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Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. % As in many Fully Frustrated Lattices, the constraint due to the…

强关联电子 · 物理学 2009-11-07 Benjamin Canals , Dmitry Garanin

Fractionalization remains one of the most fascinating manifestations of strong interactions in quantum many-body systems. In quantum magnetism, the existence of spinons -- collective magnetic excitations that behave as quasiparticles with…

强关联电子 · 物理学 2025-07-31 N. E. Shaik , E. Fogh , B. Dalla Piazza , B. Normand , D. Ivanov , H. M. Rønnow

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

强关联电子 · 物理学 2014-05-28 B. Normand , Z. Nussinov

The quantum antiferromagnet on the pyrochlore lattice offers an archetypal frustrated system, which potentially realizes a quantum spin liquid characterized by the absence of standard spontaneous symmetry breaking even at zero temperature,…

强关联电子 · 物理学 2023-11-21 Rico Pohle , Youhei Yamaji , Masatoshi Imada

At zero temperature, the classical antiferromagnetic Ising model on the pyrochlore lattice is a spin disorder phase of the critical spin correlation. It is a deconfined phase in that the binding energy of the monopole-anti-monopole pair is…

强关联电子 · 物理学 2010-08-30 Chyh-Hong Chern , Chen-Nan Liao , Yang-Zhi Chou

We use Monte Carlo methods to study spinons in two-dimensional quantum spin systems, characterizing their intrinsic size $\lambda$ and confinement length $\Lambda$. We confirm that spinons are deconfined, $\Lambda \to \infty$ and $\lambda$…

强关联电子 · 物理学 2013-07-10 Ying Tang , Anders W. Sandvik

We introduce an entanglement entropy analysis to quantitatively identify the confinement and deconfinement of the spinons in the spin excitations of quantum magnets. Our proposal is implemented by the parton construction of a…

强关联电子 · 物理学 2021-12-01 Zhao-Yang Dong , Wei Wang , Zhao-Long Gu , Jian-Xin Li

Using series expansion based on the flow equation method we study the zero temperature properties of the spin-1/2 planar pyrochlore antiferromagnet in the limit of strong diagonal coupling. Starting from the limit of decoupled crossed…

强关联电子 · 物理学 2013-05-29 Marcelo Arlego , Wolfram Brenig

We study the level structure of excitations at the "deconfined" critical point separating antiferromagnetic and valence-bond-solid phases in two-dimensional quantum spin systems using the $J$-$Q$ model as an example. Energy gaps in…

强关联电子 · 物理学 2016-10-18 Hidemaro Suwa , Arnab Sen , Anders W. Sandvik

The ground state ensemble of the highly frustrated pyrochlore-lattice antiferromagnet can be mapped to a coarse-grained ``polarization'' field satisfying a zero-divergence condition From this it follows that the correlations of this field,…

统计力学 · 物理学 2009-11-10 C. L. Henley

We study a model of strongly correlated S=1/2 fermions on the planar pyrochlore, or checkerboard, lattice, at fractional (1/8) filling. Starting with the extended Hubbard model in the limit of strong Coulomb repulsion, low-energy…

强关联电子 · 物理学 2008-11-13 F. Trousselet , D. Poilblanc , R. Moessner

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…

强关联电子 · 物理学 2018-07-11 Fei Ye Li , Gang Chen

We study the low-temperature behaviour of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. Because of geometrical frustration, the ground state of this model has an extensive number of…

统计力学 · 物理学 2009-10-30 R. Moessner , J. T. Chalker

Observing constituent particles with fractional quantum numbers in confined and deconfined states is an interesting and challenging problem in quantum many-body physics. Here we further explore a computational scheme [Y. Tang and A. W.…

强关联电子 · 物理学 2016-01-05 Ying Tang , Anders W. Sandvik

Motivated by puzzling characteristics of spin-glass transitions widely observed in pyrochlore-based frustrated materials, we investigate effects of coupling to local lattice distortions in a bond-disordered antiferromagnet on the pyrochlore…

强关联电子 · 物理学 2011-07-22 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin $S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By employing the pseudofermion functional…

The idea of confinement states that in certain systems constituent particles can be discerned only indirectly being bound by an interaction whose strength increases with increasing particle separation. Though the most famous example is the…

强关联电子 · 物理学 2009-12-06 B. Lake , A. M. Tsvelik , S. Notbohm , D. A. Tennant , T. G. Perring , M. Reehuis , C. Sekar , G. Krabbes , B. Büchner

We investigate the consequences for geometrically frustrated antiferromagnets of weak disorder in the strength of exchange interactions. Taking as a model the classical Heisenberg antiferromagnet with nearest neighbour exchange on the…

强关联电子 · 物理学 2007-05-23 T. E. Saunders , J. T. Chalker

Using Random Phase Approximation, we show that a crossed-chains model of a spin-1/2 Heisenberg spins, with frustrated interchain couplings, has a non-dimerized spin-liquid ground state in 2D, with deconfined spinons as the elementary…

强关联电子 · 物理学 2009-11-07 Oleg A. Starykh , Rajiv R. P. Singh , Gregory C. Levine

We investigate the influence of spin polarization in strongly interacting matter by introducing a finite spin potential, $\mu_\Sigma$, which effectively controls the spin density of the system without requiring rotation or specific boundary…

高能物理 - 唯象学 · 物理学 2025-09-17 Ricardo L. S. Farias , William R. Tavares
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