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We investigate the spin-$1/2$ Heisenberg antiferromagnet on the ruby lattice with uniform first- and second-neighbor interactions, which forms a two-dimensional network of corner-sharing tetrahedra. Using infinite projected entangled pair…

Strongly Correlated Electrons · Physics 2025-12-17 Pratyay Ghosh , Frédéric Mila

The quest for exotic quantum magnetic ground states, including the Kitaev spin liquid and quantum spin-ices, has led to the discovery of several quantum materials where low energy pseudospin-$1/2$ doublets arise from the splitting of…

Strongly Correlated Electrons · Physics 2024-03-26 Sreekar Voleti , F David Wandler , Arun Paramekanti

A formation of tetrahedral spin clusters is discovered by Monte Carlo simulation for a spin-ice type double-exchange model on a pyrochlore lattice. The spin-cluster phase is magnetically disordered, but breaks spatial inversion symmetry…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Yukitoshi Motome

The ground state of the multiple-spin exchange model with up to the six-spin exchange interactions on a triangular lattice in the magnetic field is investigated within the mean-field approximation. By comparing the phase diagrams of systems…

Strongly Correlated Electrons · Physics 2019-01-24 Chitoshi Yasuda , Yuma Uchihira , Shogo Taira , Kenn Kubo

Magnetic order in most materials occurs when magnetic ions with finite moments in a crystalline lattice arrange in a particular pattern below the ordering temperature determined by exchange interactions between the ions. However, when the…

Rare-earth materials hold promise to realize exotic magnetic states owing to synergy between electron correlations and spin-orbit coupling. Recently, quasi-two-dimensional honeycomb magnets $A_2$PrO$_3$ ($A$ = alkali metals) were predicted…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

We present a detailed symmetry analysis of the degeneracy lifting due to higher order spin exchanges in the pyrochlore lattice in applied magnetic field. Under the assumption of the 4 sublattice ordering, the criteria for a stable…

Strongly Correlated Electrons · Physics 2007-05-23 Karlo Penc , Nic Shannon , Yukitoshi Motome , Hiroyuki Shiba

The ground state property of the alternating spin ladder is studied in the case that the system involves an antiferromagnetic intra-chain interaction as well as two kinds of inter-chain interactions; one is between spins of the same…

Strongly Correlated Electrons · Physics 2009-10-31 A. Satou , Y. O. Nakamura

We study the classical ground states of the exchange-coupled Heisenberg antiferromagnet on the Pyrochlore lattice, a non-Bravais lattice made of corner-sharing tetrahedra. In particular, we map out the entire phase diagram for the case of…

Strongly Correlated Electrons · Physics 2012-10-26 Matthew F. Lapa , Christopher L. Henley

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Geometrical frustration is a central challenge in contemporary condensed matter physics, a crucible favourable to the emergence of novel physics. The pyrochlore magnets, with rare earth magnetic moments localized at the vertices of…

Strongly Correlated Electrons · Physics 2015-05-30 Sylvain Petit , Pierre Bonville , Isabelle Mirebeau , Hannu Mutka , Julien Robert

We study the decoherence of two ferro- and antiferromagnetically coupled spins that interact with a frustrated spin-bath environment in its ground state. The conditions under which the two-spin system relaxes from the initial spin-up -…

Other Condensed Matter · Physics 2007-11-15 S. Yuan , M. I. Katsnelson , H. De Raedt

Triplet excitonic state in the organic molecule may arise from a singlet excitation and the following inter-system crossing. Especially for a spin-bearing molecule, an exchange interaction between the triplet exciton and the original spin…

Quantum Physics · Physics 2014-06-12 Wei Wu

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

Strongly Correlated Electrons · Physics 2015-12-08 Owen Benton , Nic Shannon

We explore the influence of contact interactions on a synthetically spin-orbit coupled system of two ultracold trapped atoms. Even though the system we consider is bosonic, we show that a regime exists in which the competition between the…

Quantum Gases · Physics 2020-02-03 Ayaka Usui , Thomás Fogarty , Steve Campbell , Simon A. Gardiner , Thomas Busch

We report the low temperature magnetic properties of Ce$_2$Sn$_2$O$_7$, a rare-earth pyrochlore. Our susceptibility and magnetization measurements show that due to the thermal isolation of a Kramers doublet ground state, Ce$_2$Sn$_2$O$_7$…

Strongly Correlated Electrons · Physics 2016-08-15 Romain Sibille , Elsa Lhotel , Vladimir Pomjakushin , Chris Baines , Tom Fennell , Michel Kenzelmann

CeFe$_2$ is a geometrically frustrated ferromagnet that lies close to an instability at which a subtle change in the lattice symmetry couples to a transition to antiferromagnetism. We use x-ray diffraction, diamond-anvil-cell techniques,…

Strongly Correlated Electrons · Physics 2012-08-07 Jiyang Wang , Yejun Feng , R. Jaramillo , Jasper van Wezel , P. C. Canfield , T. F. Rosenbaum

Unconventional anomalous Hall effect in frustrated pyrochlore oxides is originated from spin chirality of non-coplanar localized spins, which can also be induced by the competition between ferromagnetic (FM) double exchange interaction…

Strongly Correlated Electrons · Physics 2013-03-19 G. P. Zhang , Jian Zhang , Qi-Li Zhang , Jiang-Tao Zhou , M. H. Shangguan

We consider a mixture of two species of spin-1 atoms with interspecies spin exchange, which may cooperate or compete with the intraspecies spin exchanges and thus dramatically affect the ground state. It represents a new class of bosonic…

Quantum Gases · Physics 2015-05-14 Yu Shi

The ground state of the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model…

Strongly Correlated Electrons · Physics 2009-11-07 Hirokazu Tsunetsugu