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We present a spin-1/2 bilayer model for the quantum order-disorder transition which (i) can be solved by mean-field theory for bulk quantities, (ii) becomes critical at the transition, and (iii) allows to include intralayer frustration. We…

Condensed Matter · Physics 2009-10-28 C. Gros , W. Wenzel , J. Richter

We overview some recent work and present new results on the ground state properties and the spectrum of excitations of the two-dimensional frustrated Heisenberg antiferromagnet. Spontaneous dimer order is present in the quantum disordered…

Strongly Correlated Electrons · Physics 2018-07-11 Valeri N. Kotov , Jaan Oitmaa , Oleg Sushkov , Zheng Weihong

Competing interactions in frustrated magnets can give rise to highly degenerate ground states from which correlated liquid-like states of matter often emerge. The scaling of this degeneracy influences the ultimate ground state, with…

We report neutron scattering and muon spin relaxation measurements (muSR) on the pyrochlore antiferromagnet Yb2Ge2O7. Inelastic neutron scattering was used to probe the transitions between crystal electric field levels, allowing us to…

We examine a novel type of disorder in quantum antiferromagnets. Our model consists of localized spins with antiferromagnetic exchanges on a bipartite quasiperiodic structure, which is geometrically disordered in such a way that no…

Strongly Correlated Electrons · Physics 2015-05-13 Attila Szallas , Anuradha Jagannathan , Stefan Wessel

The available results from the inelastic neutron scattering experiment performed on the quasi-two dimensional spin $\frac{1}{2}$ anti-ferromagnetic material $La_2 Cu O_4$ have been analysed theoretically. The formalism of ours is based on a…

Strongly Correlated Electrons · Physics 2016-09-26 Subhajit Sarkar , Ranjan Chaudhury , Samir K. Paul

The properties of S = 1 anisotropic Heisenberg models with nondiagonal exchange between axial and planar spin components are investigated using Monte Carlo techniques. The quantum nature is taken into account in a semi-classical…

Condensed Matter · Physics 2009-10-31 M. Pleimling

The quantum dimer magnet, with antiferromagnetic intradimer and interdimer Heisenberg exchange between spin-1/2 moments, is known to host an up/down - down/up singlet ground state when the intradimer exchange is dominant. Rare-earth-based…

Strongly Correlated Electrons · Physics 2025-09-10 A. Brassington , Q. Ma , G. Duan , S. Calder , A. I. Kolesnikov , K. M. Taddei , G. Sala , E. S. Choi , H. Wang , W. Xie , B. A. Frandsen , N. Li , X. F. Sun , C. Liu , R. Yu , H. D. Zhou , A. A. Aczel

We investigate spin systems with extensive degeneracies in the classical ground states due to anisotropic frustrated spin interactions, where the degeneracy is not protected by symmetry. Using spin functional integration, we study the…

Strongly Correlated Electrons · Physics 2025-10-08 Peng Rao , Johannes Knolle

Recent numerical results [Gonzalez $\textit{et al.}$, Phys. Rev. Lett. $\textbf{122}$, 017201 (2019); Shimada $\textit{et al.}$, J. Phys. Conf. Ser. $\textbf{969}$, 012126 (2018)] point to the existence of a partial-disorder ground state…

Strongly Correlated Electrons · Physics 2019-05-02 Urban F. P. Seifert , Matthias Vojta

The effective quantum pseudospin-1/2 model for interacting rare-earth magnetic moments, which are locally described with atomic doublets, is studied theoretically for magnetic pyrochlore oxides. It is derived microscopically for localized…

Strongly Correlated Electrons · Physics 2015-03-17 Shigeki Onoda , Yoichi Tanaka

The search for new quantum phases, especially in frustrated magnets, is central to modern condensed matter physics. One of the most promising places to look is in rare-earth pyrochlore magnets with highly-anisotropic exchange interactions,…

Strongly Correlated Electrons · Physics 2017-03-29 Han Yan , Owen Benton , Ludovic D. C. Jaubert , Nic Shannon

Continuous quantum phase transitions involving all-in-all-out (AIAO) antiferromagnetic order in strongly spin-orbit-coupled 5d compounds could give rise to various exotic electronic phases and strongly-coupled quantum critical phenomena.…

Strongly Correlated Electrons · Physics 2020-07-01 Yishu Wang , T. F. Rosenbaum , D. Prabhakaran , A. T. Boothroyd , Yejun Feng

We investigate theoretically the phase diagram of a classical Heisenberg antiferromagnet on the pyrochlore lattice perturbed by a weak second-neighbor interaction J_2. The huge ground state degeneracy of the nearest-neighbor Heisenberg…

Strongly Correlated Electrons · Physics 2009-07-17 Gia-Wei Chern , R. Moessner , O. Tchernyshyov

Heisenberg-type spin-chain materials have been extensively studied over the years, yet not much is known about their behavior in the presence of disorder. Starting from BaCu$_2$Si$_2$O$_7$, a typical spin-1/2 chain system, we investigate a…

Strongly Correlated Electrons · Physics 2023-10-24 T. Shiroka , F. Eggenschwiler , H. -R. Ott , J. Mesot

We study in this paper the Heisenberg antiferromagnet with nearest neighbours interactions on the Husimi cactus, a system which has locally the same topology as the Kagom\'e lattice. This system has a huge classical degeneracy corresponding…

Statistical Mechanics · Physics 2009-10-31 B. Doucot , P. Simon

We study the ground-state phase diagram of a one-dimensional spin-1/2 easy-plane XXZ model with a ferromagnetic nearest-neighbor (NN) coupling $J_1$ and a competing next-nearest-neighbor (NNN) antiferromagnetic coupling $J_2$ in the…

Strongly Correlated Electrons · Physics 2010-03-30 Shunsuke Furukawa , Masahiro Sato , Akira Furusaki

Ever since the experiments which founded the field of highly frustrated magnetism, the kagome Heisenberg antiferromagnet has been the archetypical setting for the study of fluctuation induced exotic ordering. To this day the nature of its…

Strongly Correlated Electrons · Physics 2013-02-19 Gia-Wei Chern , R. Moessner

Entanglement underpins quantum information processing and computing, yet its experimental quantification in complex, many-body condensed matter systems remains a considerable challenge. Here, we reveal a highly entangled electronic phase…

We consider quantum phases of tightly-confined spin-2 bosons in an external field under the presence of rotationally-invariant interactions. Generalizing previous treatments, we show how this system can be mapped onto a quantum rotor model.…

Quantum Gases · Physics 2016-08-10 Matjaž Payrits , Ryan Barnett