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Motivated by puzzling spin-glass behaviors observed in many pyrochlore-based magnets, effects of magnetoelastic coupling to local lattice distortions were recently studied by the authors for a bond-disordered antiferromagnet on a pyrochlore…

Strongly Correlated Electrons · Physics 2013-07-25 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

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

Motivated by the experimental realization of quantum spin models of polar molecule KRb in optical lattices, we analyze the spin 1/2 dipolar Heisenberg model with competing anisotropic, long-range exchange interactions. We show that, by…

Quantum Gases · Physics 2017-08-03 Haiyuan Zou , Erhai Zhao , W. Vincent Liu

We present exact diagonalisation calculations for the spin-1/2 nearest neighbour antiferromagnet on the pyrochlore lattice. We study a section of the lattice in the $[111]$ direction and analyse the Hamiltonian of the breathing pyrochlore…

Strongly Correlated Electrons · Physics 2018-05-02 V. Ravi Chandra , Jyotisman Sahoo

We present a finite-temperature theory of the anisotropic spin-spin correlations in magnetic metallic monolayers, deposited on a suitable substrate. The `spins' are the local moments set up by the itinerant electrons, and the key concept is…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. dos Santos Dias , J. B. Staunton , A. Deak , L. Szunyogh

Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the ferromagnetic nearest neighbor spin ice model proposed by Harris {\it et al.}, Phys.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michel J. P. Gingras , Byron C. den Hertog

Frustrated magnetism in the pyrochlore lattice magnet has proven to be a most fruitful setting for the experimental and theoretical search for spin liquids. Besides the canonical case of spin ice, recent works have identified a variety of…

Strongly Correlated Electrons · Physics 2025-04-03 Daniel Lozano-Gómez , Owen Benton , Michel J. P. Gingras , Han Yan

The pyrochlore lattice Heisenberg antiferromagnet has a massive classical ground state degeneracy. We summarize three approximation schemes, valid for large spin length $S$, to capture the (partial) lifting of this degeneracy when…

Strongly Correlated Electrons · Physics 2015-06-25 Uzi Hizi , Christopher L. Henley

We address the decoherence of a localized electron spin in an external magnetic field due to the hyperfine interaction with a lattice of nuclear spins. Using a completely non-perturbative method, rigorous bounds on the T_1 and T_2 coherence…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Neil Shenvi , Rogerio de Sousa , K. Birgitta Whaley

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

We propose a new model for the nature of the low temperature phase of a geometrically frustrated antiferromgnet (AFM) with a Kagome lattice, SrCr$_{8-x}$Ga$_{4+x}$O$_{19}$. We propose that the long-range dipolar interaction between the…

Condensed Matter · Physics 2007-05-23 Nir Gov

Recent experiments suggest that the Ising pyrochlore magnets ${\rm Ho_{2}Ti_{2}O_{7}}$ and ${\rm Dy_{2}Ti_{2}O_{7}}$ display qualitative properties of the spin ice model proposed by Harris {\it et al.} \prl {\bf 79}, 2554 (1997). We discuss…

Disordered Systems and Neural Networks · Physics 2009-10-31 Byron C. den Hertog , Michel J. P. Gingras

Pyrochlore magnets are candidates for spin-ice behavior. We present theoretical simulations of relevance for the pyrochlore family R2Ti2O7 (R= rare earth) supported by magnetothermal measurements on selected systems. By considering long…

Statistical Mechanics · Physics 2009-10-31 R. Siddharthan , B. S. Shastry , A. P. Ramirez , A. Hayashi , R. J. Cava , S. Rosenkranz

Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments. We here study the spin-one local moments on the pyrochlore lattice, and propose a generic interacting spin model on a pyrochlore lattice. Our spin model…

Strongly Correlated Electrons · Physics 2018-07-11 Fei Ye Li , Gang Chen

The intrinsic noncollinear spin patterns in rare-earth pyrochlore are physically interesting, hosting many emergent properties, e.g. spin ice and monopole-type excitation. Recently, the magnetic monopole excitation of spin ice systems was…

Materials Science · Physics 2015-12-18 Lin Lin , Y. L. Xie , J. -J. Wen , Shuai Dong , Z. B. Yan , J. -M. Liu

We use linked cluster series expansion methods to estimate the values of various short distance correlation functions in $S=1/2$ Heisenberg antiferromagnets at T=0, for dimension $d=1,2,3$. The method incorporates the possibility of…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , J. Oitmaa

The recent identification of the dysprosium titanate compound $Dy_2 Ti_2 O_7$ as a ``Spin-Ice'', i.e. the spin analog of regular entropic ice of Pauling, has created considerable excitement. The ability to manipulate spins using magnetic…

Statistical Mechanics · Physics 2009-11-07 B. Sriram Shastry

The classical bilinear-biquadratic nearest-neighbor Heisenberg antiferromagnet on the pyrochlore lattice does not exhibit conventional Neel-type magnetic order at any temperature or magnetic field. Instead spin correlations decay…

Strongly Correlated Electrons · Physics 2010-05-18 Nic Shannon , Karlo Penc , Yukitoshi Motome

In doped lamellar cuprates, localized holes create ferromagnetic bonds and cause spin canting similar to that caused by magnetic dipoles. At low temperatures, these dipoles are frozen, behaving like quenched correlated random fields.…

Condensed Matter · Physics 2007-05-23 I. Ya. Korenblit , V. Cherepanov , Amnon Aharony , O. Entin-Wohlman

Interplay of spin-orbit coupling and vibronic coupling on heavy $d^1$ site of cubic double perovskites is investigated by ab initio calculations. The stabilization energy of spin-orbital-lattice entangled states is found comparable to or…

Strongly Correlated Electrons · Physics 2018-08-23 Naoya Iwahara , Veacheslav Vieru , Liviu F. Chibotaru