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When magnetic moments are subject to competing or frustrated interactions, continuous degeneracies that are not protected by any symmetry of the parent Hamiltonian can emerge at the classical (mean-field) level. Such "accidental"…

Strongly Correlated Electrons · Physics 2025-05-27 Alexander Hickey , Jeffrey G. Rau , Subhankar Khatua , Michel J. P. Gingras

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

Quantum fluctuations in frustrated systems can lead to the emergence of complex many-body phases. However, the role of quantum fluctuations in frustration-free lattices is less explored and could provide an interesting avenue for exploring…

Quantum Gases · Physics 2024-05-01 Zeki Zeybek , Peter Schmelcher , Rick Mukherjee

The theory of quantum order-by-disorder (QOBD) explains the formation of modulated magnetic states at the boundary between ferromagnetism and paramagnetism in zero field. PrPtAl has been argued to provide an archetype for this. Here, we…

Strongly Correlated Electrons · Physics 2021-05-19 Christopher D. O'Neill , Gino Abdul-Jabbar , Didier Wermeille , Philippe Bourges , Frank Krüger , Andrew D. Huxley

Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the 'deconfined critical points' exhibiting fractionalization of quantum numbers due to Berry phase…

Strongly Correlated Electrons · Physics 2009-11-11 Frank Krüger , Stefan Scheidl

Geometrically frustrated materials have a ground-state degeneracy that may be lifted by subtle effects, such as higher order interactions causing small energetic preferences for ordered structures. Alternatively, ordering may result from…

Statistical Mechanics · Physics 2011-08-03 Yair Shokef , Anton Souslov , Tom C. Lubensky

A highly degenerate family of states [proposed in PRB 63, 134503 (2001)] is proven to really minimize the Hamiltonian of the fully frustrated XY model on a dice lattice. The harmonic fluctuations are shown to be no consequence for the…

Superconductivity · Physics 2009-11-10 S. E. Korshunov

Order by disorder is a decision making process for frustrated systems but often leads to simple answers. We study order by disorder in the kagome Kondo model known for its complexity seeking rich decision making capabilities. At half…

Strongly Correlated Electrons · Physics 2016-11-02 Benjamin O. Sung , Michael J. Lawler

Periodic (Floquet) driving enables Hamiltonian engineering and nonequilibrium phases, but interacting systems eventually heat by absorbing energy from the drive. Disorder can greatly delay this process, yielding long-lived prethermal…

Quantum Physics · Physics 2026-04-07 Cooper M. Selco , Christian Bengs , Chaitali Shah , Ashok Ajoy

Fluctuation-dominated phase ordering refers to a steady state in which the magnitude of long-range order varies strongly owing to fluctuations, and to the associated coarsening phenomena during the approach to steady state. Strong…

Statistical Mechanics · Physics 2023-07-21 Mustansir Barma

Motivated by recent experiments on vanadium spinels, $A$V$_2$O$_4$, that show an increasing degree of electronic delocalization for smaller cation sizes, we study the evolution of orbital ordering (OO) between the strong and…

Strongly Correlated Electrons · Physics 2012-08-13 Yasuyuki Kato , Gia-Wei Chern , K. A. Al-Hassanieh , Natalia B. Perkins , C. D. Batista

We study the order parameter of a quasi-2D gas of ultracold atoms trapped in an optical potential in the presence of controllable disorder. Our results show that disorder drives phase fluctuations without significantly affecting the…

Quantum Gases · Physics 2012-09-03 M. C. Beeler , M. E. W. Reed , T. Hong , S. L. Rolston

Orbitally ordered states exhibit unique features which make them a promising platform for exploring the ultrafast dynamics of long-range order in solids: Their free energy typically has multiple discrete minima, and electric laser fields or…

Strongly Correlated Electrons · Physics 2021-06-23 Francesco Grandi , Martin Eckstein

The quench dynamics of systems exhibiting cooperative or almost competitive orders in equilibrium are explored using Ginzburg-Landau theory plus fluctuations. We show that when the renormalization of the free energy by fluctuations is taken…

Strongly Correlated Electrons · Physics 2025-08-18 Francesco Grandi , Antonio Picano , Ronny Thomale , Dante M. Kennes , Martin Eckstein

Both quantum phase transitions and thermodynamic phase transitions are probably induced by fluctuations, yet the specific mechanism through which fluctuations cause phase transitions remains unclear in existing theories. This paper…

Statistical Mechanics · Physics 2025-05-13 Yonglong Ding

Entropic forces in classical many-body systems, e.g. colloidal suspensions, can lead to the formation of new phases. Quantum fluctuations can have similar effects: spin fluctuations drive the superfluidity of Helium-3 and a similar…

Strongly Correlated Electrons · Physics 2018-05-23 Andrew G. Green , Gareth Conduit , Frank Kruger

The superconducting state typically favors a uniform spatial distribution akin to ferromagnetism. Nevertheless, the pair-density-wave state exhibits sign changes in the pairing order, leading to potential frustrations in phase coherence.We…

Superconductivity · Physics 2024-12-31 Zhiming Pan , Chen Lu , Fan Yang , Congjun Wu

According to empirical observations, some pattern formation phenomena in driven many-particle systems are more pronounced in the presence of a certain noise level. We investigate this phenomenon of fluctuation-driven ordering with a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Tadeusz Platkowski

We study the problem of partially ordered phases with periodically arranged disordered (paramagnetic) sites on the pyrochlore lattice, a network of corner-sharing tetrahedra. The periodicity of these phases is characterized by one or more…

Strongly Correlated Electrons · Physics 2016-01-19 Behnam Javanparast , Zhihao Hao , Matthew Enjalran , Michel J. P. Gingras

A model of the premelting fluctuations is proposed, based on the Landau mean field theory applied to a first-order phase transition. Using the thermodynamic potential, the nonlinear Langevin equation for the order parameter is formulated,…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Pavel Golovinski