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Pyrochlores offer an ideal playground to investigate the magnetic ground state of frustrated magnetic systems. In this class of materials, competition between various magnetic interactions remains frustrated and prevents an ordered magnetic…

Strongly Correlated Electrons · Physics 2022-10-06 Karan Singh , Dheeraj Ranaut , G. Sharma , K. Mukherjee

The search for the experimental evidence of quantum spin liquid (QSL) states is critical but extremely challenging, as the quenched interaction randomness introduced by structural imperfection is usually inevitable in real materials.…

Strongly Correlated Electrons · Physics 2022-11-08 Fangjun Lu , Long Yuan , Jian Zhang , Boqiang Li , Yongkang Luo , Yuesheng Li

A quantum spin liquid state has long been predicted to arise in spin-1/2 Heisenberg square-lattice antiferromagnets at the boundary region between N\'eel (nearest-neighbor interaction dominates) and columnar (next-nearest-neighbor…

Recent studies have revealed that the randomness-induced quantum spin liquid (QSL)-like state is stabilized in certain frustrated quantum magnets in two and three dimensions. In order to clarify the nature of this gapless QSL-like state, we…

Strongly Correlated Electrons · Physics 2021-11-24 Kazuki Uematsu , Toshiya Hikihara , Hikaru Kawamura

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

We present new magnetic heat capacity and neutron scattering results for two magnetically frustrated molybdate pyrochlores: $S=1$ oxide Lu$_2$Mo$_2$O$_7$ and $S={\frac{1}{2}}$ oxynitride Lu$_2$Mo$_2$O$_5$N$_2$. Lu$_2$Mo$_2$O$_7$ undergoes a…

Strongly Correlated Electrons · Physics 2015-06-19 L. Clark , G. J. Nilsen , E. Kermarrec , G. Ehlers , K. S. Knight , A. Harrison , J. P. Attfield , B. D. Gaulin

The Tb$_2$Ti$_2$O$_7$ pyrochlore magnetic material is attracting much attention for its {\em spin liquid} state, failing to develop long range order down to 50 mK despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K. In this paper…

Statistical Mechanics · Physics 2007-05-23 Hamid R. Molavian , Michel J. P. Gingras , Benjamin Canals

Pyrochlore iridates and pyrochlore ices are two families of materials where novel quantum phenomena are intertwined with strong spin-orbit coupling, substantial electron correlation and geometrical frustration. Motivated by the puzzling…

Strongly Correlated Electrons · Physics 2016-11-09 Gang Chen

Unlike conventional magnets where the magnetic moments are partially or completely static in the ground state, in a quantum spin liquid they remain in collective motion down to the lowest temperatures. The importance of this state is that…

Quantum spin liquids (QSL) are phases of matter which are distinguished not by the symmetries they break, but rather by the patterns of entanglement within them. Although these entanglement properties have been widely discussed for ground…

Strongly Correlated Electrons · Physics 2026-02-10 Snigdh Sabharwal , Matthias Gohlke , Paul Skrzypczyk , Nic Shannon

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

Quantum spin liquids are highly entangled magnetic states with exotic properties. The $S = 1/2$ square-lattice Heisenberg model is one of the foundational models in frustrated magnetism with a predicted, but never observed, quantum spin…

Quantum spin liquids (QSLs) are fluid-like states of quantum spins where its long-range ordered state is destroyed by quantum fluctuations. The ground state of QSL and its exotic phenomena, which have been extensively discussed for decades,…

Strongly Correlated Electrons · Physics 2011-10-25 Minoru Yamashita , Takasada Shibauchi , Yuji Matsuda

In frustrated magnetic systems, geometric constraints or the competition amongst interactions introduce extremely high degeneracy and prevent the system from readily selecting a low-temperature ground state. The most frustrated known spin…

Strongly Correlated Electrons · Physics 2016-11-23 Darren C. Peets , Hasung Sim , Maxim Avdeev , Je-Geun Park

The Ce$_2$X$_2$O$_7$ (X=Sn, Hf, Zr) family of cubic pyrochlores has emerged as one of the most promising classes of Quantum Spin Ice candidates. However, understanding their microscopic exchange Hamiltonian and spin correlations has been…

Strongly Correlated Electrons · Physics 2026-01-29 Bo Yuan , M. Powell , X. Liu , J. Ni , E. M. Smith , F. Ye , J. Dudemaine , A. D. Bianchi , J. W. Kolis , B. D. Gaulin

Alkali superoxides differ from conventional transition metal magnets, exhibit magnetism from partially occupied oxygen molecular $\pi^*$-orbitals. Among them, CsO$_2$ stands out for its potential to exhibit novel quantum collective…

Strongly Correlated Electrons · Physics 2024-11-12 Ryota Ono , Ravi Kaushik , Sergey Artyukhin , Martin Jansen , Igor Solovyev , Russell A. Ewings

In the search for realizations of Quantum Spin Liquids (QSL), it is essential to understand the interplay between inherent disorder and the correlated fluctuating spin ground state. H$_3$LiIr$_2$O$_6$ is regarded as a spin liquid proximate…

Strongly Correlated Electrons · Physics 2024-07-11 A. de la Torre , B. Zager , F. Bahrami , M. H. Upton , J. Kim , G. Fabbris , G. -H. Lee , W. Yang , D. Haskel , F. Tafti , K. W. Plumb

The honeycomb-lattice cobaltate Na$_3$Co$_2$SbO$_6$ has recently been proposed to be a proximate Kitaev quantum spin liquid~(QSL) candidate. However, non-Kitaev terms in the Hamiltonian lead to a zigzag-type antiferromagnetic~(AFM) order at…

Quantum spin liquid (QSL) is a novel state of matter which refuses the conventional spin freezing even at 0 K. Experimentally searching for the structurally perfect candidates is a big challenge in condensed matter physics. Here we report…

Motivated by the magnetism of pyrochlore oxides, we consider the effect of quantum fluctuations in the most general symmetry-allowed nearest-neighbor Kramers exchange Hamiltonian on the pyrochlore lattice. At the classical level, this…

Strongly Correlated Electrons · Physics 2025-08-12 Lasse Gresista , Daniel Lozano-Gómez , Matthias Vojta , Simon Trebst , Yasir Iqbal