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Related papers: State selection in frustrated magnets

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We consider a system of spins on the sites of a three-dimensional pyrochlore lattice of corner-sharing tetrahedra interacting with a predominant effective $xy$ exchange. In particular, we investigate the selection of a long-range ordered…

Statistical Mechanics · Physics 2015-06-22 Behnam Javanparast , Alexander G. R. Day , Zhihao Hao , Michel J. P. Gingras

The interplay between frustration and quantum fluctuation in magnetic systems is known to be the origin of many exotic states in condensed matter physics. In this paper, we consider a frustrated four-leg spin tube under a magnetic field.…

Strongly Correlated Electrons · Physics 2015-03-11 X. Plat , Y. Fuji , S. Capponi , P. Pujol

Frustrated magnets typically possess a large space of classical ground states. If this degeneracy is not protected by symmetry, thermal fluctuations may `select' certain states via order-by-disorder. In this article, we examine a precursor…

Strongly Correlated Electrons · Physics 2024-04-02 Alwyn Jose Raja , R. Ganesh

Frustrated magnets can have accidental ground state degeneracies which may be lifted by various forms of disorder, for example in the form of thermal or quantum fluctuations. This order by disorder (ObD) paradigm is well established in…

Statistical Mechanics · Physics 2024-03-27 Hui-Ke Jin , Johannes Knolle

In frustrated magnetic systems with a subextensive number of classical ground states, quantum zero-point fluctuations can select a unique long-range ordered state, a celebrated phenomenon referred to as \emph{order by quantum disorder}…

Strongly Correlated Electrons · Physics 2026-04-13 Subhankar Khatua , Griffin C. Howson , Michel J. P. Gingras , Jeffrey G. Rau

We identify and discuss the ground state of a quantum magnet on a triangular lattice with bond-dependent Ising-type spin couplings, that is, a triangular analog of the Kitaev honeycomb model. The classical ground-state manifold of the model…

Strongly Correlated Electrons · Physics 2015-11-24 George Jackeli , Adolfo Avella

Competing interactions in Quantum Materials induce novel states of matter such as frustrated magnets, an extensive field of research both from the theoretical and experimental perspectives. Here, we show that competing energy scales present…

Strongly Correlated Electrons · Physics 2020-07-16 J. Herbrych , J. Heverhagen , G. Alvarez , M. Daghofer , A. Moreo , E. Dagotto

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

Accidental ground state degeneracies -- those not a consequence of global symmetries of the Hamiltonian -- are inevitably lifted by fluctuations, often leading to long-range order, a phenomenon known as "order-by-disorder" (ObD). The…

Strongly Correlated Electrons · Physics 2023-07-07 Subhankar Khatua , Michel J. P. Gingras , Jeffrey G. Rau

When magnetic moments (spins) are regularly arranged in a geometry of a triangular motif, the spins may not satisfy simultaneously their interactions with their neighbors. This phenomenon, called frustration, leads to numerous energetically…

Statistical Mechanics · Physics 2015-06-17 I. Klich , S. -H. Lee , K. Iida

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

We study a model of interacting fermions in a disordered potential, which is assumed to generate uniformly fluctuating interaction matrix elements. We show that the ground state magnetization is systematically decreased by off-diagonal…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Philippe Jacquod , A. Douglas Stone

We study theoretically the dynamics of frustrated spin Peierls systems after a quench from the paramagnetic state to the magnetically ordered state. By constructing and numerical simulating a minimal model, we show that it can exhibit a…

Strongly Correlated Electrons · Physics 2025-08-21 Jing Zhou , Yuan Wan

Conclusive evidence of order by disorder is scarce in real materials. Perhaps one of the strongest cases presented has been for the pyrochlore XY antiferromagnet Er2Ti2O7, with the ground state selection proceeding by order by disorder…

Strongly Correlated Electrons · Physics 2016-05-11 Jeffrey G. Rau , Sylvain Petit , Michel J. P. Gingras

A counter-intuitive enhancement of quantum fluctuation with larger spins, together with a few novel physical phenomena, is discovered in studying the recently observed emergent magnetism in high-temperature superconductor FeSe under…

Strongly Correlated Electrons · Physics 2022-09-22 Yuting Tan , Tianyu Zhang , Tao Zou , A. M. dos Santos , Jin Hu , Dao-Xin Yao , Z. Q. Mao , Xianglin Ke , Wei Ku

The existence of definite orders in frustrated quantum systems is related rigorously to the occurrence of fully factorized ground states below a threshold value of the frustration. Ground-state separability thus provides a natural measure…

Statistical Mechanics · Physics 2010-05-21 Salvatore M. Giampaolo , Gerardo Adesso , Fabrizio Illuminati

Kinetic magnetism is an iconic and rare example of collective quantum order that emerges from the interference of paths taken by a hole in a sea of strongly interacting fermions. Here the lattice topology plays a fundamental role, with odd…

Strongly Correlated Electrons · Physics 2026-03-17 Revathy B S , Shovan Dutta

The Kitaev model is a beautiful example of frustrated interactions giving rise to deep and unexpected phenomena. In particular, its classical version has remarkable properties stemming from exponentially large ground state degeneracy. Here,…

Strongly Correlated Electrons · Physics 2020-05-27 Sarvesh Srinivasan , Subhankar Khatua , G. Baskaran , R. Ganesh

We revise the problem of the density of states in disordered superconductors. Randomness of local sample characteristics translates to the quenched spatial inhomogeneity of the spectral gap, smearing the BCS coherence peak. We show that…

Superconductivity · Physics 2013-10-16 M. A. Skvortsov , M. V. Feigel'man

Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

Strongly Correlated Electrons · Physics 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents
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