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The classical Heisenberg antiferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Bellier-Castella , M. J. P. Gingras , P. C. W. Holdsworth , R. Moessner

Pyrochlore materials are characterized by their hallmark network of corner-sharing rare-earth tetrahedra, which can produce a wide array of complex magnetic ground states. Ferromagnetic Ising pyrochlores often obey the "two-in-two-out" spin…

We study the uniform $U(1)$ quantum spin liquid (QSL) with low-energy fermionic quasiparticles for pyrochlore magnets with dipolar-octupolar symmetry, employing a fermionic parton mean field theory approach. Self-consistent calculations…

Strongly Correlated Electrons · Physics 2023-12-07 Krushna Chandra Sahu , Sambuddha Sanyal

Triangular lattice of rare-earth ions with interacting effective spin-$1/2$ local moments is an ideal platform to explore the physics of quantum spin liquids (QSLs) in the presence of strong spin-orbit coupling, crystal electric fields, and…

Spin liquids are quantum phases of matter that exhibit a variety of novel features associated with their topological character. These include various forms of fractionalization - elementary excitations that behave as fractions of an…

Strongly Correlated Electrons · Physics 2020-01-20 C. Broholm , R. J. Cava , S. A. Kivelson , D. G. Nocera , M. R. Norman , T. Senthil

We study low energy excitations in the quantum breathing pyrochlore antiferromagnet Ba$_3$Yb$_2$Zn$_5$O$_{11}$ by combination of inelastic neutron scattering (INS) and thermodynamical properties measurements. The INS spectra are…

Strongly Correlated Electrons · Physics 2016-06-29 T. Haku , K. Kimura , Y. Matsumoto , M. Soda , M. Sera , D. Yu , R. A. Mole , T. Takeuchi , S. Nakatsuji , Y. Kono , T. Sakakibara , L. -J. Chang , T. Masuda

It is experimentally demonstrated that an arbitrary quantum state of a single spin 1/2: a|u> + b|d> can be converted into a superposition of the two ferromagnetic states of a spin cluster: a|uu...uu> + b|dd...dd>. The physical system is a…

Quantum Physics · Physics 2007-05-23 Jae-Seung Lee , A. K. Khitrin

We report a random singlet ground state in the $S=\frac{1}{2}$ Heisenberg pyrochlore antiferromagnet NaCdCu$_2$F$_7$. Cationic Na$^+$/Cd$^{2+}$ disorder on the pyrochlore $A$ site generates a broad distribution of…

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

Strongly Correlated Electrons · Physics 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the antiferromagnetic ground state. We give two different…

Condensed Matter · Physics 2009-10-22 Vladimir E. Korepin , Anatoli G. Izergin , Fabian H. L. Essler , Denis B. Uglov

Entanglement sharing among pairs of spins in Heisenberg antiferromagnets is investigated using the concurrence measure. For a nondegenerate S=0 ground state, a simple formula relates the concurrence to the diagonal correlation function. The…

Quantum Physics · Physics 2009-11-10 V. Subrahmanyam

The competition between antiferromagnetic and spin-singlet ground states within quantum spin models and the 1/2-filled band Hubbard model has received intense scrutiny. Here we demonstrate a frustration-induced transition from N\'{e}el…

Strongly Correlated Electrons · Physics 2014-07-28 H. Li , R. T. Clay , S. Mazumdar

In the classical pyrochlore lattice Heisenberg antiferromagnet, there is a macroscopic continuous ground state degeneracy. We study semiclassical limit of large spin length $S$, keeping only the lowest order (in 1/S) correction to the…

Strongly Correlated Electrons · Physics 2007-05-23 U. Hizi , C. L. Henley

Recent neutron scattering measurements on the spinel CdCr2O4 revealed a rare example of helical magnetic order in geometrically frustrated pyrochlore antiferromagnet. The spin spiral characterized by an incommensurate wavevector Q = 2pi (0,…

Strongly Correlated Electrons · Physics 2013-02-19 Eunsong Choi , Gia-Wei Chern , Natalia Perkins

Low dimensional quantum magnets are interesting because of the emerging collective behavior arising from strong quantum fluctuations. The one-dimensional (1D) S = 1/2 Heisenberg antiferromagnet is a paradigmatic example, whose low-energy…

We report measurements performed on a polycrystalline sample of the pyrochlore compound Nd2Sn2O7. It undergoes a second order magnetic phase transition at Tc ~ 0.91 K to a noncoplanar all-in-all-out magnetic structure of the Nd3+ magnetic…

Strongly Correlated Electrons · Physics 2015-11-04 A. Bertin , P. Dalmas de Reotier , B. Fak , C. Marin , A. Yaouanc , A. Forget , D. Sheptyakov , B. Frick , C. Ritter , A. Amato , C. Baines , P. J. C. King

All interpretations of extensive magnetic neutron scattering data in the cited paper are at fault [Phys. Rev. X 12, 021015]. For, the expressions for scattered intensities therein do not contain the cerium multipole whose likely…

Strongly Correlated Electrons · Physics 2022-09-08 S. W. Lovesey

Continuum of spin excitations observed in inelastic neutron scattering experiments are often considered as a strong evidence of quantum spin liquid formation. When quantum spin liquid is indeed the ground state of a disorder-free magnetic…

Strongly Correlated Electrons · Physics 2025-04-15 Jieming Sheng , Le Wang , Wenrui Jiang , Han Ge , Nan Zhao , Tiantian Li , Maiko Kofu , Dehong Yu , Wei Zhu , Jia-Wei Mei , Zhentao Wang , Liusuo Wu

The low-temperature fate of the spin-liquid regime in the classical kagome Heisenberg antiferromagnet has been debated for over three decades. Using an expansion in the number of spin components, we show that, contrary to earlier Monte…

Strongly Correlated Electrons · Physics 2026-05-27 Cecilie Glittum , Olav F. Syljuåsen

We use large-scale density-matrix renormalization group simulations with bond dimensions up to $20\ 000$ to determine the magnetization curves of spin-1 and spin-$\tfrac{3}{2}$ pyrochlore Heisenberg antiferromagnets. Both models exhibit a…

Strongly Correlated Electrons · Physics 2026-02-19 Imre Hagymási
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