to at least $T^*\approx 50$ mK. It has recently been proposed that the low temperature collective…

Statistical Mechanics · Physics 2009-05-07 Hamid R. Molavian , Michel J. P. Gingras

While phase transitions between magnetic analogs of three states of matter --- a long-range ordered state, paramagnet, and spin liquid --- have been extensively studied, the possibility of "liquid-liquid" transitions, namely, between…

Strongly Correlated Electrons · Physics 2017-04-05 Joji Nasu , Yasuyuki Kato , Junki Yoshitake , Yoshitomo Kamiya , Yukitoshi Motome

We report on the study of unusual spin glass properties in the geometrically frustrated pyrochlore Tb$_{2}$Mo$_{2}$O$_{7}$, $T$$_{g}$$\simeq$24 K. The analysis of the nonlinear part of dc and complex susceptibilities, near the glass…

Strongly Correlated Electrons · Physics 2013-09-17 D. K. Singh , Y. S. Lee

Electrons in the pyrochore iridates experience a large interaction energy in addition to a strong spin-orbit interaction. Both features make the iridates promising for realizing novel states such as the Topological Mott Insulator. The…

Strongly Correlated Electrons · Physics 2017-09-21 Tian Liang , Timothy H. Hsieh , Jun J. Ishikawa , Satoru Nakatsuji , Liang Fu , N. P. Ong

Muon-spin relaxation results on the pyrochlore iridate Nd$_2$Ir$_2$O$_7$ are reported. Spontaneous coherent muon-spin precession below the metal-insulator transition (MIT) temperature of about 33 K is observed, indicating the appearance of…

Strongly Correlated Electrons · Physics 2013-09-03 Hanjie Guo , Kazuyuki Matsuhira , Ikuto Kawasaki , Makoto Wakeshima , Yukio Hinatsu , Isao Watanabe , Zhu-an Xu

We resolve the phase diagram of the $S=1$ pyrochlore spin ice, which exhibits trivial paramagnetic, U(1) Coulomb, and spin nematic phases. In the monopole-free limit, the system can be effectively mapped onto 3D $XY$ and Ising loop-gas…

Strongly Correlated Electrons · Physics 2026-03-18 Sena Watanabe , Yukitoshi Motome , Haruki Watanabe

The search for two dimensional quantum spin liquids, exotic magnetic states with an entangled ground state remaining disordered down to zero temperature, has been a great challenge in frustrated magnetism during the last decades. Recently,…

Strongly Correlated Electrons · Physics 2018-10-15 E. Lhotel , S. Petit , M. Ciomaga Hatnean , J. Ollivier , H. Mutka , E. Ressouche , M. R. Lees , G. Balakrishnan

Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as "artificial magnetostatics", manifesting as Coulombic power-law spin correlations and particles behaving as…

Strongly Correlated Electrons · Physics 2011-10-11 Kate A. Ross , Lucile Savary , Bruce D. Gaulin , Leon Balents

The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated by recent experiments on the Yb-based breathing pyrochlore…

Strongly Correlated Electrons · Physics 2016-08-23 Lucile Savary , Xiaoqun Wang , Hae-Young Kee , Yong Baek Kim , Yue Yu , Gang Chen

The very nature of the ground state of the pyrochlore compound Yb$_2$Ti$_2$O$_7$ is much debated, as experimental results demonstrate evidence for both a disordered or a long-range ordered ground state. Indeed, the delicate balance of…

Strongly Correlated Electrons · Physics 2014-05-13 E. Lhotel , S. R. Giblin , M. R. Lees , G. Balakrishnan , L. J. Chang , Y. Yasui

A quantum melting of the spin ice is proposed for pyrochlore-lattice magnets Pr$_2TM_2$O$_7$ ($TM=$Ir, Zr, and Sn). The quantum superexchange Hamiltonian having a nontrivial magnetic anisotropy is derived in the basis of atomic non-Kramers…

Strongly Correlated Electrons · Physics 2010-07-26 Shigeki Onoda , Yoichi Tanaka

A2Ir2O7 iridates were proven to crystallise in the geometrically frustrated pyrochlore structure, which remains stable upon rare-earth cation substitution, temperature variation, and external pressure application. However, the change of…

Strongly Correlated Electrons · Physics 2024-08-05 Daniel Staško , Petr Proschek , Jiří Prchal , Milan Klicpera

We present magnetization and Hall effect measurements on the pyrochlore iridate Nd2Ir2O7. Previous muon spin rotation measurements have shown that the system undergoes an unusual transition at T$_M$ = 110 K into a magnetic phase lacking…

Strongly Correlated Electrons · Physics 2015-06-12 S. M. Disseler , S. R. Giblin , Chetan Dhital , K. C. Lukas , Stephen D. Wilson , M. J. Graf

We consider possible exotic ground states of quantum spin ice as realized in rare earth pyrochlores. Prior work in Phys. Rev. Lett. 108, 037202 introduced a gauge mean field theory (gMFT) to treat spin or pseudospin Hamiltonians for such…

Strongly Correlated Electrons · Physics 2015-06-04 SungBin Lee , Shigeki Onoda , Leon Balents