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Related papers: Breaking through the Mermin-Wagner limit in 2D van…

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It has been long hoped that the realization of long-range ferromagnetic order in two-dimensional (2D) van der Waals (vdW) crystals, combined with their rich electronic and optical properties, would open up new possibilities for magnetic,…

Mesoscale and Nanoscale Physics · Physics 2017-05-02 Cheng Gong , Lin Li , Zhenglu Li , Huiwen Ji , Alex Stern , Yang Xia , Ting Cao , Wei Bao , Chenzhe Wang , Yuan Wang , Z. Q. Qiu , R. J. Cava , Steven G. Louie , Jing Xia , Xiang Zhang

Two-dimensional (2D) magnetism in atomically thin van der Waals (vdW) monolayers and heterostructures has attracted significant attention due to its promising potential for next-generation spintronic and quantum technologies. A key factor…

Materials Science · Physics 2025-08-08 Yusheng Hou , Ruqian Wu

The recent discovery of two-dimensional magnetic order in van-der Waals materials has stimulated a renaissance in the field of atomically-thin magnets. This has led to promising demonstrations of spintronic functionality such as tunneling…

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…

Magnetic order in two-dimensional (2D) materials is intimately coupled to magnetic anisotropy (MA) since the Mermin-Wagner theorem implies that rotational symmetry cannot be spontaneously broken at finite temperatures in 2D. Large MA thus…

Materials Science · Physics 2018-12-21 Daniele Torelli , Thomas Olsen

Ferromagnetism (FM) is the cornerstone of permanent magnets, data storage and other technologies that directly impact our everyday life by their implementation in standard applications and devices. When downscaling bulk materials into their…

Spontaneous magnetic order is a routine instance in three-dimensional (3D) materials but for a long time, it remained elusive in the 2D world. Recently, the first examples of (stand-alone) 2D van der Waals (vdW) crystals with magnetic…

Materials Science · Physics 2021-05-05 M. Blei , J. L. Lado , Q. Song , D. Dey , O. Erten , V. Pardo , R. Comin , S. Tongay , A. S. Botana

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

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

Magnetic van der Waals materials provide an ideal playground for exploring the fundamentals of low-dimensional magnetism and open new opportunities for ultrathin spin processing devices. The Mermin-Wagner theorem dictates that as in reduced…

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

Just over fifty years ago, Pierre Hohenberg developed a rigorous proof of the non-existence of long-range order in a two-dimensional superfluid or superconductor at finite temperatures. The proof was immediately extended by N. D. Mermin and…

Statistical Mechanics · Physics 2018-12-17 Bertrand I. Halperin

The recent discovery of two-dimensional (2D) van der Waals (vdW) magnetic materials has provided new, unprecedented opportunities for both fundamental science and technological applications. Unlike three-dimensional (3D) magnetic systems,…

Materials Science · Physics 2023-03-13 Manh-Huong Phan

Magnetism in recently discovered van der Waals materials has opened new avenues in the study of fundamental spin interactions in truly two-dimensions. A paramount question is what effect higher-order interactions beyond bilinear Heisenberg…

Mesoscale and Nanoscale Physics · Physics 2020-10-30 Alexey Kartsev , Mathias Augustin , Richard F. L. Evans , Kostya S. Novoselov , Elton J. G. Santos

The emergence of a long-range magnetic order in the atomically thin, two-dimensional (2D) limit has long remained a fundamental question in condensed matter physics. The advent of exfoliable van der Waals (vdW) materials, particularly…

Materials Science · Physics 2026-03-03 Rahul Kumar , Je-Geun Park

The recent emergence of 2D van der Waals magnets down to atomic layer thickness provides an exciting platform for exploring quantum magnetism and spintronics applications. The van der Waals nature stabilizes the long-range ferromagnetic…

Materials Science · Physics 2019-02-14 Wenyu Xing , Luyi Qiu , Xirui Wang , Yunyan Yao , Yang Ma , Ranran Cai , Shuang Jia , X. C. Xie , Wei Han

Mermin-Wagner-Coleman theorem predicts no long-range magnetic order at finite temperature in the two-dimensional (2D) isotropic systems, but a quasi-long-range order with a divergent correlation length at the Kosterlitz-Thouless (KT)…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Qiye Liu , Le Wang , Ying Fu , Xi Zhang , Lianglong Huang , Huimin Su , Junhao Lin , Xiaobin Chen , Dapeng Yu , Xiaodong Cui , Jia-Wei Mei , Jun-Feng Dai

Since the celebrated discovery of graphene, the family of two-dimensional (2D) materials has grown to encompass a broad range of electronic properties. Recent additions include spin-valley coupled semiconductors, Ising superconductors that…

Certain two-dimensional (2D) materials exhibit intriguing properties such as valley polarization, ferroelectricity, superconductivity and charge-density waves. Many of these materials can be manually assembled into atomic-scale multilayer…

Materials Science · Physics 2019-07-24 Jiangtan Yuan , Andrew Balk , Hua Guo , Sahil Patel , Xuanhan Zhao , Qiyi Fang , Douglas Natelson , Scott Crooker , Jun Lou

The study of magnetic phenomena in low-dimensional systems has largely explored after the discovery of two-dimensional (2D) magnetic materials, such as CrI3 and Cr2Ge2Te6 in 2017. These materials presents intrinsic magnetic order,…

General Physics · Physics 2025-04-08 Chee Kian Yap , Arun Kumar Singh
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