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Long before the recent fascination with two-dimensional materials, the critical behaviour and universality scaling of phase transitions in low-dimensional systems has been a topic of great interest. Particularly intriguing is the case of…

Magnetism in two-dimensional materials is not only of fundamental scientific interest but also a promising candidate for numerous applications. However, studies so far, especially the experimental ones, have been mostly limited to the…

Mesoscale and Nanoscale Physics · Physics 2017-01-26 Jae-Ung Lee , Sungmin Lee , Ji Hoon Ryoo , Soonmin Kang , Tae Yun Kim , Pilkwang Kim , Cheol-Hwan Park , Je-Geun Park , Hyeonsik Cheong

How a certain ground state of complex physical systems emerges, especially in two-dimensional materials, is a fundamental question in condensed-matter physics. A particularly interesting case is systems belonging to the class of XY…

Mesoscale and Nanoscale Physics · Physics 2019-01-31 Kangwon Kim , Soo Yeon Lim , Jae-Ung Lee , Sungmin Lee , Tae Yun Kim , Kisoo Park , Gun Sang Jeon , Cheol-Hwan Park , Je-Geun Park , Hyeonsik Cheong

The Mermin-Wagner theorem states that long-range magnetic order does not exist in one- or two-dimensional (2D) isotropic magnets with short-ranged interactions. The theorem has been a milestone in magnetism and has been driving the research…

Our experimental (neutron diffraction, M\"ossbauer spectroscopy, magnetic susceptibility, specific heat) and numerical studies on the evolution of short- and long-range magnetic order in $\gamma_{\rm II}$-Li\(_2\)FeSiO\(_4\) suggest a…

Strongly Correlated Electrons · Physics 2025-01-20 W. Hergett , N. Bouldi , M. Jonak , C. Neef , C. Ritter , M. Abdel-Hafiez , F. Seewald , H. -H. Klauss , M. W. -Haverkort , R. Klingeler

We present the results of a muon-spin relaxation (muSR) investigation into magnetic ordering in several families of layered quasi-two-dimensional molecular antiferromagnets based on transition metal ions such as S=1/2 Cu2+ bridged with…

Few-layer CrI$_3$ is the most known example among two-dimensional (2D) ferromagnets, which have attracted growing interest in recent years. Despite considerable efforts and progress in understanding the properties of 2D magnets both from…

Strongly Correlated Electrons · Physics 2021-01-14 I. V. Kashin , V. V. Mazurenko , M. I. Katsnelson , A. N. Rudenko

Monolayer MnO$_2$ is one of the few predicted two-dimensional (2D) ferromagnets that has been experimentally synthesized and is commercially available. The Mermin-Wagner theorem states that magnetic order in a 2D material cannot persist…

Strongly Correlated Electrons · Physics 2022-03-28 Daniel Wines , Kayahan Saritas , Can Ataca

The recent observations of ferromagnetic order in several two-dimensional (2D) materials have generated an enormous interest in the physical mechanisms underlying 2D magnetism. In the present prospective article we show that Density…

Materials Science · Physics 2020-02-18 Thomas Olsen

The recent discovery of two-dimensional (2D) magnets offers unique opportunities for the experimental exploration of low-dimensional magnetism4 and the magnetic proximity effects, and for the development of novel magnetoelectric,…

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

The Mermin-Wagner theorem is strengthened so as to rule out magnetic long-range order at T>0 in one- or two-dimensional Heisenberg and XY systems with long-range interactions decreasing as R^{-alpha} with a sufficiently large exponent…

Statistical Mechanics · Physics 2009-11-07 Patrick Bruno

Magnetic ordering in the two-dimensional limit has been one of the most important issues in condensed matter physics for the past several decades. The recent discovery of new magnetic van der Waals materials heralds a much-needed easy route…

Two-dimensional magnetic materials attract a lot of attention since they potentially exhibit new magnetic properties due to, e.g., strongly enhanced spin fluctuations. However, the suppression of the long-range magnetic order in two…

Strongly Correlated Electrons · Physics 2024-06-25 Michal Kiaba , Andreas Suter , Zaher Salman , Thomas Prokscha , Binbin Chen , Gertjan Koster , Adam Dubroka

The magnetic properties and magnetic structure are presented for CoPS$_3$, a quasi-two-dimensional antiferromagnet on a honeycomb lattice with a N\'eel temperature of $T_N \sim 120$ K. The compound is shown to have XY-like anisotropy in its…

Materials Science · Physics 2017-10-25 A. R. Wildes , V. Simonet , E. Ressouche , R. Ballou , G. J. McIntyre

The role of dipolar interactions and anisotropy are important to obtain, otherwise forbidden, ferromagnetic ordering at finite temperature for ions arranged in two-dimensional (2D) arrays (monolayers). Here we demonstrate that conventional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. K. Mukhopadhyay , M. K. Sanyal , T. Sakakibara , V. Leiner , R. M. Dalgliesh , S. Langridge

We present a combined experimental and theoretical study of the spin-1/2 compound CuP$_2$O$_6$ that features a network of two-dimensional (2D) antiferromagnetic (AFM) square planes, interconnected via one-dimensional (1D) AFM spin chains.…

Quasiperiodic structures possess long range positional order, but are freed of constraints imposed by translational invariance. For spins interacting via Heisenberg couplings, one may expect therefore to find novel magnetic configurations…

Strongly Correlated Electrons · Physics 2008-10-15 Anuradha Jagannathan , Attila Szallas

It is generally argued that Mermin-Wagner theorem excludes the possibility of long-range order in two dimensional bosonic systems at non-zero temperatures. In contrast, we show here that generic bilayer semiconductors could demonstrate true…

Strongly Correlated Electrons · Physics 2025-12-17 Mikhail M. Glazov , Atac Imamoglu

The competition between magnetic order and Kondo effect is essential for the rich physics of heavy fermion systems. Nevertheless, how such competition is manifested in the quasiparticle bands in a real periodic lattice remains elusive in…

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