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Related papers: Floquet Prethermal Order by Disorder

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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

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

Magnets with frustration often show accidental degeneracies, characterized by a large classical ground-state space (CGSS). Quantum fluctuations may `select' one of these ground states -- a phenomenon labeled `order by (quantum) disorder' in…

Strongly Correlated Electrons · Physics 2021-05-13 Subhankar Khatua , Sarvesh Srinivasan , R. Ganesh

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

In frustrated magnetic systems with competing interactions fluctuations can lift the residual accidental degeneracy. We argue that the state selection may have different outcomes for quantum and thermal order by disorder. As an example, we…

Strongly Correlated Electrons · Physics 2020-12-11 R. Schick , T. Ziman , M. E. Zhitomirsky

Order-by-disorder, whereby fluctuations lift an accidental classical ground state degeneracy to stabilize a subset of ordered states, is a recurrent and prominent theme in the field of frustrated magnetism where magnetic moments are subject…

Strongly Correlated Electrons · Physics 2025-05-27 Alexander Hickey , Daniel Lozano-Gómez , Michel J. P. Gingras

We study ordering mechanisms which are induced by the quantum fluctuation in fully frustrated Ising spin systems. Since there are many degenerated states in frustrated systems, "order by thermal disorder" often takes place due to a kind of…

Statistical Mechanics · Physics 2011-04-19 Shu Tanaka , Masaki Hirano , Seiji Miyashita

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

In this paper we study the frustrated J1-J2 quantum Heisenberg model on the square lattice for J2 > 2J1, in a magnetic field. In this regime the classical system is known to have a degenerate manifold of lowest energy configurations, where…

Strongly Correlated Electrons · Physics 2015-07-09 C. A. Lamas , D. C. Cabra , P. Pujol , G. L. Rossini

We argue that collinearly ordered states which exist in strongly frustrated spin systems for special rational values of the magnetization are stabilized by thermal as well as quantum fluctuations. These general predictions are tested by…

Strongly Correlated Electrons · Physics 2009-11-07 A. Honecker , O. A. Petrenko , M. E. Zhitomirsky

The effect of quantum and thermal fluctuations on the phase diagram of spin-2 BECs is examined. They are found to play an important role in the nematic part of the phase diagram, where a mean-field treatment of two-body interactions is…

Other Condensed Matter · Physics 2012-02-23 Ari Turner , Ryan Barnett , Eugene Demler , Ashvin Vishwanath

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

Many-body systems subject to a high-frequency drive can show intriguing thermalization behavior. Prior to heating to a featureless infinite-temperature state, these systems can spend an exponentially long time in prethermal phases…

Statistical Mechanics · Physics 2022-11-15 Hui-Ke Jin , Andrea Pizzi , Johannes Knolle

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

In this study, an order by disorder mechanism has been proposed in a two-dimensional PXP model, where the extensive degeneracy of the classical ground-state manifold is due to strict occupation constraints instead of geometrical…

Strongly Correlated Electrons · Physics 2021-05-26 Mingxi Yue , Zijian Wang , Bhaskar Mukherjee , Zi Cai

The accidental degeneracy of various ground states in a fully frustrated XY model with a honeycomb lattice is shown to survive even when the free energy of the harmonic fluctuations is taken into account. The reason for that consists in the…

Statistical Mechanics · Physics 2009-11-10 S. E. Korshunov , B. Doucot

We demonstrate the appearance of thermal order by disorder in Ising pyrochlores with staggered antiferromagnetic order frustrated by an applied magnetic field. We use a mean-field cluster variational method, a low-temperature expansion and…

The orientational ordering transition is investigated in the quantum generalization of the anisotropic-planar-rotor model in the low temperature regime. The phase diagram of the model is first analyzed within the mean-field approximation.…

Condensed Matter · Physics 2009-10-28 R. Martonak , D. Marx , P. Nielaba

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
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